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Q:

Kavya has $$\ 200$$ in US dollars, which she will exchange for local currency at each stop as she travels to Ireland, India, Japan, Denmark, and Canada. On the dates she makes her transactions, she gets exchange rates of $$2$$ Danish krone per $$37$$ Japanese yen; $$4$$ US dollars for $$3$$ euros (used in the European Union, including Ireland); and $$5.1$$ krone per Canadian dollar.

$$1000$$ Indian rupees may be exchanged for $$12.2$$ euros or $$1700$$ yen. How does her final cash-on- hand in Canadian dollars compare to what she would have gotten by travelling directly to Canada, getting $$\ 1.07$$ CAD for every $$\ 1$$ US? (Ignore transaction fees.)

A) $34.16 CAD less B)$7.53 CAD less

C) $7.53 CAD more D)$221.53 CAD more

Q:

Edgar accumulated $$\ 5,000$$ in credit card debt. If the interest rate is $$20 \%$$ per year and he does not make any payments for $$2$$ years, how much will he owe on this debt in $$2$$ years with monthly compounding?

Q:

Edgar accumulated $$\ 5,000$$ in credit card debt. If the interest rate is $$20 \%$$ per year and he does not make any payments for $$2$$ years, how much will he owe on this debt in $$2$$ years with monthly compounding?

Q:

Edgar accumulated $$\ 5,000$$ in credit card debt. If the interest rate is $$20 \%$$ per year and he does not make any payments for $$2$$ years, how much will he owe on this debt in $$2$$ years with monthly compounding?

Q:

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $$\ 26.20$$ and then an additional $$5$$ cents per minute of use. In Plan $$B$$ , the customer pays a monthly fee of $$\ 20$$ and then an additional $$7$$ cents per minute of use.

For what amounts of monthly phone use will Plan A cost less than Plan B?

Use $$m$$ for the number of minutes of phone use, and solve your inequality for $$m$$ .

Q:

Glenda placed $$\ 1900$$ in a savings account that compounds interest continuously at a rate of $$2.4 \%$$ .

How much will she have in the account after $$2$$ years?

Do NOT round until you have calculated the final answer.

Q:

A recent graduate invested $$\ 12,000$$ in a savings account. If the interest rate is $$6 \%$$ , how much will be in the account in $$10$$ years by compounding continuously? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer. Provide your answer below:

A=$$\ \square$$

Q:

Quinn invested $$\ 8,500$$ in a savings account. If the interest rate is $$2.98 \% ,$$ how much will be in the account in $$12$$ years by compounding continuously? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

A=$$\ \square$$

Q:

Maricopa's Success scholarship fund receives a gift of $$\ 120000$$ . The money is invested in stocks, bonds, and CDs. CDs pay $$5.25 \%$$ interest, bonds pay $$4.7 \%$$ interest, and stocks pay $$6.8 \%$$ interest. Maricopa Success invests $$\ 20000$$ more in bonds than in CDs. If the annual income from the investments is $$\ 7010$$ , how much was invested in each account?

Q:

A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $$\ 44,000$$ when the child reaches the age of $$18 ?$$ Assume the money earns $$8 \%$$ interest, compounded quarterly. (Round your answer to two decimal places.)

Q:

Suppose you obtain a $$25$$ -year mortgage loan of $$\ 196,000$$ at an annual interest rate of $$8.5 \%$$ . The annual property tax bill is $$\ 974$$ and the annual fire insurance premium is $$\ 494 .$$ Find the total monthly payment for the mortgage, property tax, and fire insurance. (Round your answer to the nearest cent.)

Q:

Angela invested $$\ 15,000$$ in a savings account. If the interest rate is $$4 \%$$ , how much will be in the account in $$10$$ years by compounding continuously? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

Q:

Ingrid deposits $$\ 10,000$$ in an IRA. What will be the value of her investment in $$6$$ years if the investment is earning $$3.2 \%$$ per year and is compounded continuously? Round your answer to the nearest cent.

Q:

Diane wants to buy a new boat but needs money for the down payment. Her parents agree to lend her money at an annual rate of $$3 \%$$ , charged as simple interest. They lend her $$\ 8000$$ for $$4$$ years. She makes no payments except the one at the end of that time.

Answer the following questions. If necessary, refer to the list of financial formulas.

(a) How much total interest will Diane have to pay?

(b) What will the total repayment amount be (including interest)?

Q:

E-Loan, an online lending service, recently offered $$36$$ -month auto loans at $$4.2 \%$$ compounded monthly to applicants with good credit ratings. If you have a good credit rating and can afford monthly payments of $$\ 389$$ , how much can you borrow from E-Loan? What is the total interest you will pay for this loan? You can borrow $$\ \square$$ . (Round to two decimal places.)

Q:

An athlete signs a contract that guarantees a $8-million salary 6 yr from now. Assuming that money can be invested at 6.1% with interest compounded continuously, what is the present value of that year's salary? $$\ \square$$ (Round to the nearest dollar as needed. Do not include the $$\$$ symbol in your answer.) Q: An athlete signs a contract that guarantees a $$\ 8 -$$ million salary $$6 yr$$ from now. Assuming that money can be invested at $$6.1 \%$$ with interest compounded continuously, what is the present value of that year's salary? Q: For the third week of July, Donald Watson worked $$51.50$$ hours. Donald earns $$\ 14.50$$ an hour. His employer pays overtime for all hours worked in excess of $$4$$ hours per week and pays $$1.5$$ times the hourly rate for overtime hours. Calculate the following for the third week of July (round your responses to the nearest cent if necessary): I. Regular paramount: $$\ 580.00$$ 2. Overtime pay: $$\ \square$$ 3. Gross pay: $$\ \square$$ Q: A bank features a savings account that has an annual percentage rate of $$r = 5.19$$ with interest compounded quarterly. Leo deposits $$\ 6,000$$ into the account. The account balance can be modeled by the exponential formula $$S ( t ) = P ( 1 + \frac { r } { n } ) ^ { n t } ,$$ where $$S$$ is the future value, $$P$$ is the present value, $$r$$ is the annual percentage rate, $$n$$ is the number of times each year that the interest is compounded, and $$t$$ is the time in years. (A) What values should be used for $$P , r$$ , and $$n$$ ? $$P = \square , \quad r = \square , \quad n = \square$$ (B) How much money will Leo have in the account in $$9$$ years? Answer $$= \ \square$$ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY $$= \square \%$$ Round answer to $$3$$ decimal places. Q: Find the time required for an investment of $$5000$$ dollars to grow to $$7800$$ dollars at an interest rate of $$7.5$$ percent per year, compounded quarterly. Q: Find the time it takes for $$\ 6,100$$ to double when invested at an annual interest rate of $$2.6 \%$$ , compounded continuously. Give your answer to $$2$$ decimal places. Find the time it takes for $$\ 219,600$$ to double when invested at an annual interest rate of $$2.6 \%$$ , compounded continuously. Give your answer to $$2$$ decimal places. Q: The doubling period of a bacterial population is $$10$$ minutes. At time $$t = 100$$ minutes, the bacterial population was $$70000$$ . What was the initial population at time $$t = 0 ?$$ Find the size of the bacterial population after $$3$$ hours. Q: $$\ 2000$$ are invested in a bank account at an interest rate of $$10$$ percent per year. Find the amount in the bank after $$9$$ years if interest is compounded annually. Find the amount in the bank after $$9$$ years if interest is compounded quarterly. I Find the amount in the bank after $$9$$ years if interest is compounded monthly. Finally, find the amount in the bank after $$9$$ years if interest is compounded continuously. Q: Many mortgage lenders offer a way to lower your interest rate by paying some of the interest up front. This prepaid interest is known in the industry as points. Each point corresponds to $$1 \%$$ of the amount borrowed. In short, you're paying a fee to lower your interest rate. A lender offers you a $$40$$ -year fixed mortgage of $$\ 130,000$$ at $$2.9 \%$$ interest when you buy $$3$$ points. Find the monthly payment. Do not round intermediate calculations. Round your answer to the nearest cent. The monthly payment would be $$\ \square$$ . Q: Many mortgage lenders offer a way to lower your interest rate by paying some of the interest up front. This prepaid interest is known in the industry as points. Each point corresponds to $$1 \%$$ of the amount borrowed. In short, you're paying a fee to lower your interest rate. A lender offers you a $$50$$ -year fixed mortgage of $$\ 130,000$$ at $$9 \%$$ interest with no points. Find the monthly payment. Do not round intermediate calculations. Round your answer to the nearest cent. The monthly payment is $$\ \square$$ Q: If you have a job making $$\ 35,880$$ , this puts you in the $$15 \%$$ tax bracket and combining state and local taxes, you might end up having $$20 \%$$ deducted. You then get a raise of $$\ 39,500 ,$$ which moves you up a bracket and now $$24 \%$$ gets deducted. How much would you pay in taxes? Q: If you have a job making $$\ 35,880$$ , this puts you in the $$15 \%$$ tax bracket and combining state and local taxes, you might end up having $$20 \%$$ deducted. You then get a raise of $$\ 39,500$$ , which moves you up a bracket and now $$24 \%$$ gets deducted. How much would you pay in taxes and how much would you have left before you got a raise? Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of $$6.7$$ years, and standard deviation of $$1.3$$ years. The $$9 \%$$ of items with the shortest lifespan will last less than how many years? Q: Use a graphing calculator to find the solution to the situation. Ida needs to hire a singer for her wedding. Singer $$A$$ is offering his services for an initial $$\ 70$$ in addition to $$\ 13.35$$ per hour. Singer $$B$$ is offering her services for an initial $$\ 73$$ in addition to $$\ 12.15$$ per hour. When will the two singers charge the same amount of money? If necessary, round your answer to the nearest tenth. At approximately $$\square$$ hours, both singers will charge about the same amount. Q: 1. A house cost $$\ 320,000$$ in $$2005$$ . By the year $$2019$$ , its value was $$\ 560,000$$ . What was the growth rate as a percent for that $$14$$ -year period? (Remember, $$i = ( \frac { p _ { 2 } } { p _ { 1 } } ) ^ { \frac { 1 } { n } } - 1 )$$ . Q: Use PMT $$= \frac { P ( \frac { r } { n } ) } { [ 1 - ( 1 + \frac { r } { n } ) ^ { - n t } ] }$$ to determine the regular payment amount, rounded to the nearest cent. The cost of a home is financed with a $$\ 140,00020$$ -year fixed-rate mortgage at $$4 \% .$$ The monthly payment is $$\ \square$$ . (Do not round until the final answer. Then round to the nearest cent as needed.) Q: The carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs 133 pounds, how much wool is in the carpet? Q: If Karen invested$1800 in a simple interest account and and $84 and 8 months, what is the annual interest rate? Q: How much money must Andrea invest for 5 years in an account that earns an annual simple interest rate of 8% if she wants to earn$650 from the investment?

Q:

According to the annual summer vacation survey conducted by Myvesta, a nonprofit consumer education organization, the average summer vacation cost $2252. If$1790 of this amount is charged on a credit card, what percent of the vacation cost is charged? Round to the nearest 10th of a percent.

Q:

How much money in dollars should a person deposit in a 6-month certificate of deposit CD that earns 5% simple interest in order to have $4000 when the CD matures at the end of the 6 months? Round your answer up to the nearest cent. Q: How much money should Andrea invest for 5 years in an account that earns an annual simple interest of 8% if she wants to earn$650 from the investment?

Q:

A parts manager must find $$120$$ car fuel filters for less than $$\ 23.50$$ per filter. He creates the following inequality: $$23.50 > \frac { t + 35.00 } { 120 }$$ , where $$t =$$ total cost and $$35$$ represents a shipping fee. Which statement describes the values for $$t$$ that will allow the manager to spend less than $$\ 23.50$$ per fuel filter?

Any amount less than $$\ 2820$$

Any amount less than $$\ 1997$$

Any amount less than $$\ 2785$$

Any amount less than $$\ 7020$$

Q:

Terrence buys a new car for $$\ 20,000$$ . The value of the car depreciates by $$15 \%$$ each year. If $$f ( x )$$ represents the value of the car after $$x$$ years, which function represents the car's value?

$$f ( x ) = 20,000 ( 0.85 ) ^ { x }$$

$$f ( x ) = 20,000 ( 0.15 ) ^ { x }$$

$$f ( x ) = 20,000 ( 1.15 ) ^ { x }$$

$$f ( x ) = 20,000 ( 1.85 ) ^ { x }$$

Q:

Joseph pays $$\ 20$$ for his base phone plan in addition to the $$\ 0.10$$ per text. Micki pays $$\ 10$$ for her phone plan plus the $$\ 0.15$$ per text. Write a function for Joesph's phone plan and for Micki's phone plan. Provide the number of text messages in which the plans are the same plan.

Q:

Mccanna invested $800 in a simple interest account that had an interest rate that was 1% more than that of her friend Marley‘s. If Marley‘s Earned$60 after one year from an investment of $750, how much did McCanna make? Q: A mechanics Tulsa is on sale for$192 after a markdown of 40% off the regular price. Find the regular price.

Q:

Ansley takes out a loan of $$\ 2500$$ with a $$5.5 \%$$ interest rate that is compounded semi- annually. If she pays off the loan in $$5$$ years, how much will she end up paying? Round the answer to the nearest whole dollar.

Q:

At age 25, you start work for a company and are offered two retirement options.

Retirement option 1: When you retire, you will receive a lump sum of $$\ 30,000$$ for each year of service.

Retirement option 2: When you start to work, the company deposits $$\ 15,000$$ into an account with an APR of $$12 \%$$ compounded monthly. When you retire, you get the balance of the account.

1. At age $$55$$ , option $$1$$ will provide a retirement benefit of what amount?

2. At age $$55$$ , option $$2$$ will provide a retirement benefit of what amount? Round your answer to the nearest whole dollar.

3. Which option is better if you retire at age $$55$$ ?

Q:

Maya is taking her friends to a concert. Each ticket costs $$\ 25$$ , and souvenir T-shirts are $$\ 12$$ each. There is a $$\ 4$$ service fee for the entire purchase. She has $$\ 130$$ . If she buys $$3$$ tickets, what is the maximum number of T-shirts she can buy? If $$x =$$ number of tickets and $$y =$$ number of T-shirts, which of the following inequalities could you use to answer the problem?

A. $$x + y < 130$$

B. $$25 x + 12 y + 4 \leq 130$$

C. $$25 x + 12 y + 4 \geq 130$$

D. $$25 x + 12 y \leq 130$$

Q:

A woman earned wages of $$\ 31,700$$ , received $$\ 1900$$ in interest from a savings account, and contributed $$\ 3000$$ to a tax-deferred retirement plan. She was entitled to a personal exemption of $$\ 4050$$ and had deduction: \\$6620. Find her gross income, adjusted gross income, and taxable income.

Her gross income was $$\ \square$$ . (Simplify your answer.)

Her adjusted gross income was $$\ \square$$ . (Simplify your answer.)

Her taxable income was $$\ \square$$ . (Simplify your answer.)

Q:

A small-business owner is trying to determine the best way to pay off two loans. In the end, she decides that she will pay each loan off in an amount directly correlated with the interest rate on the loan. One loan has an interest rate of $$7 \%$$ , and the other has an interest rate of $$11 \%$$ . If she pays a total of $$\ 6,300$$ between the two loans, how much does she pay on the $$7 \%$$ loan?

A) $$\ 1,750$$

B) $$\ 2,450$$

C) $$\ 3,150$$

D) $$\ 3,850$$

Q:

13. Charlie invests $$\ 8,000$$ into an account to save for college. If the investment is compounded annually at a rate of $$6 \%$$ , how much will Charlie have in $$3$$ years?

$$\ 10,432.51$$

$$\ 9,528.12$$

$$\ 14,338.75$$

$$\ 12,426.37$$

Q:

Priya starts with $$\ 50$$ in her bank account. She then deposits $$\ 20$$ each week for $$12$$ weeks. Write an equation that represents the relationship between the dollar amount $$( y )$$ in her bank account and the number of weeks $$( x )$$ of saving.

$$y =$$

Q:

A car dealership increased the price of a certain car by $$5 \%$$ . The original price was $$\ 41,400 .$$

(a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price $$= [ \times$$ Original price (b) Use your answer in part (a) to determine the new price.

Q:

Nazanin is totaling up the tips she earned over the last week she worked. On Wednesday she earned $$\ 12$$ , on Thursday she earned $$\ 28$$ more, and on both Friday and Saturday she earned $$\ 42$$ . How much did she earn in tips alone for these days she worked?

Q:

A company that manufactures small canoes has a fixed cost of $$\ 24,000$$ . It costs $$\ 120$$ to produce each canoe. The selling price is $$\ 240$$ per canoe. (In solving this exercise, let $$x$$ represent the number of canoes produced and sold.) a. Write the cost function.

$$C ( x ) = \square$$ (Type an expression using $$x$$ as the variable.)

Q:

Jane invested her savings in two investment funds. The $$\ 6000$$ that she invested in Fund A returned a $$7 \%$$ profit. The amount that she invested in Fund returned a $$2 \%$$ profit. How much did she invest in Fund $$B$$ , if both funds together returned a $$5 \%$$ profit?

Amount invested in Fund $$B : \ \square$$

Q:

Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $$\ 310,000$$ Rolls-Royce Phantom. Jack currently has $$\ 47,380$$ that he may invest. He has found a mutual fund with an expected annual return of $$5$$ percent in which he will place the money. How long will it take Jack to win Jill's hand in marriage? Ignore taxes and inflation. The number of years it will take for Jack to win Jill's hand in marriage is $$\square$$ years.

(Round to one decimal place.)

Q:

Moneysaver's Bank offers a savings account that earns $$8.5 \%$$ interest compounded continuously. If Boris deposits $$\ 3400$$ , how much will he have in the account after two years, assuming he makes no withdrawals? Do not round any intermediate computations, and round your answer to the nearest cent.

Q:

The price of a condominium is $$\ 119,000$$ . The bank requires a $$5 \%$$ down payment and one point at the time of closing. The cost of the condominium is financed with

$$30$$ -year fixed-rate mortgage at $$9 \%$$ . Use the following formula to determine the regular payment amount. Complete parts (a) through (e) below.

$$P M T = \frac { P ( \frac { r } { n } ) / t } { [ 1 - ( 1 + \frac { r } { n } ) ^ { - n t } ] }$$

a. Find the required down payment.

b. Find the amount of the mortgage.

c. How much must be paid for the one point at closing?

(Round to the nearest dollar as needed.)

Q:

Suppose that on January $$1$$ you have a balance of $$\ 5900$$ on a credit card whose APR is $$17 \%$$ , which you want to pay off in $$2$$ years. Assume that you make no additional charges to the card after January $$1 .$$

b. When the card is paid off, how much will you have paid since January $$1$$ ?

c. What percentage of your total payment (part b) is interest?

a. The monthly payment is $$\ \square$$ . (Do not round until the final answer. Then round to the nearest cent as needed.)

Q:

Consider a home mortgage of $$\ 125,000$$ at a fixed APR of $$3 \%$$ for $$20$$ years.

a. Calculate the monthly payment.

b. Determine the total amount paid over the term of the loan.

c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

a. The monthly payment is $$\ \square$$ . (Do not round until the final answer. Then round to the nearest cent as needed.)

b. The total amount paid over the term of the loan is $$\$$

Q:

Aliyah earned an $$\ 6,000$$ bonus from her sales job for exceeding her sales goals. After paying taxes at a $$30 \%$$ rate, she invested the remaining money in two stocks. One stock returned the cquivalent of $$10 \%$$ simple interest after $$1$$ yr, and the other returned $$4 \%$$ at the end of $$1$$ yr. If her investments returned $$\ 240.00$$ (cxcluding commissions) how much did she invest in each stock

Q:

You are ordering shirts for a club at your school. The function $$f ( x ) = 8 x + 12$$

represents the cost of ordered $$x$$ shirts. How much would it cost to buy $$32$$ shirts? It cost $$\$$        to buy $$32$$ shirts.

Q:

Investments increase exponentially by about $$60 \%$$ every $$6$$ years. If you start with a $$\ 2,500$$ investment, how much money would you have after $$18$$ years? Future Amount $$= \ [ ? ]$$

Q:

A vehicle purchased for $$\ 25000$$ depreciates at a constant rate of $$9 \%$$ . Determine the approximate value of the vehicle $$14$$ years after purchase.

Round to the nearest whole number.

Q:

(Yield to maturity) The Saleemi Corporation's $$\ 1,000$$ bonds pay $$7$$ percent interest annually and have $$13$$ years until maturity. What is the yield to maturity on this bond? Should you purchase the bond if the yield to maturity on a comparable-risk bond is $$10$$ percent? The yield to maturity on the Saleemi bonds is $$\square \%$$ (Round to two decimal places.)

Q:

The value of China's exports of automobiles and parts (in billions of dollars) is approximately

$$f ( x ) = 1.8208 e ^ { 0.3387 x }$$ , where $$x = 0$$ corresponds to 1998. In what year did/will the exports reach $$\ 9.9$$ billion?

Give your answer as the year, with at least one decimal place

Q:

The value of China's exports of automobiles and parts (in billions of dollars) is approximately

$$f ( x ) = 1.8208 e ^ { 0.3387 x }$$ , where $$x = 0$$ corresponds to $$1998$$ . In what year did/will the exports reach $$\ 9.9$$

billion?

Give your answer as the year, with at least one decimal place

Q:

Stefany's salary at her company, Horizon Logistics starts at a base salary of $$\ 60,000$$ . The table below shows her salary $$g ( x )$$ after $$x$$ years. Identify the geometric sequence of her salary.

Q:

Luis, an $$11^ { th}$$ grader at Learn4Life invested $$\ 400$$ in the stock market. At the start of year $$2$$ , his investment was worth $$\ 500$$ . At the start of year $$3$$ , his investment was worth $$\ 625$$ . The increase in stock price can be mapped by a geometric sequence. Write an explicit rule for the given situation.

Q:

(Bond valuation) Calculate the value of a bond that matures in $$19$$ years and has a $$\ 1,000$$ par value. The annual coupon interest rate is $$9$$ percent and the market's required yield to maturity on a comparable-risk bond is $$13$$ percent.

The value of the bond is $$\ \square$$ . (Round to the nearest cent.)

Q:

A lender requires a minimum down payment of $$16 \%$$ of the value of the home. You have $$\ 26,000$$ cash available to use as a down payment toward a home. Determine the maximum home value that you can finance. You can afford to finance a home worth at most $$\$$ Round your answer to the nearest dollar.

Q:

A lender requires a minimum down payment of $$20 \%$$ of the value of the home. You have $$\ 29,000$$ cash available to use as a down payment toward a home. Determine the maximum home value that you can finance. You can afford to finance a home worth at most $$\$$ Round your answer to the nearest dollar.

Q:

Suppose that $$\ 2000$$ is invested at a rate of $$2.3 \%$$ , compounded semiannually. Assuming that no withdrawals are made, find the total amount after $$9$$ years. Do not round any intermediate computations, and round your answer to the nearest cent.

Q:

Find the amount that results from the given investment.

$$\ 700$$ invested at $$2 \%$$ compounded daily after a period of $$2$$ years.

Q:

Find the time required for an investment of $$5000$$ dollars to grow to

$$6700$$ dollars at an interest rate of $$7.5$$ percent per year, compounded quarterly. Your answer is $$t =$$ years.

Q:

A house was valued at $$\ 100,000$$ in the year $$1987$$ . The value appreciated to $$\ 175,000$$ by the year $$2000$$ .

Use the compound interest formula $$S = P ( 1 + r ) ^ { t }$$ to answer the following questions.

A) What was the annual growth rate between $$1987$$ and $$2000$$ ?

B) What is the correct answer to part A written in percentage form?

C) Assume that the house value continues to grow by the percentage. What will the value equal in the year 2004?

Q:

Find the amount that results from the given investment.

$$\ 60$$ invested at $$11 \%$$ compounded continuously after a period of $$2$$ years.

Q:

Use the compound interest formulas $$A = P ( 1 + \frac { r } { n } ) ^ { n t }$$ and $$A = P e ^ { r t }$$ to solve the problem given. Round answers to the nearest cent.

Find the accumulated value of an investment of $$\ 20,000$$ for $$4$$ years at an interest rate of $$5 \%$$ if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.

a. What is the accumulated value if the money is compounded semiannually?

$$\$$

(Round your answer to the nearest cent. Do not include the $$\$$ symbol in your answer.)

b. What is the accumulated value if the money is compounded quarterly?

$$\$$

(Round your answer to the nearest cent Do not include the $$\$$ symbol in your answer.)

c. What is the accumulated value if the money is compounded monthly?

$$\$$

(Round your answer to the nearest cent Do not include the $$\$$ symbol in your answer)

d. What is the accumulated value if the money is compounded continuously?

$$\ \square$$

Q:

$$\ 60$$ invested at $$11 \%$$ compounded continuously after a period of $$2$$ years After $$2$$ years, the investment results in $$\ \square$$ . (Round to the nearest cent as needed.)

Q:

Wayne has $$\ 12,500$$ in a high interest savings account with $$3.66 \%$$ annual interest compounded monthly. Assuming he makes no deposits or withdrawals, how long will it take for his investment to grow to $$\ 20,000$$ ? Round answers to the nearest tenth of a year.

Q:

An account with the following initial deposits earns $$7.25 \%$$ annual interest compounded continuously. How much will the account be worth after $$20$$ years? Round answers to the nearest cent.

Q:

Find the amount that results from the given investment.

$$\ 400$$ invested at $$10 \%$$ compounded quarterly after a period of $$2$$ years After $$2$$ years, the investment results in $$\ \square$$ . (Round to the nearest cent as needed.)

Q:

Find the amount that results from the given investment.

$$\ 100$$ invested at $$2 \%$$ compounded daily after a period of $$2$$ year After $$2$$ years, the investment results in $$\ \square$$ . (Round to the nearest cent as needed.)

Q:

Find the amount that results from the given investment.

$$\ 70$$ invested at $$6 \%$$ compounded continuously after a period of $$3$$ years After $$3$$ years, the investment results in $$\$$ (Round to the nearest cent as needed.)

Q:

The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses $$250$$ minutes, the monthly cost will be $$\ 69.5$$ . If the customer uses $$640$$ minutes, the monthly cost wilt be $$\ 128$$ . A) Find an equation in the form $$y = m x + b$$ , where $$x$$ is the number of monthly minutes used and $$y$$ is the total monthly of the Ringular plan. Answer: $$y =$$ Do not use any commas in your answer. B) Use your equation to find the totat monthly cost if $$935$$ minutes are used. Answer: If $$935$$ minutes are used, the total cost will be

Q:

An initial population of $$625$$ quail increases at an annual rate of $$14 \%$$ . Write an exponential function to model the quail population.

$$f ( x ) = ( 625 \cdot 0.14 ) ^ { x }$$

$$f ( x ) = 625 ( 14 ) ^ { x }$$

$$f ( x ) = 625 ( 0.14 ) ^ { x }$$

$$f ( x ) = 625 ( 1.14 ) ^ { x }$$

Q:

The purchase price of a condominium is $$\ 122,000 .$$ A down payment of $$26 \%$$ is made. The bank charges $$\ 730$$ in fees plus $$4 \frac { 1 } { 2 }$$ points. Find the total of the down payment and the closing costs. (Round your answer to the nearest cent.)

$$\ \square$$

Q:

In business, there is a formula used to find simple interest on an account. The formula is

rate $$\times$$ time $$\times$$ principle $$=$$ interest.

The rate is the percentage rate, usually per year, and time is in years with the principle being the amount of money put into the account originally. The interest will be the money earned on the account.

If I put $$\ 100$$ into an account offering $$7 \%$$ interest per year, how much interest would I earn in three years?

$$\ 21.00$$

$$\ 38.60$$

$$\ 12.80$$

Q:

Working with Percents The sales tax rate in a particular town is $$9.1 \%$$ . How much tax will you pay on a $$\ 5,100$$

purchas will pay $$\$$ Round your answer to the nearest cent. Question Help: Submit Question

Q:

A drug trial had $$133$$ participants. A survey was taken to determine how many had nausea as a side effect and how many had drowsiness as a side effect. The Venn diagram below shows the results. (Each number gives the number of participants who fall into that Venn diagram category.)

(a) How many of the participants had drowsiness? $$54$$ participants

(b) How many of the participants had nausea or drowsiness (or both)?

(c) How many of the participants did not have both nausea and drowsiness?

Q:

Given the Exponential Equation, determine the Initial Value and Rate of Change as a Percent for each of the following.

Q:

The fox population in a certain region has a relative growth rate of $$4$$ percent per year. It is estimated that the population in the year $$2000$$ was $$15,700$$ foxes.

a) Find an equation that models the population $$t$$ years after $$2000 ( t = 0$$ for $$2000 )$$ .

b) Use the equation from part (a) to estimate the fox population in the year $$2015$$ . Round to the nearest fox. foxes

Q:

b) The value decreases by $$\ 627$$ per year

c) The value increases by $$13 \%$$ per year

d) The value decreases by $$9 \%$$ per year

Q:

A politician's support increases from $$38 \%$$ to $$55 \%$$ Determine the absolute and relative change in this sitation.

Absolute Change: The politician's support has increased by __percentage points

Relative Change: The politician's support has increased by ___(Round your answer to the nearest tenth of a percent. )

Q:

The equations that represent the balance in three different savings accounts $$x$$ years after $$2012$$ ,

$$A = 900 ( 1.05 ) ^ { x }$$

$$B = 1100 ( 1.038 ) ^ { x }$$

$$C = 5000 ( 0.85 ) ^ { x }$$

Which of the following statements are TRUE? Check all that apply.

A. The balance of Account $$C$$ is decreasing at a rate of $$85 \%$$ per year.

B.  The balance of Account $$A$$ is growing at a rate of $$5 \%$$ per year.

C. Account C had the largest balance in the year $$2012 .$$

D. Account $$A$$ is growing faster than account $$B$$ .

Q:

After graduating from college, Carlos receives two different job offers. Both pay a starting salary of

$$\ 49000$$ per year, but one job promises a $$\ 3430$$ raise per year, while the other guarantees a $$6 \%$$ raise each year.

Complete the tables below to determine what his salary will be after $$t$$ years. Round your answers to the nearest dollar.

Q:

The equations that represent the balance in three different savings accounts $$x$$ years after $$2012$$ ,

$$A = 900 ( 1.05 ) ^ { x }$$

$$B = 1100 ( 1.038 ) ^ { x }$$

$$C = 5000 ( 0.85 ) ^ { x }$$

Which of the following statements are TRUE? Check all that apply.

The balance of Account $$C$$ is decreasing at a rate of $$85 \%$$ per year.

The balance of Account $$A$$ is growing at a rate of $$5 \%$$ per year.

Account $$C$$ had the largest balance in the year $$2012$$ .

Account A is growing faster than account $$B$$ .

Q:

Government agencies keep data about the income distribution of the population. The Taylor family and Jenkins family live in a county with $$5000$$ families. The Taylor family's income is at the $$64^ { th}$$percentile. The Jenkins family's income is at the $$27^ { th}$$percentile.

(a) Which of the following must be true about the Taylor family's and the Jenkins family's incomes?

Both the Taylor family and the Jenkins family earn more than the median income.

Both the Taylor family and the Jenkins family earn less than the median income.

The Taylor family earns more than the Jenkins family.

The Jenkins family earns more than the Taylor family.

(b) Which of the following must be true about the Taylor family's income?

About $$64 \%$$ of the families in their county earn less than the Taylor family.

The Taylor family earns about $$64 \%$$ of the highest income in their county.

The Taylor family's income is in the bottom half of incomes in their county.

The Taylor family earns $$\ 64,000$$ .

Q:

A politician's support increases from $$30 \%$$ to $$60 \%$$ Determine the absolute and relative change in this sitation.

Absolute Change: The politician's support has increased by ___percentage points.

Relative Change: The politician's support has increased by ___(Round your answer to the nearest tenth of a percent. )

Q:

The Total Return on an investment is the relative change in the investment value: $$Total Return= \frac { Ending Value- Initial Value} { Initial Value}$$

Jill pays $$\ 14,000$$ for shares in a new company. She sells the shares $$8$$ years later for $$\ 13,000$$ . What was her total return on this investment? Round your answer to the nearest tenth of a percent. The Total Return on Jill's investment is Submit Question

Q:

Evaluating Exponential Equations In $$2014$$ Staci invested $$\ 15,000$$ in a savings account for her newborn son. The account pays $$3.8 \%$$ interest each year. Determine the accrued value of the account in the year 2032, when her son will go to college. Round your answer the nearest cent. In the year 2032, the accrued value will be $$\$$

Q:

The equations that represent the balance in three different savings accounts $$x$$ years after $$2012$$ ,

$$A = 900 ( 1.05 ) ^ { x }$$

$$B = 1100 ( 1.038 ) ^ { x }$$

$$C = 5000 ( 0.85 ) ^ { x }$$

Which of the following statements are TRUE? Check all that apply.

Account A is growing faster than account $$B$$ .

Account $$C$$ had the largest balance in the year $$2012$$ .

The balance of Account $$C$$ is decreasing at a rate of $$85 \%$$ per year.

The balance of Account $$A$$ is growing at a rate of $$5 \%$$ per year.