Jolene invests her savings in two bank accounts, one paying \( 5 \% \) and the other paying \( 12 \% \) interest per year. She puts twice as much in the lower-yielding account because it is less risky. If she earned \( \$ 3366 \) of total interest for the year, how much was invested in each account? She invested \(\$\) in the account earning \(5 \% \) interest. She invested \(\$\) in the account earning \(12 \% \) interest.

A BCom graduate bought a small apartment for R151 000. She paid a down payment of R51 000. If the graduate secures a mortgage bond for the balance at \(15 \% \) per annum, compounded monthly, with a term of 

\(30\) years, what are the monthly payments? 

A. R419,44 

B. R1 \(316,79\) 

C. R1 \(988,35\) 

D. R1 \(264,44\) 

Suppose that a company has just purchased a new computer for $1500. The company chooses to depreciate using the straight-line method for 5 years. 

(a) Write a linear function that expresses the book value of the computer as a function of its age. 

V(x) = -300x + 1500 

(Type your answer in slope-intercept form.) 

(b) What is the implied domain of the function found in part (a)? 

\( \square \) 

(Type your answer in interval notation.) 

On November 1, you decide that in exactly two years you will take a cruise that costs $ 11,211 . How much should you deposit each month into your vacation fund in order to have $ 11,211  in two years to pay for the trip? Assume an annual interest rate of 1.3% compounded monthly. (Assume that the deposits are made at the end of each compounding period.) The amount that should be deposited is \(\$ \) (Round up to the nearest cent.) 

The following data were reported by a corporation:  

1.

Authorized shares 34,000 Issued shares 29,000 Treasury shares 10,500 The number of outstanding shares is: Multiple Choice: 1. 23,500 2. 18,500 3. 44,500 4. 34,000

2.

Authorized shares 20,000 Issued shares 15,000 Treasury shares 3,000 The number of outstanding shares is:_____

3.

Authorized shares 22,000 Issued shares 17,000 Treasury shares 4,000 The number of outstanding shares is:

Multiple Choice: 1. 22,000 2. 13,000 3. 26,000

4.

Authorized shares 31,000 Issued shares 26,000 Treasury shares 9,000

The number of outstanding shares is:

1. 26,000

2. 17,000

3. 31,000

4. 40,000

5. 22,000

5.

Authorized shares: 60,000

Issued shares: 50,000

Treasury shares: 12,000

The number of outstanding shares is:

Multiple Choice:

1. 50,000

2. 38,000

3. 62,000

4. 48,000

6.

Authorized shares: 40,000

Issued shares: 32,000

Treasury shares: 8,000

The number of outstanding shares is:

Multiple Choice:

1. 24,000

2. 40,000

3. 32,000

4. 40,000

show the work please

Problem \(6 : \) Simple Interest Ania just made \(\$ 1000\) selling her NFT. She plans to invest the money, not touching it for \(10\) years. She plans to invest in a money market at \(3.5 \% \) interest, compounded annually. How much money will she have after \(10\) years? 

HINT: Use the formula Total \(= P ( 1 + r ) ^ { t } \) where P = current value of money, \(r = \) interest rate, and \(t = \) time 

Final Amount in dollars (round to the nearest dollar):