The manufacturing cost of an air-conditioning unit $544, and the full-replacement extended warranty costs $113. If the manufacturer sells 506,970 units with extended warranties and must replace 20% of them as a result, how much will the replacement costs be? (Note: Assume manufacturing costs and replacement costs are the same.)
a. $55,158,336
b. $11,457,522
c. $2,129,274
d. $66,717,252
At a shelter, 15% of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies?
How many meters are there in 50 1/4 kilometers?
5,025 m
5,250 m
50,025 m
50,250 m
What is the GCF of two numbers or expressions that have no prime factors in common. Explain.
Mr. Kendrick had a $100 bill to buy meat for a family gathering. He bought two briskets for $13.50 each, eight pounds of sausage of $31.94, and six chickens for $20.16.
How much change should Mr. kendrick receive from his $100 bill?
The price of a technology stock has risen to $9.85 today. Yesterday's price was $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Makayla has $740 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
- She buys a new bicycle for $465.34.
- She buys 4 bicycle reflectors for $13.25 each and a pair of bike gloves for $18.12.
- She plans to spend some or all of the money she has left to buy new biking outfits for $25.69 each.
What is the greatest number of outfits Makayla can buy with the money that's left over?
When Sally went bowling, her scores were 108, 72, and 95. If she bowls a 4\(^\text{th}\) game, what will her score need to be to give her an average of 91?
Convert \(132\text{ cm}^2\) into square inches. When appropriate, round your answer off to the nearest thousandth.
If you require $20000 in two years time,the amount that you should invest at 6.5% per annum simple interest is closest to:
Denisha bought a car for $15000 and its value depreciated linearly.After 3 years the value was $11250.What is the amount of yearly depreciation?
Find the indicated partial sums for the sequencd
11,22,33,44,……S4and S5
Phoenix is 922 square miles.There are approximately 8538502 people in Phoenix.Approximately how many people per square mile are there in Phoenix.
The weight of a newborn baby panda weighs \(2.2\times 10^{-1} \) pounds. If an adult panda can weight up to \(1.2\times 10^{3} \)) times more than a newborn panda,how many pounds does an adult panda weight?
Ryan works in sales and is paid a retainer which is equivalent to a salary of $ 52000 p.a. He also earns a commission of 1.5% of his sales. Last fortnight, his sales totalled $ 45200 . What would be his pay for the fortnight?
A clothing retail outlet purchased clothes in bulk from a wholescaler for $47310.This was after a discount of 20% on the purchase.Calculate the original price of the clothes.
5+10+15+20+25+……=\(\sum_{k=1}^{\infty } \)
Draw a copmarison model to show 63 is 9 times as many as 7
The maximum distance d in kilometers that you can see from a height of h meters is given by d=\(3.5\sqrt{h}\). Find the distance you can see from the top of a tower that is 263.5 meters high.
As part of a fundraiser, the Cobble Hill Daycare collected 430 returnable bottles and cans, some worth 5 cents each and the rest worth 10 cents each. If the total value of the cans and bottles was $26.20, how many 5-cent bottles or cans and how many 10-cent bottles or cans were collected?
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix with 20 oz of nuts? Show your work.
Finn is checking the distance between two rooms on a blueprint. The blueprint uses a scale in which \(1\) inch equals \(20\) meters. If the actual distance between the rooms is \(134\) meters. how far is it between the rooms on the blueprint, in inches? Your answer can be exact or rounded to two decimal places.
Airplane ticket prices for a concert increased from \(\$800.00\) to \(\$1000.00\). What was the percent of the increase?
a. \(2\%\)
b. \(18\%\)
c. \(20\%\)
d. \(25\%\)
Kuldeep has been hired to lay terracotta tiles on a floor that measures \(4.2\) m by \(3.8\) m. The tiles are \(9\) by \(9\) and come in boxes of \(12\).
a) How many boxes must he buy? (He cannot buy a partial box.)
b) If the tiles cost \(\$18.95\) per box, how much will the tiles cost in total?
A patient weighs \(188\) pounds and begins a new diet plan. The patient records any change in weight after each month. He recorded the following changes for \(4\) months: \(-4.9\) lb, \(-3.7\) lb, \(+2.1\) lb, and \(-0.9\) lb. What is the patient's weight after the \(4\) month period.
Ashley wants to wallpaper the back wall of her bedroom. The wall is in the shape of a rectangle. Its length is \(16\) feet and its width is \(13\) feet. Suppose wallpaper costs \(\$5\) for each square foot. How much will wallpaper cost for the wall.
Simona has \(12\) quarters, \(5\) dimes, and \(6\) nickels in her piggy bank. If there are no other coins or bills, what is the amount of money in Simona's piggy bank.
Currently, you're working as a technician at the hospital. Your hourly wage is $12.25.
a. If you work 40 hours this week, how much money would you make (before taxes)?
b. You earned $1,200.50 over a three-week period. How many hours did you work?
Gabriela has a summer job working for a biologist studying a type of flower. Gabriela's job is to collect these flowers from a local park. The biologist pays Gabriela $35 per flower and a weekly base salary of $160. Last week, Gabriela earned $335 from the biologist.
How many flowers does Gabriela collect last weet?
Simplify: \(8(-9-5x)+4b\) use \(x=9\) and \(b=-9\)
a. None of these answers are correct.
b. \(-1044\)
c. \(-468\)
d. \(-396\)
e. \(252\)
In \(2015\), the number of graduating seniors taking the ACT exam was \(1,924,887\). In \(2011\), a total of \(1,612,665\) graduating seniors took the exam. By what percent did the number increase over this period of time?
The men's \(110\)-meter hurdles is an event in the Olympic games. The distance from the starting line to the first hurdle is \(13.72\) meters. The distance from the first hurdle to the second hurdle is \(9.14\) meters. What is the total distance from the starting line to the second hurdle?
Sam wants to buy a remote control dune buggy that is \(30\%\) off. The original price is \(\$200.11\). What is amount of discount(nearest penny)?
In a city, the record monthly high temperature for March is \(56^{\circ}\mathrm{F}\). The record monthly low temperature for March is \(-4^{\circ}\mathrm{F}\). What is the range of temperatures for the month of march?
Last month, the online price of a powered ride-on car was \(\$250\). This month, the online price is \(\$330\). What is the percent of increase for the price of the car?
In the auditorium there are second third ,fourth and fifth graders. One sixth of the students are fifth graders, one third are fourth graders and one fourth of the remaining students are second graders. If there are \(96\) students in the auditorium, how many are second graders? what fraction of the students are second graders
Hayden says that \(\frac{3}{2}\) is a whole number because it does not repeat as a decimal. Is he correct? Why or why not?
Which list of numbers is ordered from least to greatest value?
A. \(\frac{1}{20},4.1\times10^{-1},4.8\%,\sqrt{4}\)
B. \(4.8\%,\frac{1}{20},4.1\times10^{-1},\sqrt{4}\)
C. \(\frac{1}{20},\sqrt{4},4.1\times10^{-1},4.8\%\)
D. \(4.1\times10^{-1},\frac{1}{20},\sqrt{4},4.8\%\)
Gadget Land is an electronics store. They buy a TV from the distributer for \(\$460.00 \). Before selling the TV, it is marked up to \(\$1610\). What percentage did Gadget Land mark up the TV before selling it?
Ryan has \(10\) quarters. Kelly has exactly seven times as much money as Ryan. They will combine their money to buy a game. The game costs \(\$27\). How much more money do they need to save?
