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Apply rates across unfamiliar problems: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
Write a unit beside every rate and name the base of each percentage. Distinguish a fixed amount from a proportional change and simple interest from repeated multiplication.
A deposit of 2000 grows by 10 percent each year with annual compounding and no transactions. What is its value after two years?
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A price increases by 25 percent. By what percent must the new price decrease to restore the original price?
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A worker completes 3/8 of a task in 45 minutes at a constant rate. How many minutes are required for the entire task?
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A solution contains 12 grams of salt in 80 grams of solution. How many grams of pure water must be added to make salt 10 percent of the total mass?
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A car travels 90 miles at 30 mph and returns 90 miles at 60 mph. What is the average speed, in mph, for the round trip?
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A map uses 3 centimeters for 8 kilometers. What actual distance in kilometers corresponds to 7.5 centimeters?
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A population is 1200 after falling by 20 percent. What was the population before the decline?
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The ratio of red to blue tiles is 3:5. After 12 red tiles are added, their counts are equal. How many tiles were there originally?
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A machine uses 2.4 kilowatt-hours to make 60 parts. At the same rate, how many kilowatt-hours does it use for 175 parts?
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A balance grows from 800 to 882 in two years at one fixed annually compounded rate. What is the annual percentage rate?
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A tank holds 50 liters of a 20 percent salt solution. Ten liters are removed and replaced with pure water; the mixture is stirred, and this process is repeated once. What percent salt is the final solution?
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Reconstruct the original quantity from the final one as a check, and verify that combined work rates refer to the same whole task.