If the value (or taxes) of something increased by 9% in one year, and then decreased by 4% the next year, by what percentage did the value change over the two-year period?

1.

Your car uses .22 liters per mile. The price of gas is 1.17 dollars per liter. How much in British pounds will you spend on a 420 kilometer trip? (1 mile = 1.609 kilometers, 1 Pound = $1.65.)

2.

If the annual number of book-sales decreased from 157,091 in 1980 to 91,305 in 2008, what are the absolute & relative change?

3.

Remember: Absolute Change = New Value - Old Value

Relative Change = Absolute Change

Old Value

Remember:

4. You deposit $5000 in a bank account that pays an APR of 3% and compounds interest monthly. How much money will you have after 35 years?

Practice for the Final

Review for 1030 Final Page 1

The tank below, with the given dimensions is a scale model for a cylinder. The model will be scaled up so that the new cylinder will have a radius of 21 cm. Find the surface area and the volume of the new cylinder? (Please include units.)

5.

radius = 3 cmsurface area = 235.619 cm²volume = 268.606 cm³

If this model is scaled down so that the new radius is 1 cm, what are the surface area and the volume of the new tank.

Hydrocodone is eliminated from your blood-stream at a rate of 10% per hour. At 9 am you take 300 mg. How much of hydrocodone will be in your blood-stream at 5 pm? (Remember: Q= Qo (1+r) )

6.

What is the approximate half-life of hydrocodone? (Remember: Approximate half-life formula)

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The water in a spherical reservoir (diameter = 16 yd) is evaporating at a rate of 7.5 cubic feet per week. Assuming the reservoir is full, create a linear equation that will represent this situation. When will it evaporate completely?

7.

Remember: The algebraic equation of a line is: y = b + mxwhere b is the initial value or y-intercept and m is the slope.

the volume of a sphere: 4/3πr³

A savings account pays an annual percentage rate (APR) of 4.1% compounded quarterly/daily.8.

a) Find the annual percentage yield (APY) on this account.

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What will your monthly payment be for a:9.

$200,000, 30-year loan with an APR = 6.5% compounded monthly?

$200,000, 20-year loan with an APR = 5.5% compounded monthly?

How much would you pay in interest for both loans?

b) You would like to have $1 million when you retire in 36 years and you would like to make regular quarterly/daily deposits to this account (which pays an APR of 4.1%, compounded quarterly/daily). How much should your quarterly/daily deposits be in order to accomplish your goal?

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A population of some town is growing at a rate of 12.5% per year. Find the approximate doubling time.

11.

The following data represents measurements of the concentration of ibuprofen in a10.patient’s bloodstream.

Hours after

administration

3 5 7 11

Concentration in ppm 2.74 2.3 1.86 0.98

Write a linear equation that describes this situation.

How long will it take until ibuprofen is completely gone from your body?

Review for 1030 Final Page 5

Determine the factor by which the population increases in 3 years.

When will the population triple?

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Of the 50 international students, 30 can speak Spanish, 20 can speak French, and 15 can speak Dutch. There are 15 students that can speak Spanish only, and there are 3 that can speak Spanish & Dutch only. 7 students can speak French & Spanish only, and 5 can speak French & Dutch only.

12.

How many students can speak all three languages, and how many cannot speak any of the three languages?

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