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Alg462 Review Applications, Compound/Continuous Interest

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Last updated almost 5 years ago
11 questions
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Question 1
1.

From 1990 to 2000, the population of California can be modeled by
where t is the number of years since 1990.

What was the population in 1990?

Question 2
2.

From 1990 to 2000, the population of California can be modeled by
where t is the number of years since 1990.

What is the annual percent increase?

Question 3
3.

From 1990 to 2000, the population of California can be modeled by
where t is the number of years since 1990.

Estimate the population in 2007. Round your answer to the nearest person.

Show all of your work in the "show your work" box.

Question 4
4.

You buy a new car for $22,500. The value of the car decreases by 25% each year. Write an exponential decay model giving the car's value V (in dollars) after t years.

Question 5
5.

Use the model you wrote in #4 to determine the value of the car after three years.

Question 6
6.

Use the model you wrote in #4 to determine approximately how many years it will be when the car is worth $5300?
Show your work in the "show your work" box below.

Question 7
7.

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you with draw the money. What is the balance if the interest is compounded quarterly?

Question 8
8.

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you with draw the money. What is the balance if the interest is compounded continuously?

Question 9
9.

You deposit $6000 in an account that pays 4.75% annual interest. Find the balance after 7 years if the interest is compounded with the given frequencies in the table in the "show your work" box.

Be sure to show your work for each frequency.

Question 10
10.

Question 11
11.


Show your work in the "show your work" box.