Alg462 Review Applications, Compound/Continuous Interest

Last updated over 4 years ago
11 questions
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?

1

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?

1

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.

1

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.

1

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

1

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.

1

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?

1

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?

1

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.

1

1


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