ALG 462 Quiz Compounding with Exponential Functions

4

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.

Write an exponential growth model to represent this situation using f(t).

3

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.

Estimate the number of cell phone subscribers in 2014.

4

You buy a new computer and accessories for $1200. The value of the computer decreases by 30% each year. Write an exponential model giving the computer's value (V) after t years.

3

You buy a new computer and accessories for $1200. The value of the computer decreases by 30% each year. Use your previous answer to find the value of the computer after 4 years.

4

You deposit $9,500 in a account for 6 years. How much money is in the account if the interest rate is 3.5% and the account compounds quarterly?

5

You deposit $9,500 in a account for 6 years. The rate of interest is 3.5% and the account compounds daily. How much more money is in this account as compared to compounding quarterly (use your previous answer)?

4

You want to have $10,000 in your account after 5 years. The account pays 2.75% annual interest compounded monthly. Find the initial deposit.

2

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What was the population in 1990?

2

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What is the growth factor?

2

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What is the percent increase?

3

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. Estimate the population in 2005.

4

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you withdraw the money. How much money did you withdraw if the interest was compounded quarterly?

4

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you withdraw the money. How much money did you withdraw if the interest was compounded continuously?

4

You want $8,500 for a down payment on your new car. An account pays 4.75% interest compounded continuously. How much money do you need to open the account now, so in 7 years you reach your goal.

2

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.Write an exponential growth model to represent this situation using f(t).

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.Estimate the number of cell phone subscribers in 2014.

You buy a new computer and accessories for $1200. The value of the computer decreases by 30% each year. Write an exponential model giving the computer's value (V) after t years.

You buy a new computer and accessories for $1200. The value of the computer decreases by 30% each year. Use your previous answer to find the value of the computer after 4 years.

You deposit $9,500 in a account for 6 years. How much money is in the account if the interest rate is 3.5% and the account compounds quarterly?

You deposit $9,500 in a account for 6 years. The rate of interest is 3.5% and the account compounds daily. How much more money is in this account as compared to compounding quarterly (use your previous answer)?

You want to have $10,000 in your account after 5 years. The account pays 2.75% annual interest compounded monthly. Find the initial deposit.

From 1990 to 2000 the population of Connecticut can be modeled by where t is the number of years since 1990. What was the population in 1990?

From 1990 to 2000 the population of Connecticut can be modeled by where t is the number of years since 1990. What is the growth factor?

From 1990 to 2000 the population of Connecticut can be modeled by where t is the number of years since 1990. What is the percent increase?

From 1990 to 2000 the population of Connecticut can be modeled by where t is the number of years since 1990. Estimate the population in 2005.

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you withdraw the money. How much money did you withdraw if the interest was compounded quarterly?

You deposit $2200 in an account that pays 3% annual interest. After 15 years, you withdraw the money. How much money did you withdraw if the interest was compounded continuously?

You want $8,500 for a down payment on your new car. An account pays 4.75% interest compounded continuously. How much money do you need to open the account now, so in 7 years you reach your goal.

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.

Write an exponential growth model to represent this situation using f(t).

In 2006, there were approximately 233,468 cell phone subscribers in the US. During the next 9 years, the number of cell phone subscribers increased by about 6.25% each year.

Estimate the number of cell phone subscribers in 2014.

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What was the population in 1990?

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What is the growth factor?

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. What is the percent increase?

From 1990 to 2000 the population of Connecticut can be modeled by

where t is the number of years since 1990. Estimate the population in 2005.