# calculus

If \$3500 is invested at an interest rate of 5.25% per year, compounded continuously, find the value of the investment after the given number of years.
a. 4 years b. 8 years c. 12 years

1. 👍
2. 👎
3. 👁
1. I'll do b), you do the others

amount = 3500 e^(8(.0525))
= 3500 e^.42
= 5326.87 , of course I needed a calculator.

1. 👍
2. 👎

## Similar Questions

1. ### math

how much should be invested now at an interest rate of 6.5% per year, compounded continuously, to have \$3000 in 4 years? do not round any intermediate computations and round answer to nearest cent.

If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year. A) Find the amount in the bank after 6 years if interest is compounded annually? B) Find the amount in the bank after 6 years if interest is

3. ### algebra 2

you deposit \$3500 in an account that earns 2.5% annual interest. Find the balance after one year if the interest is compounded with the given frequency.

4. ### algebra 2

The amount of money in an account with continuously compounded interest is given by the formula A=Pe^rt , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a

1. ### Calculus

Your rich uncle bequests to you a continuous, constant income stream of \$1000 per year for the next 10 years. The terms of the bequest require that this income stream be paid continuously into a specific savings account that will

2. ### Math

Suppose that \$2500 is invested at an interest rate of 2.5% per year, compounded continuously. After how many years will the initial investment be doubled?

3. ### Math

If 3000 dollars is invested in a bank account at an interest rate of 6 per cent per year, find the amount in the bank after 12 years if interest is compounded annually Find the amount in the bank after 12 years if interest is

4. ### math

find the accumulated value of an investment of \$10000 for 5 years at an interest rate of 5.5% if the money is a. compounded semiannually; b. compounded monthly; c. compounded continuously.

1. ### Algebra

Fiona invested \$1000 at 8% compounded continuously. At the same time Maria invested \$1100 at 8% compounded daily. How long will it take for their investments to be equal in value? Assume there are 365 days in every year. Please

2. ### algebra

Suppose that \$4000 is invested at an interest rate of 5.5% per year, compounded continuously. What is the balance after 8 years?

3. ### math

If 3000 dollars is invested in a bank account at an interest rate of 9 per cent per year, find the amount in the bank after 5 years if interest is compounded annually

4. ### Algebra ASAP

Suppose that \$17,000 is invested in a savings account paying 5.1% interest per year. (a) Write the formula for the amount A in the account after t years if interest is compounded monthly. A(t) = (b) Find the amount in the account