Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 6% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

From the information given,

P = $6000

r = 6% = 6/100 = 0.06

t = 15 years

Therefore,

A = 6000 x e(0.06 x 15)

A = 6000 x e(0.9)

A = $14757.6 to the nearest cent