Continuously Compounded Interest

The formula below can be used to determine the total amount of money in a savings account. What is the interest rate as a percent?

$$A=3250e^{0.062\cdot8}$$  

(a)  

The formula below can be used to determine the total amount of money in a savings account. What was the initial amount of money deposited in the account?

$$A=3250e^{0.062\cdot8}$$  

(a)  

The formula below can be used to determine the total amount of money in a savings account. How long was the money left in the account?

$$A=3250e^{0.062\cdot8}$$  

(a)  

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

(a)  

Twelve years ago, your grandma put money into a savings account for you that earns 7.5% interest annually and is continuously compounded. How much money is currently in your account if she initially deposited $10,000 and you have not taken any money out?

Find the initial value of an investment if the future value is $9519.87 after 5 years at a rate of 8.79% compounded continuously.