calc help-?

Question

Suppose that an amount P_o(little case o) is invested in a savings account in which the interest is compounded continuously. The balance P(t) grows at the rate given by dP/dt=0.07P, where t is in years.

a. Write the function that models this situation. (Use function notation.)

b. How long will it take to have 150% of your original investment in the account? Round to the nearest year if necessary.
c. What is the doubling time for the account? Round to the nearest year if necessary.

lost on equation, any suggestions, help

Answer 1

a. P(t) = (P_o)*e^(0.07t).

b. Solve (P_o)*e^(0.07t) = 1.50*P_o for t.

c. Replace 1.50 by 2.0 in b.