Question: (a) If $10,000 is invested at 6%, compounded continuously, find an equation for the future value of the investment as a function of time t

(a) If $10,000 is invested at 6%, compounded continuously, find an equation for the future value of the investment as a function of time t in years.
(b) What is the future value of the investment after 1 year? After 5 years?
(c) How long will it take for the investment to double?
When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal); that is, dx/dt = rx

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