If 2000 is invested at 8 compounded continuously find an, Mathematics

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If 2000 is invested at 8 compounded continuously find an

Question: Compound interest In Problem use the following information. 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

(a) If $2000 is invested at 8%, compounded continuously, find an equation for the future value of the investment as a function of time t, in years.

(b) How long will it take for the investment to double?

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