Problema Solution

Suppose a bank compounds interest continuously. If you invest $500 at 4% at that bank for 5 years, what will your balance be?

Answer provided by our tutors

let


P = $500 the principle


r = 4% or 0.04


t = 5 years


A = the future value


A = Pe^(r*t)


A = 500*e^(0.04*5)


e = 2.72


A = 500*2.72^(0.04*5)


A = $610.78


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after 5 years the balance will be $610.78.