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Peter put $8,000 into a savings account that pays 6% interest, compounded continuously. After five years, Peter will have $ 8,001.35 10,798.53 21,744.00 160,634.32 in the account.

Hint: Use the formula A = Pert, where A is the amount after t years, P is the amount invested, r is the rate of interest, t is the time period, and e = 2.718. Use a calculator to compute your answer

Respuesta :

W0lf93
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer: B. $10,798.53.