Homework SourseMoney is transferred into an account at the rate of Rt1000te
Money is transferred into an account at the rate of R(t)=1000te^(-.8t) dollars per year for 4 years. If the account pays 8% interest compounded continuously, how much will accumulate in the account over a 4-year period?
Solution
A=P(1+R/100n)^nt p is varying at the rate of P= R(t)=1000te^(-0.8t) n=t here since interest is compounded continuously At a time t for a small period dt such that principle and rate doesnt vary for that small interval we have dA=1000te^(-0.8t)(1+.08/t)^t *dt integrating this expression from t= 0 to 4 we get the amount
