A person initially places $1,000 in a savings account that

Chapter , Problem 29

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A person initially places $1,000 in a savings account that pays interest at the rate of 1.1% per year compounded continuously. Suppose the person arranges for $20 per week to be deposited automatically into the savings account. (a) Write a differential equation for P(t), the amount on deposit after t years (assume that weekly deposits is close enough to continuous deposits so that we may model the balance with a differential equation.) (b) Find the amount on deposit after 5 years.

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