A university wants to establish a fund to support meal plans for students. The fund will be used to distribute $10k in yearly fellowships, and will operate by an investment-fund model: after an initial donation, the only income will be the interest on the amount of money in the fund. The school decided to model the amount of money in the fund at a given time t, A(t), by a differential equation dA = 0.02A – s, dt where s = $10k/year is the scholarship amount they want to distribute per year and 0.02 is the estimated interest rate. 1. Find all solutions to the differential equation.
A university wants to establish a fund to support meal plans for students. The fund will be used to distribute $10k in yearly fellowships, and will operate by an investment-fund model: after an initial donation, the only income will be the interest on the amount of money in the fund. The school decided to model the amount of money in the fund at a given time t, A(t), by a differential equation dA = 0.02A – s, dt where s = $10k/year is the scholarship amount they want to distribute per year and 0.02 is the estimated interest rate. 1. Find all solutions to the differential equation.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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