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5. Consider a savings account with an interest rate of a = 0.1 and an initial investment of y(0) = $100. At t = 5, a one-time deposit of $50 is made. Set up and solve an initial value problem for the dollar value y(t) of the account. Sketch the graph of the solution.

5. Consider a savings account with an interest rate of a = 0.1 and an initial investment of y(0) = $100. At t = 5, a one-time deposit of $50 is made. Set up and solve an initial value problem for the dollar value y(t) of the account. Sketch the graph of the solution.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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dt 5. Consider a savings account with an interest rate of a = 0.1 and an initial investment of y (0) $100. At t = 5, a one-time deposit of $50 is made. Set up and solve an initial value problem for the dollar value y(t) of the account. Sketch the graph of the solution. 6. With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t = 5. Set up an initial value problem and find the general solution u(t) (leaving the initial deposit u(0) as a free parameter). Does this
Transcribed Image Text:dt 5. Consider a savings account with an interest rate of a = 0.1 and an initial investment of y (0) $100. At t = 5, a one-time deposit of $50 is made. Set up and solve an initial value problem for the dollar value y(t) of the account. Sketch the graph of the solution. 6. With the same interest rate of a = 0.1, assume that a constant withdrawal rate of $10 per unit of time is made, starting at t = 5. Set up an initial value problem and find the general solution u(t) (leaving the initial deposit u(0) as a free parameter). Does this
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