Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate of 7% per year. (a) Write a first-order linear differential equation that models your retirement savings. (b) find the total amount saved after 10 years. (c) assume that instead of contributing $7,000 per year, you were able to increase your contribution by $50 each year ($7,000 first year, $7,050 second year, etc.). How much money would you have saved after 10 years?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate of 7% per year. (a) Write a first-order linear differential equation that models your retirement savings. (b) find the total amount saved after 10 years. (c) assume that instead of contributing $7,000 per year, you were able to increase your contribution by $50 each year ($7,000 first year, $7,050 second year, etc.). How much money would you have saved after 10 years?

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