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Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.03y - 7500. (a)Suppose that after one year the balance is $220,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y'=k(y-M). (c) Describe the differential equation in words. C... (a) The balance is decreasing at a rate of $900 per year. (b) y'= .03(y-250000) (c) Choose the correct answer below. O A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. O B. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. OC. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. O D. The differential equation gives the account balance at any time, t.

Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.03y - 7500. (a)Suppose that after one year the balance is $220,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y'=k(y-M). (c) Describe the differential equation in words. C... (a) The balance is decreasing at a rate of $900 per year. (b) y'= .03(y-250000) (c) Choose the correct answer below. O A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. O B. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. OC. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. O D. The differential equation gives the account balance at any time, t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.03y - 7500. (a)Suppose that after one year the balance is $220,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y'=k(y - M). (c) Describe the differential equation in words. (a) The balance is decreasing at a rate of $ -900 per year. (b) y'= .03(y-250000) (c) Choose the correct answer below. A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. B. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. C. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. D. The differential equation gives the account balance at any time, t.
Transcribed Image Text:Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.03y - 7500. (a)Suppose that after one year the balance is $220,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y'=k(y - M). (c) Describe the differential equation in words. (a) The balance is decreasing at a rate of $ -900 per year. (b) y'= .03(y-250000) (c) Choose the correct answer below. A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. B. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. C. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. D. The differential equation gives the account balance at any time, t.
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