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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' = 0.04y -12,000. (a)Suppose that after one year the balance is $250,000. 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 v at a rate of $ per year. (b) y' =O (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 oft years and is always decreasing. O B. The rate of change OC. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. OD. The differential equation gives the account balance at any time, t. the savings account balance proportional to the difference between the balance at the end of t years and $300,000.

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' = 0.04y -12,000. (a)Suppose that after one year the balance is $250,000. 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 v at a rate of $ per year. (b) y' =O (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 oft years and is always decreasing. O B. The rate of change OC. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. OD. The differential equation gives the account balance at any time, t. the savings account balance proportional to the difference between the balance at the end of t years and $300,000.

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' = 0.04y – 12,000. (a)Suppose that after one year the balance is $250,000. 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. %3D ... (a) The balance is at a rate of $ per year. (b) y' = (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 decreasing. B. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $300,000. C. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. 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' = 0.04y – 12,000. (a)Suppose that after one year the balance is $250,000. 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. %3D ... (a) The balance is at a rate of $ per year. (b) y' = (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 decreasing. B. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $300,000. C. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. D. The differential equation gives the account balance at any time, t.
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