Let f(t) be the balance in a savings account at the end of t years, and suppose that y = f(t) satisfies the differential equation: y = 0.07y - 10,000 1. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is $100000. The account balance is increasing or decreasing at a rate of 2. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is $150000. ● dollars per year. The account balance is increasing or decreasing at a rate of dollars per year.
Let f(t) be the balance in a savings account at the end of t years, and suppose that y = f(t) satisfies the differential equation: y = 0.07y - 10,000 1. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is $100000. The account balance is increasing or decreasing at a rate of 2. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is $150000. ● dollars per year. The account balance is increasing or decreasing at a rate of dollars per year.
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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Transcribed Image Text:Let f(t) be the balance in a savings account at the end of ₺ years, and suppose that y = f(t) satisfies the
differential equation:
y = 0.07y 10, 000
1. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is
$100000.
• The account balance is increasing or decreasing at a rate of
2. Determine the rate at which the balance is increasing or decreasing, if after 1 year the balance is
$150000.
dollars per year.
• The account balance is increasing or decreasing at a rate of
dollars per year.
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