Consider a loan repayment plan described by the following initial value problem, where the amount borrowed is B(0) = $30,000, the monthly payments are $200, and B(t) is the unpaid balance of the loan. Use the initial value problem to answer parts a through c. B'() = 0.028- 200, B(0) = 30,000 a) Find the solution of the initial value problem and explain why B is an increasing solution. 0.021 B(t)= 20,000 e° + 10,000

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Can someone please explain it to me ASAP???!!!! Special First-order Linear Differential Equations
Consider a loan repayment plan described by the following initial value problem, where the amount borrowed is B(0) = $30,000, the monthly payments are $200, and
B) is the unpaid balance of the loan. Use the initial value problem to answer parts a through c.
B'(t) = 0,02B – 200, B(0) = 30,000
...
a) Find the solution of the initial value problem and explain why B is an increasing solution.
B(t) = 20,000 e 0.021 + 10,000
Why is B an increasing function?
O A. The function is increasing because it is an exponential function with a positive exponent.
O B. The function is increasing because it is an exponential function with a positive coefficient and a negative exponent.
C. The function is increasing because it is an exponential function with a positive coefficient and a positive exponent.
O D. The function is increasing because it is an exponential function with a positive coefficient.
b) What is the most that you can borrow under the terms of this loan without going further into debt each month?
The most you could borrow is S
(1/1)
(1/1)
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Transcribed Image Text:Consider a loan repayment plan described by the following initial value problem, where the amount borrowed is B(0) = $30,000, the monthly payments are $200, and B) is the unpaid balance of the loan. Use the initial value problem to answer parts a through c. B'(t) = 0,02B – 200, B(0) = 30,000 ... a) Find the solution of the initial value problem and explain why B is an increasing solution. B(t) = 20,000 e 0.021 + 10,000 Why is B an increasing function? O A. The function is increasing because it is an exponential function with a positive exponent. O B. The function is increasing because it is an exponential function with a positive coefficient and a negative exponent. C. The function is increasing because it is an exponential function with a positive coefficient and a positive exponent. O D. The function is increasing because it is an exponential function with a positive coefficient. b) What is the most that you can borrow under the terms of this loan without going further into debt each month? The most you could borrow is S (1/1) (1/1) Help me solve this View an example Get more help - Clear all Check answer DELL Esc F3 F4 F5 F6 F7 F9 Priscr F10 F11 F12 *: # $ & 1 2 3 4 6 8. Tab W E R Y P Caps Lock A D G J K Shift C V B N M Fn Alt Alt piron 24 5000 2--1 מא N
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