suppose-a-car-loan-is-described-by-the-differential-equation-ct005c400cprimet005

Question

Suppose a car loan is described by the differential equation C′(t)=0.05C−$$400C^{\prime}(t)=0.05C-400$$, where C(t) C(t)  is the unpaid balance and C(0) C(0)  is the initial loan amount. What is the largest amount you can borrow without the balance increasing each month?

Accepted Answer

8,0008,000

Answer

20,00020,000

Answer

16,00016,000

Answer

12,00012,000

Suppose a car loan is described by the differential equation C′(t)=0.05C−400C^{\(\prime\)}(t)=0.05C-400, where C(t) C(t) is the unpaid balance and C(0) C(0) is the initial loan amount. What is the largest amount you can borrow without the balance increasing each month?

Suppose a car loan is described by the differential equation $C^{'} (t) = 0.05 C - 400$ , where $C (t)$ is the unpaid balance and $C of 0$ is the initial loan amount. What is the largest amount you can borrow without the balance increasing each month?