Is $P = 250 + C e ^ { 0.2 t }$

question 59

True/False

Is $P = 250 + C e ^ { 0.2 t }$ a solution to the differential equation $\frac { d P } { d t } + 0.2 P = 50$ (for some constant C)?

---

Definitions:

Amount Due

The total sum of money owed to a creditor by a debtor at a specific date.

Credit Card Expense

The fees and interest costs associated with the use of credit cards by individuals or businesses.

Credit Sales

Sales transactions where the payment is deferred, allowing the buyer to purchase goods or services on account.

Bank Credit Cards

Financial instruments issued by banks that allow cardholders to purchase goods and services on credit, up to an approved credit limit.