Elin purchased a used car for ​$. She wrote a check for ​$ as a down payment for the car and financed the ​$ balance. The annual percentage rate​ (APR) is ​% compounded​ monthly, and the loan is to be repaid in equal monthly installments over the next years. Which of the following is most near to​ Elin's monthly car​ payment? a. $167.
b. $172.
c. $188.
d. $200.
e. $218.

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?