A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 8 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 8 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?  Pick:
A) 443 B) 450 C) 465 D) 468 E) 475
Total number of installments = 52   Payment per installment for the first 8 installments = 410   Payment per installment for the remaining 32 installments = 410+65= 
<gadget id="calculator">410+65</gadget>
<output>475</output>
475   Average= (8*410 + 44*475)/52= 
<gadget id="calculator">(8*410 + 44*475)/52</gadget>
<output>465</output>
465   Answer 465
<result>C</result>
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 8 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 8 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?