a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year. each of the first 22 payments is to be $ 410; each of the remaining payments is to be $ 65 more than each of the first 22 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?  Select the correct option:
A) 447.5	B) 450	C) 465	D) 468	E) 475
<gadget id="calculator">22 * 410</gadget>
<output>9_020</output>

<gadget id="calculator">410 + 65</gadget>
<output>475</output>

<gadget id="calculator">52 - 22</gadget>
<output>30</output>

<gadget id="calculator">475 * 30</gadget>
<output>14_250</output>

<gadget id="calculator">9_020 + 14_250</gadget>
<output>23_270</output>

<gadget id="calculator">23_270 / 52</gadget>
<output>895/2 = around 447.5</output>

<result>A</result>
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year. each of the first 22 payments is to be $ 410; each of the remaining payments is to be $ 65 more than each of the first 22 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?
divide(add(multiply(22, 410), multiply(add(410, 65), subtract(52, 22))), 52)
total number of installments = 52 payment per installment for the first 22 installments = 410 payment per installment for the remaining 30 installments = 410 + 65 = 475 average = ( 22 * 410 + 30 * 475 ) / 52 = 447.50 answer a