Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?  Choose one.
A) 333  B) 383  C) 402  D) 433  E) 483
Let the monthly payment be xx.   After the 1st month there will be 1,000∗1.1−x dollars left to repay;   After the 2nd month there will be (1,000∗1.1−x)∗1.1−x=1,210−2.1 x dollars left to repay;   After the 3rd month there should be 0 dollars left to repay: (1,210−2.1x)∗1.1−x=0--&gt; 1331=3.31x--&gt; x≈402x≈402   Answer: 402.
<result>C</result>
Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?