 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that find the compound interest on $45,000 for three years if rates are 5%, 8% and 10% respectively. If rate of interest is different for every year say R1, R2 and R3 for first, second and third year respectively then amount A is equal to P into 1 plus R1 upon 100 into 1 plus R2 upon 100 into 1 plus R3 upon 100. With this key idea let us proceed with the solution. According to the question we need to find the compound interest on $45,000 for three years if rates are 5%, 8% and 10% respectively. So the given principle P is equal to $45,000. Time is equal to three years. The rates of interest are R1 equal to 5% per annum for the first year, 2 equal to 8% per annum for the second year or 3 equal to 10% per annum for the third year. As we know amount A is equal to P into 1 plus R1 upon 100 into 1 plus R2 upon 100 into 1 plus R3 upon 100. So here amount A is equal to 45,000 into 1 plus 5 upon 100 into 1 plus 8 upon 100 into 1 plus 10 upon 100. This is equal to 45,000 into 100 plus 5 upon 100 into 100 plus 8 upon 100 into 100 plus 10 upon 100 dollars which is equal to 45,000 into 105 upon 100 into 108 upon 100 into 110 upon 100 dollars. So here first we cancel the zeros 5 into 2 is 10, 5 into 9 is 45. 5 into 2 is 10, 5 into 21 is 105, 2 into 54 is 108 and 2 into 27 is 54. So this is equal to 9 into 21 into 27 into 11 dollars which is equal to 56,133 dollars. As we know compound interest is equal to amount minus original principle therefore here compound interest is equal to 56,133 minus 45,000 which is equal to 11,133 dollars. So compound interest is equal to 11,133 dollars which is R answer. This completes our session. Hope you enjoyed this session.