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Please post a tentative solution to the problem below following the mortgage formula and using exponential equations and logarithms (as appropriate) to solve for

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Please post a tentative solution to the problem below following the mortgage formula and using exponential equations and logarithms (as appropriate) to solve for time. Mortgage Formula: 1- (1+)- nt = M n Pn where P=monthly payment r = annual rate n = number of payments per year (typically 12) t = # years of mortgage Suppose you wanted to take out a mortgage for $100,000 with monthly payments at 9%, but you can only afford $800 monthly payments. How long will you have to make payments to pay off the mortgage? How much interest would you pay for this period (hint: subtract the total amount paid over the time of the mortgage and the original mortgage amount)?

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