How long it will take to pay off a given loan


Steve wishes to purchase the house. Suppose interest rate beig offered is a 6% annual rate. Presently, Steve can pay $800 per month but plans to add $10 per month to payments. Suppose that interest is compounded continuously and that payments are increased continuously.

i) How long it will take Steve to pay off a $150,000 loan?

ii) How large the loan can Steve pay off in thirty years?

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Mathematics: How long it will take to pay off a given loan
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