MortgageA couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank’s interest rate is 7.5%. The amount they can borrow, A, is a function of the time t, in years, it will take to repay the debt. If we denote this function by A = ƒ(t), then the following table defines the function.tAtA540,00020103,0001069,00025113,0001589,00030120,000(a) Find ƒ (20) and write a sentence that explains its meaning.(b) Does ƒ(5 + 5) = ƒ(5) + ƒ(5) ? Explain.(c) If the couple is looking at a house that requires them to finance $89,000, how long must they make payments? Write this correspondence in the form A = ƒ(t)
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