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lowemadison047
13.02.2020 •
Mathematics
Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate and have the same closing cost
You need a $160,000 loan
Option fa 30 year loan at an APR of 8%
Option 2 a 15-year loan at an APR of 7.5%
Find the monthly payment for each dion.
The monthly payment for option 1 is
The monthly payment for option 2 is
(Do not round unt the final answer. Then round to the nearest cent as needed.)
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Ответ:
A. The decrease in Car 1 value is constant at 6000 from year to year. Its value can be described by a linear function.
The decrease in Car 2 value is a constant percentage of its current value from year to year. Its value can be described by an exponential function.
B. The slope of the Car 1 function is -6000, and the value is 32000 in year 1, so the value function for Car 1 can be written as
... f(x) = 32000 -6000(x-1)
... f(x) = 38000 -6000x
The value multiplier for Car 2 from year to year is 27455/32300 = 0.85, so the value function for Car 2 can be written as
... f(x) = 32,300·0.85^(x-1)
... f(x) = 38000·0.85^x
C. There is a significant difference in value after 5 years. Car 2 is worth more than double the value of Car 1 in year 5. That year, their values are ...
... car 1: $8000
... car 2: $16861