A couple wishes to borrow money using the equity in their home for collateral. A loan company will loan the couple up to 70 % of their equity. The couple purchased the home 12 years ago for $179,000 . The home was financed by paying 20 % down and signing a 30-year mortgage at 8.4 % on the unpaid balance. Equal monthly payments were made to amortize the loan over the 30-year period. The net market value of the house is now $215,000 . After making the 144 th payment, the couple applied to the loan company for the maximum loan. How much (to the nearest dollar) will the couple receive
A couple wishes to borrow money using the equity in their home for collateral. A loan company will loan the couple up to 70 % of their equity. The couple purchased the home 12 years ago for $179,000 . The home was financed by paying 20 % down and signing a 30-year mortgage at 8.4 % on the unpaid balance. Equal monthly payments were made to amortize the loan over the 30-year period. The net market value of the house is now $215,000 . After making the 144 th payment, the couple applied to the loan company for the maximum loan. How much (to the nearest dollar) will the couple receive
Solution Summary: The author calculates the amount of cash received by the couple, who wish to borrow an amount and a loan company loans up to 70% of the equity.
A couple wishes to borrow money using the equity in their home for collateral. A loan company will loan the couple up to
70
%
of their equity. The couple purchased the home
12
years ago for
$179,000
. The home was financed by paying
20
%
down and signing a 30-year mortgage at
8.4
%
on the unpaid balance. Equal monthly payments were made to amortize the loan over the 30-year period. The net market value of the house is now
$215,000
. After making the
144
th
payment, the couple applied to the loan company for the maximum loan. How much (to the nearest dollar) will the couple receive
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively.
a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]?
[Note: It is not generally true that E(c/Y) = c/E(Y).]
74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O
.40 .11 .04 .45
Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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