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
Can you prove this integral equation?Note: It also has an application to prove that 22/7 > π.
2. An experiment is set up to test the effectiveness of a new drug for balancing
people's mood. The table below contains the results of the patients before and
after taking the drug. The possible scores are the integers from 0 to 10, where
0 indicates a depressed mood and 10 indicates and elated mood.
Patient Before
After
1
4
4
2
3
3
3
6
4
4
1
2
5
6
5
6
1
3
7
4
7
8
6
9
1
4
10
5
4
Assuming the differences of the observations to be symmetric, but not normally
distributed, investigate the effectiveness of the drug at the 5% significance level.
[4 Marks]
1.
The number of claims is modelled by a NB2(n, p) (the number of fail-
ures before the nth success with probability p of success). The sample x =
(x1, x2,,XN) with N = 100 returns
N
N
xj =
754,
Σε = 70425.
j=1
Estimate the parameters n and p using the point estimates.
[5 Marks]
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