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irina [24]
3 years ago
3

Jacqueline is deciding between two mortgages for her new home. The first mortgage is an 80/20 mortgage with interest rates of 4.

75 and 7.525%, respectively. The second mortgage is a 30-year mortgage with a 5.25% and a $58.30 monthly PMI. If the house price is $145,000, which mortgage payment will be lower initially, and by how much?
Mathematics
2 answers:
Vikki [24]3 years ago
8 0

Answer:80/20 mortgage by $37.25

Step-by-step explanation:

Ann [662]3 years ago
4 0
For the answer to the question above,<span>
</span><span>For the first mortgage
.8 * 145000 = 116000

PMT = 116000(.0475/12) / [1 - (1 + .0475/12)^(-12 * 30)]
PMT = 605.11091034360862021232175319303
</span><span>Let's round off the PMT
</span><span>PMT = $605.11
the 2nd Mortgage
.2 * 145000 = 29000

2nd mortgages are usually interest only payments
I = 29000(.07525/12)
I = 181.85416666666666666666666666667
$181.85

605.11 + 181.85 = <u><em>786.96 </em></u>
..........................................
for the second option

PMT = 145000(.0525/12) / [1 - (1 + .0525/12)^(-12 * 30)]
PMT = 800.69536810575262261015659677087
PMT = 800.70

800.7 + 58.3 =<u><em> 859.00</em></u></span>

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13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an eq
11Alexandr11 [23.1K]

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

<em>Expand:</em>

45= W² +4W

<em>-45 on both sides:</em>

W² +4W -45= 0

<em>Factorise:</em>

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

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L= 9

∴ The dimensions of the garden is 9m ×5m.

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