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kirill115 [55]
4 years ago
7

In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y.

Mathematics
1 answer:
ehidna [41]4 years ago
8 0

Value of x: 2.5

Value of y: -0.5

-------------------------

To find x:

x + 1 = 3x - 4

-x         -x

1 = 2x - 4

+4      +4

5 = 2x

--    ---

2     2

2.5 = x

Check:

2.5 + 1 = 3(2.5) - 4

3.5 = 7.5 - 4

3.5 = 3.5

To find y:

3y = 5y + 1

-5y   -5y

-2y = 1

---      ----

-2       -2

y = -0.5

Check:

3(-0.5) = 5(-0.5) + 1

-1.5 = -2.5 + 1

-1.5 = -1.5

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You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
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Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

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= Number of periods x Payment per period

= 30 years x 12 months per year x 950

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The interest is:

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Find out more on interest payments on loans at brainly.com/question/13005100

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