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goldenfox [79]
3 years ago
5

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

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3 years ago
You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a
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a) The amount of the down payment is:

= $34,000

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= $170,000.

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a) Data and Calculations:

Market value of mortgage house = $170,000

Required down payment = 1/5 or 20%

a) The amount of the down payment = $34,000 ($170,000 * 20%)

b) The amount of the mortgage for which the Bradys are applying is = $170,000.

c) Interest on the loan = $5.37 for every $1,000

The amount of the principal of $136,000 ($170,000 - $34,000) and interest portion of the monthly payment by the Brady's = $730.32 ($5.37 * $136,000/$1,000)

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20 ($262,915.20 - $136,000)

Sum of all periodic payments = $262,915.20 = ($730.32 * 12 * 30)

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Monthly additional costs = $264 ($3,168/12)

Total monthly payment = $994.32 ($730.32 + $264)

f) Bradys' combined monthly income = $3,750

Qualification threshold = $937.50 ($3,750/4)

No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

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