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asambeis [7]
3 years ago
6

A bank charges 1.75 of a point for the origination fee on a mortgage of $400,000. What is the origination fee?

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

The origination fee on a mortgage of $400,000 is $7,000.

Step-by-step explanation:

Here, the mortgage value =  $400,000

The origination fee = 1.75%

Now, the  origination fee is calculated on the amount mortgaged.

⇒ 1.75 % of ($400,00) =  Origination Fee

Now, 1.75 % of ($400,00) = \frac{1.75}{100}  \times 400,000 = 7,000

or, 1.75 % of ($400,00)  = $ 7,000

Hence, the origination fee on a mortgage of $400,000 is $7,000.

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A.)List the 4 steps outlined in the lesson on solving equations.
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5 x - 3 x = 2 x:
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3 x - 3 x = 0:
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Subtract 7 from both sides:
2 x + (7 - 7) = 21 - 7

7 - 7 = 0:
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21 - 7 = 14:
2 x = 14

Divide both sides of 2 x = 14 by 2:
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2/2 = 1:
x = 14/2

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Answer:  x = 7

____________________________________________________________

2.)  Solve for x:
3 x - 2 (5 - x) = 3 x - 3 (x - 10)

-2 (5 - x) = 2 x - 10:
2 x - 10 + 3 x = 3 x - 3 (x - 10)

Grouping like terms, 3 x + 2 x - 10 = (3 x + 2 x) - 10:
(3 x + 2 x) - 10 = 3 x - 3 (x - 10)

3 x + 2 x = 5 x:
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-3 (x - 10) = 30 - 3 x:
5 x - 10 = 30 - 3 x + 3 x

3 x - 3 x = 0:
5 x - 10 = 30

Add 10 to both sides:
5 x + (10 - 10) = 10 + 30

10 - 10 = 0:
5 x = 30 + 10

30 + 10 = 40:
5 x = 40

Divide both sides of 5 x = 40 by 5:
(5 x)/5 = 40/5

5/5 = 1:
x = 40/5

The gcd of 40 and 5 is 5, so 40/5 = (5×8)/(5×1) = 5/5×8 = 8:

<span>Answer: x = 8

_________________________________________________________

3.) Solve for x:</span>
5 (x + 1) = 3 (2 x + 3) + 5

3 (2 x + 3) = 6 x + 9:
5 (x + 1) = 6 x + 9 + 5

Grouping like terms, 6 x + 5 + 9 = 6 x + (9 + 5):
5 (x + 1) = 6 x + (9 + 5)

9 + 5 = 14:
5 (x + 1) = 6 x + 14

Expand out terms of the left hand side:
5 x + 5 = 6 x + 14

Subtract 6 x from both sides:
(5 x - 6 x) + 5 = (6 x - 6 x) + 14

5 x - 6 x = -x:
-x + 5 = (6 x - 6 x) + 14

6 x - 6 x = 0:
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Subtract 5 from both sides:
(5 - 5) - x = 14 - 5

5 - 5 = 0:
-x = 14 - 5

14 - 5 = 9:
-x = 9

Multiply both sides of -x = 9 by -1:
(-x)/(-1) = -9
(-1)/(-1) = 1:

<span>Answer: x = -9</span>
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