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topjm [15]
3 years ago
5

Larry has a new mortgage of $150,000 with an interest rate of 10% per year. What is the balance after 3 monthly payments of $1,3

50? Show work.
Mathematics
1 answer:
GaryK [48]3 years ago
3 0
Https://answers.yahoo.com/question/index?qid=20120624121412AAV4Cjw
Hope that helps!
If the link doesn't work if you click on it, then just copy and paste. 
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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
What is the number in scientific notation? ​0.000013
leva [86]
13^6 you whould have to move the decimal over 6 times :)
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3 years ago
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What is the precise definition of an angle?
Dmitriy789 [7]
<span>The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.</span>
6 0
3 years ago
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13 points!!! <br><br> 34ft 4in - 8=
vredina [299]
If feet:
34' 4" - 8' = 26' 4"

if inches: = 33' 8"

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3 years ago
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What is the result when the number 4 is decreased by 25%?
OleMash [197]
4/4=1. So we need to subtract 1 from 4 to get the final Answer which is 3.
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