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maks197457 [2]
2 years ago
5

Erin Thompson agreed to purchase a house for $97,900. Hoover Mortgage is willing to lend her

Mathematics
1 answer:
Solnce55 [7]2 years ago
8 0
$2,697 is correct :)


$97,900-$8000=$89,900 because down payments are never included with the total mortgage loan.
8 percent for 30 years means there will be 8 percent interest that the bank charges on a 30 year loan that is on a fixed payment per month.
3 percent for closing costs or 0.03•$89,900=$2,697
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In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
marissa [1.9K]

Answer:

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X (1)

If we know that X = 49^{\circ}, XY = 18 and YZ = 14, then we have the following second order polynomial:

14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}

XZ^{2}-23.618\cdot XZ +128 = 0 (2)

By the Quadratic Formula we have the following result:

XZ \approx 15.193\,\lor\,XZ \approx 8.424

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y

\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}

Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)

1) XZ \approx 15.193

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 54.987^{\circ}

2) XZ \approx 8.424

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 27.008^{\circ}

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

6 0
3 years ago
5, -15, 45, -135 identify the common ratio , then write the sequence as a geometric series
Novay_Z [31]

Answer:

Common ratio: -3

Geometric sequence: an=5(-3)^n-1

Step-by-step explanation:

Each number multiplied by -3 gets the product of the next number. (5*-3= -15)

8 0
2 years ago
PLEASE HELP!!
Radda [10]

Answer:

C.) 2\sqrt{34}

Step-by-step explanation:

<em>You must use the pythagorean theorem</em>

the distance on the x axis (or a) is 6

the distance on the y axis (or b) is 10

6^{2}  + 10^{2} = 136

\sqrt{136} = 2\sqrt{34}

4 0
3 years ago
A survey of the 5769 vehicles on the campus of State University yielded the following circle graph.
bearhunter [10]

Answer:

A. 288

Step-by-step explanation:

EDG 2021

7 0
2 years ago
Read 2 more answers
For the function f(x) = -3x, find the difference quotient <br> f(a+h)-f(a) / h
likoan [24]

Step-by-step explanation:

f(a+h) – f(a)/h = –3

so the answer is –3

7 0
2 years ago
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