Answer:
This is actually pretty easy.
(3x + 15) = 120
3x = 105
x = 35
Step-by-step explanation:
<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
⠀
- Each exterior angle of a regular polygon has a measure of 40°
⠀
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
⠀
- The number of sides of the polygon
⠀
<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
⠀
⠀
<u>Solution</u><u> </u><u>:</u><u>-</u>
⠀
Using the formula,
⠀
⠀
Thus, the polygon is a nonagon, and hence has 9 sides.
⠀
Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).
TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.
Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,
PQ^2 + QR^2 = PR^2
PQ^2 + 5^2 = 9^2
PQ^2 = 56
PQ = √56 = 2√14
Then the perimeter of PQRS is
PQ + QR + RS + SP = 2√14 + 5 + 5 + 2√14 = 10 + 4√14
and so the answer is B.
The total amount repaid will be
.. monthly payment × number of months
.. = $2,160 × 360
.. = $777,600
Subtracting the amount of the principal that was repaid gives the interest.
.. $777,600 -360,000 = $417,600 . . . . total interest paid
Standard form: 8x - y = -2
