Answer:
First find the LCD between the denominator. 2, and 3 both share 6, so the answers 6
2(x - 16) + 12 = 30
2x - 32 + 12 = 30
2x - 20 = 30
2x = 30 + 20
2x = 50
x = 50/2
x = 25 <=== the temp was 25 at midnight
Answer:
Monthly payment = $908.99
(A) $125,862.32
Step-by-step explanation:
Given:
Present value = $150,000
Duration, n = 30 years = 30 × 12 = 360 months
Interest = 6.1% compounded monthly
or
Monthly interest, r =
= 0.5083%
Now,
Monthly payments can be calculated using the formula
![\textup{Present value}=\textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})](https://tex.z-dn.net/?f=%5Ctextup%7BPresent%20value%7D%3D%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%29)
thus,
![\$\textup{150,000}=\textup{Monthy payment}\times(\frac{1-(1+0.005083)^{-360}}{0.005083})](https://tex.z-dn.net/?f=%5C%24%5Ctextup%7B150%2C000%7D%3D%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2B0.005083%29%5E%7B-360%7D%7D%7B0.005083%7D%29)
or
Monthly payment = $908.99
(A) unpaid balance after 10 years will be equal to the payment made in 20 years starting from the end of 10th year
thus,
n = 20 × 12 = 240
Unpaid balance = ![\textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})](https://tex.z-dn.net/?f=%5Ctextup%7BMonthy%20payment%7D%5Ctimes%28%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%29)
or
Unpaid balance = ![\textup{908.99}\times(\frac{1-(1+0.005083)^{-240}}{0.005083})](https://tex.z-dn.net/?f=%5Ctextup%7B908.99%7D%5Ctimes%28%5Cfrac%7B1-%281%2B0.005083%29%5E%7B-240%7D%7D%7B0.005083%7D%29)
or
Unpaid balance after 10 years = $125,862.32
Answer:
D.
Step-by-step explanation:
You are splitting the equation up. (I don't really know how to explain it sorry)
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