Answer:
Step-by-step explanation:
You have to start out with the distributive property 5 times 2 times c is 10+5c; now you have to subtract 5c on both sides in the upside down T chart, now its 10=45+c and your answer will be c=4.5.
Answer:
yes
Step-by-step explanation:
Answer:
She made a mistake in Step 7.
Step-by-step explanation:
Step 1 through 6 are correct. Only from Step 6 to Step 7 the problem comes in: both sides of the equation are multiplied by x, however the x on the left side, by error, becomes 1. The correct state in Step 7 should look like this:
![x(\frac{1}{2}P-x)=256](https://tex.z-dn.net/?f=x%28%5Cfrac%7B1%7D%7B2%7DP-x%29%3D256)
Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81
Future value of loan after 16 years
![F=P(1+i)^n](https://tex.z-dn.net/?f=F%3DP%281%2Bi%29%5En)
[compound interest formula]
![=135000(1+.005)^{16*12}](https://tex.z-dn.net/?f=%3D135000%281%2B.005%29%5E%7B16%2A12%7D)
![=351736.652](https://tex.z-dn.net/?f=%3D351736.652)
Future value of payments after 16 years
![\frac{A((1+i)^n-1)}{i}](https://tex.z-dn.net/?f=%5Cfrac%7BA%28%281%2Bi%29%5En-1%29%7D%7Bi%7D)
![=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B869.81%28%281%2B0.005%29%5E%7B16%2A12%7D-1%29%7D%7B0.005%7D)
![=279287.456](https://tex.z-dn.net/?f=%3D279287.456)
Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20
Note: the exact monthly payment for a 25-year mortgage is
![A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7BP%28i%2A%281%2Bi%29%5En%29%7D%7B%281%2Bi%29%5En-1%7D)
![=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B135000%280.005%2A%281%2B0.005%29%5E%7B25%2A12%7D%7D%7B%281%2B0.005%29%5E%7B25%2A12%7D-1%7D)
![=869.806892](https://tex.z-dn.net/?f=%3D869.806892)
Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.
So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.
The closest choice is therefore <span>$72,449.19</span>
Answer:
Bottom left
< means that it's dashed line