Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81
Future value of loan after 16 years

[compound interest formula]


Future value of payments after 16 years



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



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>
A) For the equation

, the slope is

.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if

, the slope is

.
B) Since this equation is in the same form, you just find what m is equal to.
Since

, that's the slope.
For the solution, set

equal to

, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Proportional relationships<span>: A </span>relationship<span> between two equal ratios. Proportions are the comparison of two equal ratios. Therefore, </span>proportionalrelationships<span> are </span>relationships<span> between two equal ratios. For example, oranges are sold in a bag of 5 for $2. The ratio of oranges to their cost is 5:2 or.</span><span>In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the coefficient of proportionality or proportionality constant.</span>
Answer:
Option B, (-9, -5), 3
Step-by-step explanation:
<u>The point slope form in: y - y1 = m(x - x1)</u>
m is the slope
(x1, y1) is the point
<u>Step 1: Determine what the slope and point is their equation</u>
y + 5 = 3(x + 9)
3 is the slope
(-9, -5) is the point
Answer: Option B, (-9, -5), 3