Answer:
The answer is 1 5/6
Step-by-step explanation:
0.078, 0.5, 0.507, 0.75.
Hope it helps ; )
Answer:
$57.50
Step-by-step explanation:
we know that
The monthly loan payment formula is equal to
![M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^{12t}}{(1+\frac{r}{12})^{12t}-1}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7BP%28%5Cfrac%7Br%7D%7B12%7D%29%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B12t%7D%7D%7B%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B12t%7D-1%7D)
where
M ----> is the monthly payment
P ---> the amount borrowed
r ---> interest rate as decimal
t ---> length of the loan in years
we have
substitute in the formula
![M=\frac{3,200(\frac{0.03}{12})(1+\frac{0.03}{12})^{12(5)}}{(1+\frac{0.03}{12})^{12(5)}-1}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B3%2C200%28%5Cfrac%7B0.03%7D%7B12%7D%29%281%2B%5Cfrac%7B0.03%7D%7B12%7D%29%5E%7B12%285%29%7D%7D%7B%281%2B%5Cfrac%7B0.03%7D%7B12%7D%29%5E%7B12%285%29%7D-1%7D)
![M=\frac{3,200(0.0025)(1.0025)^{60}}{(1.0025)^{60}-1}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B3%2C200%280.0025%29%281.0025%29%5E%7B60%7D%7D%7B%281.0025%29%5E%7B60%7D-1%7D)
![M=\$57.50](https://tex.z-dn.net/?f=M%3D%5C%2457.50)
<h3>The value of y is 4</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
![\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%20%2B%20%5Cfrac%7B1%7D%7B8%7Dy%20%3D2%20----------%20eqn%5C%201%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7Dy%20%3D%204%20--------------%20eqn%5C%202)
We have to find value of y
From eqn 1,
![\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%20%2B%20%5Cfrac%7B1%7D%7B8%7Dy%20%3D2%20%5C%5C%5C%5C2x%20%2B%20y%20%3D%202%20%5Ctimes%208%5C%5C%5C%5C2x%20%2B%20y%20%3D%2016%20----%20eqn%5C%203)
From eqn 2,
![\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7Dy%20%3D%204%5C%5C%5C%5C2x%20%2B%203y%20%3D%204%20%5Ctimes%206%5C%5C%5C%5C2x%20%2B%203y%20%3D%2024%20------%20eqn%5C%204)
Subtract eqn 3 from eqn 4
2x + 3y = 24
2x + y = 16
( - ) -----------------
2y = 8
y = 4
Thus value of y is 4
Answer:
the value after solving = 16
Step-by-step explanation:
=》8 + (8/1^4) =》8 + 8 ( since 1^4 = 1 )
=》16