Answer:
15 inches each original side
Step-by-step explanation:
The equation:
![(x+2.5)(4)=70](https://tex.z-dn.net/?f=%28x%2B2.5%29%284%29%3D70)
![4x+10=70](https://tex.z-dn.net/?f=4x%2B10%3D70)
![4x=70-10](https://tex.z-dn.net/?f=4x%3D70-10)
![x=\frac{60}{4} =15](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B60%7D%7B4%7D%20%3D15)
Hope this helps
Answer:
-3x+5
Step-by-step explanation:
The answer is up ahead
X² - 169 = 0
x = ?
<span> Add 169 to both sides.
</span>
x² <span>− 169 + 169 </span>= <span>0 + 169</span>x² = 169
Square root
x = <span>± <span>√<span>169
</span></span></span>
<span><span>x = <span><span>13<span> or </span></span>x </span></span>= <span>−13
x can be 13 or -13.</span></span>
Answer:
$6,506.51
Step-by-step explanation:
Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)
As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12
<u>Month 0</u> (first payment)
$250
Month 1
![250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})](https://tex.z-dn.net/?f=250%20%2B%20250%20%5Cfrac%7B0.04%7D%7B12%7D%3D%20250%28%5Cfrac%7B12.04%7D%7B12%7D%29)
<u>Month 2</u>
![250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)](https://tex.z-dn.net/?f=250%281%2B%5Cfrac%7B12.04%7D%7B12%7D%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E2%29)
<u>Month 3</u>
![250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)](https://tex.z-dn.net/?f=250%281%2B%5Cfrac%7B12.04%7D%7B12%7D%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E2%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E3%29)
<u>Month 24 (2 years)</u>
![250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})](https://tex.z-dn.net/?f=250%281%2B%5Cfrac%7B12.04%7D%7B12%7D%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E2%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E3%2B...%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E%7B24%7D%29)
The sum
![1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}](https://tex.z-dn.net/?f=1%2B%5Cfrac%7B12.04%7D%7B12%7D%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E2%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E3%2B...%2B%28%5Cfrac%7B12.04%7D%7B12%7D%29%5E%7B24%7D)
is the sum of the first 24 terms of a geometric sequence with common ratio
which is
![\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071](https://tex.z-dn.net/?f=%5Cfrac%7B1-%2812.04%2F12%29%5E%7B25%7D%7D%7B1-%2812.04%2F12%29%7D%3D26.02603071)
so, after 2 years the saving balance is
250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.
-3x+2y=8
Steps:
1) Add 3x to both sides to get rid of it by the y.
2y=3x+8
2) Divide both sides by 2 to isolate the y.
y= 3/2x + 8/2
3) Simplify (divide 8 by 2)
y= 3/2x+4
Hope this helps!