4x + 4 = 9x - 36
+36 +36
______________
4x + 40 = 9x
-4x -4x
___________
40 = 5x
--- ----
5 5
________
8 = x
x = 8
Answer:
A translation 8 units right and 2 units down
Answer:
33 1/3% decrease
Step-by-step explanation:
The original area is (6in)(10in) = 60 in². The reduced area is (5in)(8in) = 40 in². Then the change in area is ...
((new value)/(old value) -1) × 100%
(40/60 -1)×100% = -1/3×100% = -33 1/3%
The area decreased by 33 1/3%.
Answer:
Rate = 14.07%
Step-by-step explanation:

A= 3500
P= 2000
n = 12
t = 4
![3500= 2000(1+\frac{r}{12})^{4 \times 12}\\\\\frac{3500}{2000} = (1+\frac{r}{12})^{48}\\\\\frac{7}{4} = (1+\frac{r}{12})^{48}\\\\1.75 = (1+\frac{r}{12})^{48}\\\\\sqrt[48]{1.75} = (1+\frac{r}{12})\\\\\sqrt[48]{1.75}-1 = \frac{r}{12}\\\\0.01172688 = \frac{r}{12}\\\\r = 0.01172688 \times 12 = 0.14072267\\\\r \% = 14.07%](https://tex.z-dn.net/?f=3500%3D%202000%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B4%20%5Ctimes%2012%7D%5C%5C%5C%5C%5Cfrac%7B3500%7D%7B2000%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Cfrac%7B7%7D%7B4%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C1.75%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B48%7D%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D%20%20%3D%20%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5C%5C%5C%5C%5Csqrt%5B48%5D%7B1.75%7D-1%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5C0.01172688%20%3D%20%5Cfrac%7Br%7D%7B12%7D%5C%5C%5C%5Cr%20%3D%200.01172688%20%5Ctimes%2012%20%3D%200.14072267%5C%5C%5C%5Cr%20%5C%25%20%3D%2014.07%25)