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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)
Answer:
12
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 3, 6 ] , then
f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56
f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then
average rate of change =
=
= 12
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet
Answer:
Z.
Step-by-step explanation:
I wrote down the subject with the number of students. I looked one by one to see if the number of students with the subject matched with the graph. Then I finally found that the last graph matched with what I written down.