Answer:
The solution is ![\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2A%20tan%5E%7B-1%7D%5B%5Cfrac%7Be%5E%7B2x%7D%7D%7B5%7D%20%5D%20%2B%20%20C)
Step-by-step explanation:
From the question
The function given is 
The indefinite integral is mathematically represented as
Now let 
=> 
=> 
So
![= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Cfrac%7Btan%5E%7B-1%7D%20%5B%5Cfrac%7Bu%7D%7B5%7D%20%5D%7D%7B5%7D%20%20%2B%20%20C)
Now substituting for u
Answer:
1992.38
Step-by-step explanation:
The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.
Sum:
1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56
Divide:
There are 12 numbers, so divide 23908.56 by 12:
23908.56 / 12 = 1992.38
The average is thus 1992.38.
<em>~ an aesthetics lover</em>
Answer: 5
Slope is usually the number in front of x
Answer:
(m) =
ΔY
ΔX
= 0
Step-by-step explanation:
Answer:
A) 159.135 = X
B) 2,531.25 = X
C) 6,187.5 = X
D) 831,947.46 = X
Step-by-step explanation:
The following investments are required to be calculated:
A) $ 150 at 3% interest for 2 years
B) $ 750.00 at 1/2% interest for 3 years
C) $ 2,250.00 at 1 3/4% interest for 1 year
D) $ 2,550.00 at 3 1/4 interest for 4 years
Therefore, the following calculations must be performed:
A)
150 x (1 + 0.03) ^ 2 = X
150 x 1.03 ^ 2 = X
159.135 = X
B)
750 x (1 + 0.5) ^ 3 = X
750 x 1.5 ^ 3 = X
2,531.25 = X
C)
2,250 x (1 + 1.75) = X
2,250 x 2.75 = X
6,187.5 = X
D)
2,550 x (1 + 3.25) ^ 4 = X
2,550 x 4.25 ^ 4 = X
831,947.46 = X
