Answer:
<h2><em>
A = 75 in²</em></h2>
Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
<em>A = lw</em>
<em>l</em> - length
<em>w </em>- width
We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:
<em>A = (10)(5) = 50 in²</em>
The formula of an area of a triangle:
<em>A = 1/2 bh</em>
<em>b</em> - base
<em>h</em> - height
We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:
<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>
The area of figure:
<h3><em>
A = 50 in² + 25 in² = 75 in²</em></h3>
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
Answer:

Step-by-step explanation:
Given
12.7, 22, 23.5, 24, 11, 22
Required
Determine the M.A.D
Start by calculating the Mean

In this case, n = 6
So:



Subtract the mean from each element






Take absolute value of the results above






The mean of the above gives the MAD




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