C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.
Answer:
$1,448.66
Step-by-step explanation:
The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:
![FV = P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=FV%20%3D%20P%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
For P = $100, r = 0.08 and n = 10 years:
![FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66](https://tex.z-dn.net/?f=FV%20%3D%20100%5B%5Cfrac%7B%281%2B0.08%29%5E%7B10%7D-1%7D%7B0.08%7D%5D%5C%5CFV%3D%5C%241%2C448.66)
The amount at the end of the ten years is $1,448.66
A variable is an unknown like x so
first we start with
x=8
then we subtract (because you must add to reverse subtraction)
x-2=8-2
x-2=6
then we divide ( because you must multiply to reverse division)
(x-2)/3=6/3
(x-2)/3=2
find x
Brian should purchase Choice C of fabric
<em><u>Solution:</u></em>
Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long
So piece of fabric should be between: 49 and 53 inches
- Choice A is
feet long
Let us convert feet to inches

Now convert to inches
We know that,
1 feet = 12 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice B is
feet long

Now convert to inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice C is
feet long

Now convert to inches

So this 52 inches lies between 49 and 53 inches
So Brian should purchase Choice C of fabric
The complete question in the attached figure
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠<span>B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
</span>∠B=180°-∠A=180°-75°=105°
∠B=105°
<span>Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°</span>
<span>Thus, the sum of any two adjacent angles of a parallelogram is 180°.
</span>
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°