Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
I'd say the answer would be 8.
Hi there!
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:
Total area = 104+24 = 128 sq.in , Option C is the right answer.
The missing figure is attached with the answer.
<h3>What is Area ?</h3>
The space occupied by a two dimensional figure is called Area.
The figure given in the question can be divided into two figure
A rectangle of 8 * 13 inch
and a triangle of 8 * 6 inch
The area of a rectangle is given by
Length * Breadth
8 * 13
= 104 sq.inch
The area of the triangle is given by
(1/2) * base * height
= (1/2) * 8 * 6
= 24 sq.inch
Total area = 104+24 = 128 sq.in
Therefore Option C is the right answer.
To know more about Area
brainly.com/question/27683633
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