Step-by-step explanation:
Mei runs 6 days each week.
=> Mei runs 18 days in 3 weeks.
Since she ran 92.16 miles in 18 days,
She ran 92.16 miles / 18 days
= 5.12 miles/day.
The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17
<h3>What is Federal Income Tax?</h3>
Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.
<h3>What is FICA Tax?</h3>
FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:
- Social Security Tax which is 6.2% and
- Medicare Tax which is 1.45%. The total is 7.65%
How to calculate Tonja's Tax before deduction
Federal Tax rate first level is 10% on 0$ - $19,900.
1) Hence, the first tax is 10% on $600, which is $60
2) The next tax is FICA. This is applied to the Gross Pay of $600.
Applying both taxed under FICA we have 7.65% * $600 = $45.9
Total Tax before a deduction is:
$60 + $45.9 = $105.6
The Tax Payable if childcare expenses is deducted first will be:
10% on $450 = $45
7.65% on $450 = $34.43
Total = $79.43
Hence the tax savings will be:
105.6 - 79.43 = $26.17
Learn more about FICA Tax at:
brainly.com/question/3214345
Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
For different function different results are shown below.
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
Learn more about function from:
brainly.com/question/12431044
#SPJ1
