Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m
2 answers:
Given =
Marcus earned $54,000 last year. social s ecurity tax was 6.2% and medicare tax was 1.45%
Find out he pay in Social Security and Medicare taxes last year.
To proof
Marcus earned last year = $ 54000
Social Security tax = 6.2%
Medicare tax = 1.45%
First find out the social security tax
6.2 % written in the simpler form =
= 0.062
Social Security tax last year = .062×54000
= $ 3348
find out Medicare taxes
1.45% Medicare tax written in the simpler form =
= 0.0145
Medicare taxes last year = 0.0145 × 54000
= $743
Total tax last year = $743 + $3348
= $ 4131
Hence proved
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Answer: 0.813
Step-by-step explanation:
Let A be the event describes the number of residents believed that the amount of violent television programming had increased over the past 10 years.
& B be the event describes the number of residents believed that the amount of violent television programming had decreased over the past 10 years.
Given : n(A)=721 ; n(B)=454 ; n(A∩B)=362
We know that ,
i.e.
Also, the total number of U.S. residents surveyed n(S)= 1,000
Then, the proportion of the 1,000 U.S. residents believed that either the amount of violent programming had increased or the overall quality of programming had decreased over the past 10 years will be :-
Hence, the required answer = 0.813
Answer:
When new, the scooter cost $900
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we have
This is a exponential function of the form
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
Convert to percentage (multiply by 100)
---> negative means is a decreasing function
<u><em>Verify each statements</em></u>
<em>case A</em>) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
