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Aliun [14]
3 years ago
11

Your gross pay is $2,759.00. your involuntary deductions are fica (7.65%), federal withholding (12%), and state withholding (7%)

. how much are you allowed for housing and fixed expenses? a. $772.52 b. $993.24 c. $728.54 d. $566.64
Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0
728.54 is the correct answer in this particular situation.
max2010maxim [7]3 years ago
6 0
Gross pay = $2,759.00
Total deductions = 7.65%+12%+7% = 26.65% = 0.2665

By thumb rule, rent and other fixed expenses ≤ 28% of Monthly gross salary

Therefore,
Allowed housing and fixed expenses = 0.28*2,759 = $772.52

Then, a. is the correct answer.
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F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

------------

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

------------

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
2 years ago
What is the answer to this
MrMuchimi

Answer:

a

Step-by-step explanation:

5 0
2 years ago
What is 9 plus 5????
sertanlavr [38]

Answer:

14

Step-by-step explanation:

9 10 11 12 13 14

7 0
3 years ago
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suppose another tire is rolled 100 revolutions and travels about 5027 inches what is the radius of this tire NEED THIS ANSWERED
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Ff is a trigonometric function of the form f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+df, left parenthesis, x, right parenthesis, equals,
andriy [413]

The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

<h3>How to derive a sinusoidal expression</h3>

In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:

f(x) = a · sin (b · x + c) + d    (1)

Where:

  • a - Amplitude
  • b - Angular frequency
  • c - Angular phase
  • d - Vertical midpoint

Now we proceed to find the value of each variable:

Amplitude

a = - 2 - (-6.5)

a = 4.5

Angular frequency

b = 2π / T, where T is the period.

0.25 · T = 4 - 3

T = 4

b = 2π / 4

b = π / 2

Midpoint

d = - 6.5

Angular phase

- 2 = 4.5 · sin (π · 4/2 + c) - 6.5

4.5 = 4.5 · sin (π · 4/2 + c)

1 = sin (2π + c)

π = 2π + c

c = - π

The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

3 0
2 years ago
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