Mathematics
01.01.2023 07:27
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Help please! Your gross income is $4,520.00/month. Your deductions are FICA (7.65%),

Help please!

Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed
30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savin
a 3.8% APR. What is the total amount of your emergency fund?
$6,516.91
$4,888.40
$4,520.00
$6,107.33
Show Answers
officialkk
officialkk
4,9(80 marks)

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

m =\dfrac{0-100}{8-0} = -12.5

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).

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