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Dafna1 [17]
3 years ago
13

ralph earns $72,000 annually as an architect and is paid semimonthly. alice also ers $72,000 but she is paid biweekly. how many

more checks does alice recieve in a year when compared to ralph?
Mathematics
1 answer:
alex41 [277]3 years ago
6 0

We have been given that Ralph earns $72,000 annually as an architect and is paid semimonthly.

Semimonthly means twice in a month. There are 12 months in a year.

Therefore, in a year Ralph gets

12\times 2 = 24 \text{ checks}

Now, Alice also earns $72,000 but she is paid biweekly.

Biweekly means twice a week. There are 52 weeks in a year.

Therefore, in a year Alice gets

52\times 2 = 104 \text{ checks}

The difference in the number of checks is 104 - 24 = 80

Thus, Alice receives 80 more checks in a year when compared to Ralph.

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Answer:

                The slope is: m = -²/₅

               The y-intercept is:  b = -2

               The equation of the line: y = -²/₅x - 2

Step-by-step explanation:

  The equation of a line in slope intercept form: y = mx + b

The slope:   m=\dfrac{y_2-y_1}{x_2-x_1}

(-5, 0)   ⇒  x₁ = -5,  y₁ = 0

(0, -2)   ⇒  x₂ = 0,  y₂ = -2

So:

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3 years ago
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Step-by-step explanation:

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2 years ago
Read 2 more answers
0=-20.5x+16.35x-0.1245
Pachacha [2.7K]

The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

⇒ 4.15x-0.1245 = 0

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

⇒ 4.15x = 0.1245

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ 4.15x / 4.15 = 0.1245/4.15

⇒ x = 0.03

Therefore, the value of x is 0.03

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