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MrMuchimi
3 years ago
11

Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper

receives?
Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

P = 12*2 = 24

To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

I=\frac{\$ 71,000}{24} \\I=\$ 2,958.33

Jasper's gross income per paycheck is $2,958.33.

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Step-by-step explanation:

Since we have given that

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Now, we have to find the quotient of the above expression.

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Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

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\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

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