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3 years ago

Directions: Read the scenario below and calculate what Marcus' pay is after deductions are

Mathematics

1 answer:

hram777 [196]3 years ago

7 0

Answer:

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

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Step-by-step explanation:

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Solve the following equation. X cubed minus 6X squared plus 6X equals zero

anyanavicka [17]

We have to solve this equation:

$x^3-6x^2+6x=0$

Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:

$\begin{gathered} x^3-6x^2+6x=0 \\ x(x^2-6x+6)=0 \end{gathered}$

Now we can find the roots of the quadratic polynomial as:

$\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot1\cdot6}}{2\cdot1} \\ x=\frac{6\pm\sqrt[]{36-24}}{2} \\ x=\frac{6\pm\sqrt[]{12}}{2} \\ x=\frac{6\pm\sqrt[]{4\cdot3}}{2} \\ x=\frac{6\pm2\sqrt[]{3}}{2} \\ x=3\pm\sqrt[]{3} \\ x_1=3-\sqrt[]{3} \\ x_2=3+\sqrt[]{3} \end{gathered}$

Then, the solutions to the equation are:

x = 0

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1 year ago