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4 years ago

When 16x cubed - 12x squared + 4x is divided by 4x , the quotient is

1 answer:

3 0

$(16x^3-12x^2+4x):4x=\frac{16x^3-12x+4x}{4x}=\frac{16x^3}{4x}-\frac{12x^2}{4x}+\frac{4x}{4x}\\\\=\underline{\underline{4x^2-3x+1}}\leftarrow Answer$

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His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro

Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$
The gross income must be $300000, for Dave to earn the same amount with either plan.
His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

$\mathbf{P= G - 100000}$

(a) The equations

For plan A, we have:

$\mathbf{A = \frac{1}{90}G}$ ----1/90 of the company's gross income

For plan B, we have:

$\mathbf{B = \frac{1}{60}P}$ ----1/90 of the company's profit

When both are the same, we have:

$\mathbf{A= B}$

This gives

$\mathbf{\frac{1}{90}G= \frac{1}{60}P}$

Substitute $\mathbf{P= G - 100000}$

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Hence, the equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

(b) Solve the equation in (a), and intepret

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Cross multiply

$\mathbf{60G = 90G - 9000 000}$

Collect like terms

$\mathbf{90G - 60G = 9000 000}$

$\mathbf{30G = 9000 000}$

Divide both sides by 30

$\mathbf{G = 3000 00}$

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

$\mathbf{A = \frac{1}{90}G}$

Substitute $\mathbf{G = 3000 00}$

$\mathbf{A = \frac{1}{90} \times 300000}$

$\mathbf{A = 3333.33}$

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

brainly.com/question/20893366

8 0

3 years ago

I’m january , wallys’s widget had sales of 12,500 and expenses of 10,200 the profit for january was ?

Fofino [41]

Answer:

$2,300

Step-by-step explanation:

The basic formula for profit is: profit = sales - expenses

Therefore 12,500 - 10,200 = $2,300

I hope this helps!

7 0

3 years ago

5/6 of 7 what is it. oopoo

Westkost [7]

Answer:

5 5/6

Step-by-step explanation:

5/6 x 7 = 35/6 = 5 5/6

4 0

3 years ago

Dennis is going to use a number line to multiply 6 × 4.

Sergeeva-Olga [200]

B. The answer will always be to the right of 4.
6 x 4 = 24
24 is greater than 4, which means it is to the right of 4. On a number line, numbers increase from left to right.

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3 years ago

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Given that x is a whole number, Niram conjectured that x3>x2 .

konstantin123 [22]

Not sure but I think it is c

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4 years ago

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