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3 years ago

11

Write one way of representing the equation of the given line in point-slope form. Then rewrite the equation in slope-intercept f

orm.

1 answer:

KonstantinChe [14]3 years ago

4 0

I don’t know the 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:

$\mathbf{P= G - 100000}$

<u>(a) The equations</u>

For plan A, we have:

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

For plan B, we have:

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

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

<u>(b) Solve the equation in (a), and intepret</u>

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

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.

<u>(c) His earnings based on (c)</u>

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

<u>(d) If the gross income in less than (b)</u>

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

Read more about equations at:

brainly.com/question/20893366

8 0

3 years ago

The cereal box shown below is a rectangular prism.

joja [24]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

3 0

3 years ago

I need help with this math problem

Troyanec [42]

The exact answer is 12 root 2, but you can also say approximately 17.

I got this by finding the square root of 369, and then 81. After finding these values, you get the equation...

a^2 + 9^2 = 369

a^2 + 81 = 369

a^2 = 288

And then I just found the square root of 288

3 0

4 years ago

If s denotes the length of the arc of a circle of radius r subtended by a central angle \theta , find the missing quantity.

bulgar [2K]

The correct answer would be D<span>. 2.7 m</span> meters.

To solve this,
<span>v=<span>s/r
since we have </span></span><span>s = 7.02 meters, \theta = 2.6
</span>Then
7.02/2.6 = 2.7m

The correct answer is <span>d. 2.7 m. This is the missing quantity which is the radian.
</span>
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.

6 0

4 years ago

Simplify the expression. <br> 1/2r – 2r + 6 – 3

Hoochie [10]

Answer:

-3(r-2)/2

Step-by-step explanation:

r/ 2 − 2 r + 6 − 3

r /2 − 2 r⋅ 2/ 2+ 6 − 3

r/ 2 + − 2r ⋅ 2/ 2 + 6 − 3

r − 2 r ⋅ 2 /2 + 6 ⋅ 2/ 2 + − 3 ⋅ 2/ 2

r − 2 r ⋅2 + 6⋅ 2 − 3 ⋅ 2 /2

r − 4 r + 12 − 6 /2

−3 ( r − 2 ) /2

Hope that helps! Plz, mark brainiest! :D

Have a great day!

7 0

3 years ago