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Paladinen [302]
3 years ago
11

Help me I have no idea how to solve!

Mathematics
2 answers:
gayaneshka [121]3 years ago
8 0
Are we solving for h?
V=πr²h+r²h
V=h(πr²+r²)
V/(πr²+r²) = h
frutty [35]3 years ago
3 0

*****For this problem, I substituted pi, with x, because I cannot find the pi button :/ sorry if it gets confusing... :(

V = xr²h + r²h //solve for h

Factor out the h

V = (xr² + r²) h

divide by xr²+r²

V / xr² + r² = h

Hope this helped! :D


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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
X^2-5x=-4 . I need to find the zeroes
GrogVix [38]
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:

X² - 5x + 4 = 0

Factor the equation:

(x - 1)(x - 4) = 0

Now calculate each piece separately, starting with the first one:

x - 1 = 0

Add 1 to both sides of the equation:

x = 1

We have proven that x = 1. Now calculate the second piece:

x - 4 = 0

Add 4 to both sides of the equation:

x = 4

We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.

I hope this helps!
4 0
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Solve- <br> -5k + 10 = -2k - 14
rusak2 [61]

Answer:

k=8

Step-by-step explanation:

add +2k in the both side

-3k+10=-14

subtract 10 from both side

-3k=-24

divide both side by -3

k=8

4 0
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What is the perimeter of a circle called?
soldi70 [24.7K]

Answer:

circumference.

Step-by-step explanation:

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3 years ago
Round 85.984 to the nearest tenth.
stealth61 [152]

Answer:

Your answer would be 86

Step-by-step explanation:

Hope it helps! Tell me if I am wrong so I can improve.

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3 years ago
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