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soldier1979 [14.2K]
2 years ago
8

HELP QUICK EASY QUESTION IM JUST DUM

Mathematics
1 answer:
Anna11 [10]2 years ago
3 0

Answer:

10 ÷ 0.2=50

Step-by-step explanation:

10 lbs in total. Each batch uses 0.2 lbs.

We can find how many batches can be made by dividing 10 by 0.2.

10 ÷ 0.2=50

Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.

They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.

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3 years ago
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Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 9.2% per year.
lilavasa [31]

Answer:

c. 12.48

Step-by-step explanation:

The earnings per share after t years can be modeled by the following equation:

E(t) = E(0)(1+r)^{t}

In which E(0) is the earnings last year and r is the growth rate, as a decimal.

Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 9.2% per year. Growth rate maintained.

This means that E(0) = 3.50, r = 0.092

So

E(t) = E(0)(1+r)^{t}

E(t) = 3.50(1+0.092)^{t}

E(t) = 3.50(1.092)^{t}

If that growth rate were maintained, how many years would it take for Brockman's EPS to triple?

This is t for which E(t) = 3*E(0) = 3*3.50 = 10.50.

So

E(t) = 3.50(1.092)^{t}

10.50 = 3.50(1.092)^{t}

(1.092)^{t} = \frac{10.50}{3.50}

(1.092)^{t} = 3

\log{(1.092)^{t}} = \log{3}

t\log{1.092} = \log{3}

t = \frac{\log{3}}{\log{1.092}}

t = 12.48

So the correct answer is:

c. 12.48

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Evaluate: 2^-4 =. Apex
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Answer:

1/16

Step-by-step explanation:

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