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babymother [125]
3 years ago
15

Nick opens a savings account with $50. Each week after, he deposits $15. He wants to save $500. Write and solve equation to find

the number of weeks it will take him to save $500.
Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

Equation: 500 = 50 + 15x

Step-by-step explanation:

where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.  

500 = 50 + 15x

500 = 50 + 15x

450 = 15x

x = 30

 

Now Nick will have to deposit $15 each week for 30 weeks.   This is in addition to the $50 deposit he made week 1.  So it will take him 31 total deposits to accumulate the $500.

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Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17
Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}

It can be rewritten as

\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}     .... (1)

We know that,

\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}          ... (2)

Using (1) and (2) we get

\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}

Substitute total debt ratio=0.46 in the above equation.

0.46=1-\dfrac{1}{\text{Equity multiplier}}

0.46-1=-\dfrac{1}{\text{Equity multiplier}}

-0.54=-\dfrac{1}{\text{Equity multiplier}}

\text{Equity multiplier}=-\dfrac{1}{-0.54}

\text{Equity multiplier}=1.85185185

\text{Equity multiplier}\approx 1.85

Therefore, the correct option is D.

7 0
3 years ago
A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the
Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

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Now yes, we can continue, we have the following data:

vi = 0

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the equations in this case are as follows:

vf = vi + a * t

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rearranging for a

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now with the position equation we know that:

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now replacing (1) in (2), we are left with:

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t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

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3 years ago
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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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