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sveta [45]
3 years ago
15

The Mercury Electric Company issued 2,000,000 shares of stock at $62.50 per share. These selling expenses are deducted: commissi

ons 4%, legal fees $2,255,500, advertising $450,000, printing costs $324,400, and accounting fees $386,000. Find the selling expense per share to the nearest cent.
Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
 Total expense= sum of all expenses incurred 
                       = commission+legal fees+advertising+printing cost+accounting fees

Total amount of shares sold=$ 2000000 x $62.5
                                              =$ 125000000
commission= 4% of the total amount of shares sold                      = .04x12500000
                      =$ 5000000
total expenses= $5000000+$2255500+$450000+$324400+$386000
                        =$8415900
selling expense/share = $8415900/2000000
                                      =$4.21/shareThe total expense per share is $4.21.

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Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

6 0
3 years ago
The square root of 61 is in between 2 integers what are they
swat32
One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8
8 0
3 years ago
A student builds a model of a high-rise for a diorama for an architecture class. The model is a perfect cube and the total volum
anzhelika [568]
Volume = length x width x height

Thus, you need to find the cubic root of 500....the number that when multiplied by itself three times = 500,

There are different ways to write this. \sqrt[3]{500}
= \sqrt[3]{125 * 4}
= 5\sqrt[3]{4}

You can also show it as a decimal using a calculator = 7.94
8 0
3 years ago
Which of the following is an advantage of using systematic random sampling?
bekas [8.4K]

This is a question that asks about the advantages of a systematic random sampling. Thus, we first take a look at the types of sampling, and then we see the advantage of systematic random sampling.

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Systematic:

One of the bigger advantages is that the systematic sampling eliminate clusters, which means that the last option is wrong.

Inadvertently missing patterns is a problem in systematic sampling, and not an advantage, thus the third option is also wrong.

It also does not reduce sampling variability, thus the first option is wrong.

From this, it can be concluded that the correct option is:

Systematic random sampling does not require a finite population size.

For another example of systematic random sampling, you can check brainly.com/question/21100042

8 0
3 years ago
Sovle the system of linear equations by graphing y=2x-1 y=x+1
lorasvet [3.4K]

Answer:

2x-1=x+1

2x-x=x

1+1=2

x=2

Knowing x's value, we substitute it with the equations

y=x+1

y=2+1

or y=2x-1

y=2(2)-1

y=4-1

y=3

(2,3) are your coordinates :D

5 0
3 years ago
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