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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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Two functions f and g are given. Show that the growth rate of the linear function is constant and that the relative growth rate
joja [24]

Answer:

  linear function growth rate: 8.5

Step-by-step explanation:

The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)

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The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...

  g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8

It is a constant.

6 0
3 years ago
3. Solve the following application of a system of linear equations.
zhuklara [117]

Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

y = 140

or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

4 0
3 years ago
12а + 7x - За – 2х what's the answer<br>​
Troyanec [42]
9a-5x

step by step explanation:

you can only add and subtract numbers that have the same variables.

12a and 3a are related because there variable is both a.

when u subtract 12a-3a you get the answer of 9a using subtraction.

7x and -2x are the second pair of related terms because they also have the same variable (x)

7x-2x is 5x using subtraction.

put the expression together:

9a-5x

hope this helps!

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olga nikolaevna [1]

Answer:1/32

Step-by-step explanation:

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erastovalidia [21]

Lets take this step by step.

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first, we'll simplify the parentheses on the left side of the equation.

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third, we'll combine like terms on the right side of the equation.

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since these are equal, (x=x), we have infinitely many solutions.

7 0
3 years ago
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