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Thepotemich [5.8K]
2 years ago
3

A division of a company produces income tax apps for smartphones. each income tax app sells for $9. the monthly fixed costs incu

rred by the division are $25,000, and the variable cost of producing each income tax app is $4. (a) find the break-even point for the division.
Mathematics
1 answer:
Brilliant_brown [7]2 years ago
6 0

The equation for profit is income – cost:

Profit = Income – Cost

Let us say that x is the number of sold amount

 

Profit = 9 x – (25,000 + 4 x)

Profit = 5 x – 25,000

 

Breakeven point occurs when Profit = 0, hence:

5 x = 25,000

x = 5,000

 

<span>The breakeven is when 5,000 people uses the income tax app</span>

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A central purple circle labeled O has 2 concentric rings around it. The inner ring has 2 small green spheres. The outer ring has
natulia [17]

Answer:

Its C

Step-by-step explanation:

It is 6 because there are 6 dots on the outer circle and those are the valence electrons. Also I just did it on Edge. Hope this helps.

8 0
1 year ago
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Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,
Gnesinka [82]

Answer:

The price of a drink = $4

The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink

<u>Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79</u>

<em>Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50</em>

Now multiply first equation by -3 and second equation by 10

-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237

10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365

Now add the new equationd

30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)

32d = $128 divide both sides of the equation by 32

32 ÷ 32d = 32 ÷ $128 ➡ d = 4

If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn

3p + 5d = $36.50 (replace d with 4)

3p + 4×5 = $36.50

3p + 20 = $36.50

3p = $36.50 - 20

3p = 16.50 divide both sides by 3

p = $5.5

5 0
2 years ago
Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
EleoNora [17]

Answer:

Option A

Step-by-step explanation:

  • f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

3 0
2 years ago
Matt wants to buy a television. If he pays cash, he gets a discount of 7%. If he pays with a loan he has to pay an extra 10% in
Vitek1552 [10]

Answer:

Cost of Television = $294

Step-by-step explanation:

7% discount means 7/100 = 0.07 LESS

So we need to multiply by 1 - 0.07 = 0.93

Also, 10% MORE, or extra, means 10/100 = 0.10 MORE

So we need to multiply by 1 + 0.10 = 1.1

Let cost of television be "c", so we can say:

  • 7% discount would mean cost to be  c(0.93) = 0.93c
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The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:

1.10c-0.93c=49.98\\0.17c=49.98\\c=\frac{49.98}{0.17}\\c=294

Cost of Television = $294

6 0
2 years ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
2 years ago
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