A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.
Answers
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
The net income formula:
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
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9514 1404 393
Answer:
108, 77
Step-by-step explanation:
Let x represent the larger part. Then ...
x + (x -31) = 185
2x = 216
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The two parts are 108 and 77.
B. 1/4
C. 1/8
D. 1/16
E. 1/32
Answers
Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).
What is Probability?
Probability helps us to know the chances of an event occurring.
The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,
Hence, the probability that all four pennies will be tails is (1/16).
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Answer:
1/16
Step-by-step explanation:
Answers
Answer:
c
Step-by-step explanation:
Final answer:
Holly earns $6 per hour for babysitting and $7 per hour for chores, meaning she earns more per hour when doing chores.
Explanation:
The question is about comparing the unit rates between Holly's babysitting job and her chore earnings. Unit rate refers to the amount of money earned per hour. Here's how we calculate it:
- For babysitting, Holly earns $30 for 5 hours. So, the unit rate for babysitting would be $30/5 = $6 per hour.
- For chores, Holly earns $28 for 4 hours. So, the unit rate for chores would be $28/4 = $7 per hour.
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The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.
Answers
The vertex is at (h,k) and the axis of symmetry is at x=h.
Using this, the true statement among the choices is this:
The vertex is at (2, 8) and the axis of symmetry is x = 2.
Answer: C. The vertex is at (2, 8) and the axis of symmetry is x = 2.
Step-by-step explanation:
This answer is 100% correct for edge.nuity users and also e2020.
Answers
Answer:
The total income is 257,250
Step-by-step explanation:
The initial value of salary is 36,000 a year with an increase of 250 every year. Next is presented the salary table of each year:
Year Salary
- 36,000
- 36,250
- 36,500
- 36,750
- 37,000
- 37,250
- 37,500
To have the total income you have to sum all the value of the seven years.
Total income = 36,000 + 36,250 + 36,500 + 36,750 + 37,000 + 37,250 + 37,500 = 257,250 is the total income for the 7 years.
Answers
Answer:
(a) Shown below.
(b) Explained below.
Step-by-step explanation:
(a)
The sample space of rolling an 8-sided die twice is as follows:
S = {(1 , 1) , ( 1 , 2) , ( 1, 3) , ( 1, 4 ) , ( 1, 5) , ( 1 , 6 ) , ( 1, 7 ) , ( 1, 8) ,
(2 , 1) , (2 , 2) , ( 2, 3) , ( 2, 4 ) , ( 2, 5) , (2 , 6 ) , ( 2, 7 ) , ( 2, 8) ,
(3 , 1) , ( 3, 2) , ( 3, 3) , ( 3, 4 ) , ( 3, 5) , ( 3 , 6 ) , (3, 7 ) , ( 3, 8) ,
(4, 1) , ( 4 , 2) , ( 4, 3) , ( 4, 4 ) , ( 4, 5) , (4 , 6 ) , (4, 7 ) , (4, 8) ,
(5, 1) , ( 5 , 2) , ( 5, 3) , (5, 4 ) , ( 5 ,5) , (5, 6 ) , ( 5, 7 ) , ( 5, 8) ,
(6 , 1) , ( 6 , 2) , ( 6, 3) , (6, 4 ) , ( 6, 5) , (6 , 6 ) , ( 6, 7 ) , ( 6, 8) ,
(7 , 1) , ( 7 , 2) , ( 7, 3) , ( 7, 4 ) , ( 7 , 5) , ( 7, 6 ) , ( 7, 7 ) , (7, 8) ,
(8 , 1) , ( 8 , 2) , (8, 3) , ( 8, 4 ) , ( 8, 5) , ( 8 , 6 ) , ( 8, 7 ) , ( 8, 8)}
There are a total of N = 64 elements.
(b)
(i)
The product of the two numbers is a prime number:
Product is a prime number samples:
2 = ( 1, 2) , ( 2, 1)
3 = ( 1 , 3) , ( 3 , 1)
5 = ( 1, 5) , ( 5 , 1)
7 = ( 1, 7) , ( 7 , 1)
Number of samples, n = 8
P (Product is a prime number) = 8/64 = 1/8 = 0.125.
(ii)
The product of the two numbers is not a perfect square :
Product is not a perfect square samples:
2 = ( 1, 2) , ( 2, 1)
3 = ( 1 , 3) , ( 3 , 1)
5 = ( 1, 5) , ( 5 , 1)
6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)
7 = ( 1, 7) , ( 7 , 1)
8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)
10 = ( 2, 5) , ( 5, 2)
12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)
14 = ( 2, 7) , ( 7 , 2)
15 = (3 , 5) , ( 5 , 3)
18 = ( 3, 6) , ( 6 , 3)
20 = ( 4, 5) , ( 5, 4)
21 = ( 3 , 7) , ( 7 , 3)
24 = ( 3 , 8) , ( 4 , 6 ) , ( 6 , 4) , ( 8 , 3)
28 = ( 4 , 7) , ( 7 , 4)
30 = ( 5 , 6) , ( 6 ,5 )
32 = ( 4 , 8) , ( 8 , 4)
35 = ( 5 , 7) , ( 7 , 5)
40 = ( 5 , 8) , ( 8 , 5)
42 = ( 6 , 7) , ( 7 , 6)
48 = ( 6 , 8) , ( 8 , 6)
56 = ( 7 , 8) , ( 8 , 8)
Number of samples, n = 52
P (Product is not a perfect square) = 52/64 = 0.8125
(iii)
The product of the two numbers is a multiple of 5:
Product is a multiple of 5 samples:
5 = ( 1, 5) , ( 5 , 1)
10 = ( 2, 5) , ( 5, 2)
15 = (3 , 5) , ( 5 , 3)
20 = ( 4, 5) , ( 5, 4)
25 = ( 5 , 5)
30 = ( 5 , 6) , ( 6 ,5 )
35 = ( 5 , 7) , ( 7 , 5)
40 = ( 5 , 8) , ( 8 , 5)
Number of samples, n = 15
P (Product is a multiple of 5 ) = 15/64 = 0.2344.
(iv)
The product of the two numbers is less than or equal to 21:
Product is less than or equal to 21 samples:
1 = ( 1, 1)
2 = ( 1, 2) , ( 2, 1)
3 = ( 1 , 3) , ( 3 , 1)
4 = (1 , 4) , ( 2, 2) , ( 4, 1)
5 = ( 1, 5) , ( 5 , 1)
6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)
7 = ( 1, 7) , ( 7 , 1)
8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)
9 = ( 3, 3)
10 = ( 2, 5) , ( 5, 2)
12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)
14 = ( 2, 7) , ( 7 , 2)
15 = (3 , 5) , ( 5 , 3)
16 = (2 , 8) , ( 4 , 4) , ( 8 , 2)
18 = ( 3, 6) , ( 6 , 3)
20 = ( 4, 5) , ( 5, 4)
21 = ( 3 , 7) , ( 7 , 3)
Number of samples, n = 40
P (Product is less than or equal to 21) = 40/64 = 0.625.
(v)
The product of the two numbers is divisible by 4 or 6:
Product is divisible by 4 or 6 samples:
4 = (1 , 4) , ( 2, 2) , ( 4, 1)
6 = ( 1, 6) , ( 2, 3) , ( 3, 2) , ( 6 , 1)
8 = ( 1 , 8) , ( 2, 4) , ( 4 , 2) , ( 8 , 1)
12 = (2 , 6) , ( 3 , 4) , ( 4 3) , ( 6 , 2)
16 = (2 , 8) , ( 4 , 4) , ( 8 , 2)
18 = ( 3, 6) , ( 6 , 3)
20 = ( 4, 5) , ( 5, 4)
24 = ( 3 , 8) , ( 4 , 6 ) , ( 6 , 4) , ( 8 , 3)
28 = ( 4 , 7) , ( 7 , 4)
30 = ( 5 , 6) , ( 6 ,5 )
32 = ( 4 , 8) , ( 8 , 4)
36 = (6 , 6)
40 = ( 5 , 8) , ( 8 , 5)
42 = ( 6 , 7) , ( 7 , 6)
48 = ( 6 , 8) , ( 8 , 6)
56 = ( 7 , 8) , ( 8 , 8)
64 = ( 8 , 8)
Number of samples, n = 42
P (Product is less than or equal to 21) = 42/64 = 0.6563.