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Hatshy [7]
3 years ago
11

The sum of a number, x, and 12 is -6. What is the value of x?

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Step-by-step explanation:

12-(-6)=18

-18+12=-6

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Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade shows. Because of compensati
mariarad [96]

Answer:

a) Total Cost for EzRecords = $13000

Cost per unit of EzRecords = $162.50

Total Cost for ProOffice = $10000

cost per unit of ProOffice = $200.00

b) Total Cost for EzRecords = $25000

Cost per unit of EzRecords = $125.00

Total Cost for ProOffice = $17500

cost per unit of ProOffice = $175.00

Step-by-step explanation:

a) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 80 = $8000

Variable Cost of proOffice products = $150 × 50 = $7500

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $8000

Variable cost for ProOffice = $7500

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $8000 = $13000

Total Cost for ProOffice = $2500 + $7500 = $10000

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 13000/(80) = $162.50

Cost per unit of ProOffice = 10000/50 = $200.00

b) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 200 = $20000

Variable Cost of proOffice products = $150 × 100 = $15000

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $20000

Variable cost for ProOffice = $15000

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $20000 = $25000

Total Cost for ProOffice = $2500 + $15000 = $17500

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 25000/(200) = $125.00

Cost per unit of ProOffice = 17500/100 = $175.00

8 0
3 years ago
Do anyone know the answer to this problem?
dimaraw [331]

Answer: An = 36 + 2(n - 1)

Step-by-step explanation:

If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as

An = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 36 inches

d = 2 inches

Therefore, the explicit rule representing this situation is

An = 36 + 2(n - 1)

8 0
4 years ago
Warren measured a rectangular window to find out how much plastic he would need to cover it.the window measured 5ft 6in. by 2ft
BabaBlast [244]
5ft 6in = 66 in
2ft 9in = 33 in
66 • 33 = 2178
About 2178 squares inches of plastic will cover the window.
3 0
3 years ago
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
prohojiy [21]

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

<h2>1. 16^2 + x^2= 20^2</h2><h2>2. 256 + x^2=400</h2><h2>3. x^2=144</h2><h2>4. \sqrt{144} = 12 </h2><h2 />
8 0
3 years ago
Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?
QveST [7]

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

6 0
3 years ago
Read 2 more answers
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