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Sergio039 [100]
3 years ago
14

In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product.

It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?
Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

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Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
2 years ago
Whats another way to write 300 70 5/10 8/100?
Triss [41]
I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4. 
3 0
3 years ago
Read 2 more answers
Given the function f(x) = 3x + 1, what is the value of f(-2/3)? <br><br>show work <br>​
Marta_Voda [28]

Answer:

f(-2/3) = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

f(-2/3) is x = -2/3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(-2/3) = 3(-2/3) + 1
  2. Multiply:                        f(-2/3) = -2 + 1
  3. Add:                              f(-2/3) = -1
7 0
3 years ago
Evaluate (3.5×10^13)-(1.4×10^12)/3×10^9
maw [93]

Answer:

11,200

Step-by-step explanation:

At first we use "BODMAS" rule.

Given,

(3.5×10^13)-(1.4×10^12)/3×10^9

So, we will break the brackets at first. With the help of excel, we can get the desired result. The following images will show you the step-by-step result.

Use "Number" instead of "general" in the excel sheet. You can use calculator too.

7 0
3 years ago
A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost
aliya0001 [1]

Answer:

$10

Step-by-step explanation:

So the total amount of money needed is $110

And the bat is $100 more than the ball

So basically subtract $100 from $110

And you get $10 So the answer is $10

4 0
3 years ago
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