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Dmitry [639]
2 years ago
12

A business invests 6,000 in equipment to produce a product. Each unit of the product costs $0.90 to produce and is sold for $1.5

0. How many units of the product must be sold in order for the business to make a profit
a) 60
b) 100
c) 1000
d) 10,000
Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

  d)  10,000

Step-by-step explanation:

The business makes a profit of $1.50 -0.90 = $0.60 on each unit. In order for the profit to match the investment in equipment, the number of units sold must be ...

  $0.60 · units sold = $6,000

  $6,000/$0.60 = units sold = 10,000 . . . . . . divide by the coefficient of units sold

10,000 units of the product must be sold in order for the business to begin making a profit.

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Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
nevsk [136]

Step-by-step explanation:

Points are (8,5) and (-12,-9)

The equation of a line passing through two points is given by :

y-y_1=m(x-x_1)\ \text{m is slope}\\\\y-5=\dfrac{y_2-y_1}{x_2-x_1}(x-8)\\\\y-5=\dfrac{-9-5}{-12-8}\times (x-8)\\\\y-5=\dfrac{7}{10}\times (x-8)\\\\10y-50=7x-56

or

-50+56=7x-10y\\\\7x-10y=6

But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.

7 0
2 years ago
A camera manufacturer spends $1,800 each day for overhead expenses plus $9 per camera for labor and materials . The cameras sell
kobusy [5.1K]
A) set x as the number of cameras
18x=9x+1800
9x=1800
x=200

b) i'm assuming it's increasing production from my answer in a, so the profit would be 18(250)-(9*250+1800)=4500-4050=450
4 0
2 years ago
The Great Lakes differ in both their areas (measured in square miles) and their depths. However these two dimensions do not keep
Masteriza [31]

Answer:

The order of Great Lakes according to depth is (descending order): 1. Lake Superior 2. Lake Michigan 3.  Lake Ontario 4. Lake Huron 5. Lake Erie

Step-by-step explanation:

Lake Superior is by far the largest and deepest of the great Lakes. Lake Michigan is exceeded in depth only by Lake Superior, but it is exceeded in area by both Lakes Superior and Huron. Lake Ontario, which is the smallest in area, is deeper than both Lakes Huron and Erie. Lake Erie is larger than Lake Ontario but it is not only shallower than Huron; it is also shallower than Ontario. So, the order of Great Lakes according to depth is (descending order): 1. Lake Superior 2. Lake Michigan 3.  Lake Ontario 4. Lake Huron 5. Lake Erie

3 0
2 years ago
What is the square root of r64?
ohaa [14]
Answer is r32 because it is the square root of an exponent you must divide it.
5 0
2 years ago
Read 2 more answers
CRITICAL THINKING A local zoo employs 36 people to take care of the animals each day. At most, 24 of the employees work full tim
k0ka [10]

We assume all employees are either full-time or part-time.

36 = 24 + 12

If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)

_____

You can write the inequality in two stages.

  1. First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
  2. Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.

Let f and p represent the numbers of full-time and part-time employees, respectively.

... f + p = 36 . . . . . . given

... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.

... f ≤ 24 . . . . . . . . . given

... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.

... 36 - 24 ≤ p . . . . add p-24

... p ≥ 12 . . . . . . . . the solution to the inequality

5 0
2 years ago
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