1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yan [13]
3 years ago
7

A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the

factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $980 each week. What is the inequality for the number of backpacks ,x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal? Also give a statement.
Mathematics
2 answers:
Galina-37 [17]3 years ago
6 0
980= (40-10)x - 12000= amount of PROFIT
12,980 = 30x; divide both sides by 30; and you get x=432.67
So the company would need to sell at least 433 backpacks to make a profit of at least 980 per week
Hatshy [7]3 years ago
4 0

Answer: x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

<em>Profit = revenue- cost </em>

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

You might be interested in
What is the inverse of function f? f(x)=10/9+11
Lena [83]

Answer:

Option D is answer.

Step-by-step explanation:

Hey there!

Given;

f(x) = 10/9 X + 11

Let f(X) be "y".

y = (10/9) X + 11

Interchange "X" and "y".

x = (10/9) y + 11

or, 9x = 10y + 99

or, y = (9x-99)/10

Therefore, f'(X) = (9x-99)/10.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

6 0
3 years ago
...........................................................
klasskru [66]

Answer:

lollllll

Step-by-step explanation:

have a nice day!

3 0
3 years ago
Read 2 more answers
Question :-
DochEvi [55]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  +  \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } } \bigg ) {}^{2}  +  \bigg( \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}  + 2 \cdot \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  \cdot \sqrt{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{1}{7 +  \sqrt{5} }  + 7 +  \sqrt{5}  + 2

\qquad \sf  \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5}   }{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{68+ 16 \sqrt{5}    }{7 +  \sqrt{5} }

5 0
1 year ago
3. Write in algebra form 4 units to the right and 3 anit down
viva [34]

Answer:

what type of question is it con you click the photo and send

5 0
2 years ago
Find the area of rectangle PLUM
Cerrena [4.2K]

PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)

Using similarity gives that AM=4/3.

ML=40/3

[PLMU]=40/3 * 4 = 160/3 (53.33)

Or

PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3

4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33


7 0
2 years ago
Other questions:
  • What number is equal to 4^3
    8·2 answers
  • June and Sushil win some money and share it in the ratio 3:1. June gets £20 more than Sushil. How much did Sushil get?Caroline,
    9·1 answer
  • Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
    14·1 answer
  • Roger Brown works for the sanitation department. He earns a salary of $721.00 biweekly. His boss gave him
    12·1 answer
  • Esteban walked out of his house to go for his morning jog. He realized he forgot his keys and went back to get them, walked out
    14·1 answer
  • In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?
    7·2 answers
  • In ABC segment DC bisects /_C and divides AB into segment AD and BD. CD = 6 units and AC = 8.5, then which statement would
    15·1 answer
  • Terry has a box of 144 colored pencils. If he and 4 of his friends share the pencils equally, how many pencils will be left over
    12·1 answer
  • You deposit $4500 into a savings account for 3 years. How much interest do you earn if the savings account has a 5% interest rat
    14·2 answers
  • What does 17/10x 10/17 equal
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!