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Kamila [148]
3 years ago
12

A company that sells widgets has to pay 1000 in one-time equipment fees and then it costs $\$0.50$ for each widget it makes. It

sells widgets at a price of $2.75 per widget. What is the least number of widgets the company has to sell in order to make a profit?
Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Answer:

12 widgets

Step-by-step explanation:

IgorLugansk [536]3 years ago
5 0

Answer:

445

Step-by-step explanation:

\text{Profit}=\text{Price}-\text{Cost}\\\text{Profit}=2.75-50=2.25\\\text{In order to make back the starting amount we need to sell n lots of widgets.}\\2.25n\geq 1000\\n\geq \frac{1000}{2.25}\\n\geq 444.444444\\\text{You can't sell a fraction of products, so you need to round it up to the nearest number.}\\n=445

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A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?
krek1111 [17]
Answer:
acceleration = 3 m/s²

Explanation:
From Newton's second law:
Force = mass * acceleration
We are given that:
Force = 6 Newton
mass = 2  kg

Substitute with the givens in the above equation to get the acceleration as follows:
Force = mass * acceleration
6 = 2 * acceleration
acceleration = 6 / 2 = 3 m/s²

Hope this helps :)

8 0
3 years ago
A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.
Hatshy [7]
<h3>Given:</h3>
  • P= $50,000
  • R= 10%
  • T= 5 years
<h3>Note that:</h3>
  • P= Principal amount
  • R= Rate of interest
  • T= Time period
<h3>Solution:</h3>

\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}

Let's substitute according to the formula.

A= 50000(1+ \frac{10}{100}{)}^{5}

<em>A=</em><em> </em><em>$80525.5</em>

Now, we can find the interest paid

\large\boxed{I= A-P}

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

I= 80525.5-50000

<em>I=</em><em> </em><em>$30525.5</em>

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>amount</u><u> </u><u>paid</u><u> </u><u>after</u><u> </u><u>5</u><u> </u><u>years</u><u> </u><u>is</u><u> </u><u>$</u><u>80525.5</u><u> </u><u>and</u><u> </u><u>$</u><u>30525.5</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>as</u><u> </u><u>interest</u><u>.</u>

7 0
2 years ago
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Orlov [11]

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

8 0
2 years ago
Help! worth 31 points plz help and brainliest plz plz all the answers for brainliest!!!!
Paha777 [63]

Answer:

to hard.

Step-by-step explanation:

4 0
2 years ago
.Calculate the average rate of change of f(x) = 3x + 4 on the interval [2, 6]. Select any oth
makvit [3.9K]

Answer:

Average rate of change= 3

Step-by-step explanation:

Recall the definition of average rate of change of a function f(x) in an interval [a,b]:

Average rate of change = \frac{f(b)-f(a)}{b-a}

In your case:

f(x) = 3x+4, and the interval  [a,b] i  [2,6], therefore:

Average rate of change = \frac{f(6)-f(2)}{6-2}=\frac{f(6)-f(2)}{4}

Now we evaluate the function at the two requested points:

f(x)=3x+4\\f(6)=3(6)+4=18+4=22\\f(2)=3(2)+4=6+4=10, then f(6)-f(2)=22-10=12

So finally the Average rate of change is: \frac{f(6)-f(2)}{6-2}=\frac{12}{4} =3

6 0
3 years ago
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