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rosijanka [135]
3 years ago
15

The students who run the school store ordered 1440 pencils. They are putting them in packages of 6 pencils. About how many packa

ges can they make? Will the exact answer be more or less than the estimate? Explain
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Well I don't get what the other parts of the question is asking, but they can make 240 packs of pencils.

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What is the exact volume of this cone?
Studentka2010 [4]

Answer:

  (b)  80/3π in³

Step-by-step explanation:

The volume of a circular cone is given by ...

  V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height

Your cone has r = 4 inches and h = 5 inches, so its volume is ...

  V = (1/3)π(4 in)²(5 in) = 80/3π in³

The volume of the cone is exactly (80/3)π cubic inches.

5 0
2 years ago
A dozen donuts cost $2.99. To the nearest cent, what is the cost of 1 donut?
kozerog [31]

Answer

25 cents

Step-by-step explanation:

4 0
2 years ago
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3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide
Blizzard [7]

Answer:

  • $274.22 per month
  • $2071.92 in total interest
  • $433.48 more per month
  • $1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

  $274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

  $9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

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c) Changing the time period to 1 year gives the payment value ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

  $707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

  $707.70×12 -7800 = $692.40

The difference in interest amounts is ...

  $2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0
3 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
Licemer1 [7]

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
2 years ago
3 folders cost $2.91 which equation would help determine the cost of 2 folders
eimsori [14]

Answer:

The equation that will determine the cost of two folders is;  3x = 2× $2.91

and  the cost of  the 2 folders is $1.94

Step-by-step explanation:

To solve this problem, we will follow the steps below;

Using proportion;

Let x be the cost of 2 folders

3 folders = $2.91

2 folders  =  x

Cross-multiply

3x = 2× $2.91

The equation that will determine the cost of two folders is

3x = 2× $2.91

We can go ahead and solve

3x = $5.82

Divide both-side of the equation by 3

\frac{3x}{3}  =  \frac{5.82}{3}

x = $ 1.94

The cost of 2 folders is $1.94

5 0
3 years ago
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