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Marta_Voda [28]
3 years ago
10

Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne

ed to sell to maximize earnings.
Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

Max = 15

Step-by-step explanation:

Given

s(y) = -2y^2 + 60y + 10

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

s(y) = ay^2 + by + c

And the maximum is calculated as:

Max = \frac{-b}{2a} If a<0

Comparing s(y) = ay^2 + by + c to s(y) = -2y^2 + 60y + 10

We have that:

a = -2     b = 60   c = 10

Substitute these values to

Max = \frac{-b}{2a}

Max = \frac{-60}{2 * -2}

Max = \frac{-60}{-4}

Max = 15

<em>The number of item that maximizes the function is when y = 15</em>

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3 years ago
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A 24,000 gallon pool is being filled at a rate of 40 gallons per minute. At this rate how many minutes will it take to fill this
hammer [34]
450 minutes for 18,000 gallons of water.
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3 years ago
Brandon is running errands for his mother.
LiRa [457]

Answer:

As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of  11/12  mile if he goes from his house to the library to the grocery store.

Step-by-step explanation:

As Brandon is

  • 1/4 mile from his house to the library
  • 2/3 mile from the library to the grocery store

Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store

So, adding 1/4 + 2/3 would determine whether he is right or wrong.

Thus, considering the expression

\frac{1}{4}+\frac{2}{3}

\mathrm{Least\:Common\:Multiplier\:of\:}4,\:3:\quad 12

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\frac{1}{4}+\frac{2}{3}=\frac{3}{12}+\frac{8}{12}

         =\frac{3+8}{12}

         =\frac{11}{12}

As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of  11/12  mile if he goes from his house to the library to the grocery store.

Keywords: word problem, LCM, fraction

Learn more about fraction word problem from brainly.com/question/12248068

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Hello There!

Ethan would pay $31.99  or rounded up two 32 which ever is your answer choice 

Thus being why.

if you times 39.99 x .20 you get 7.998

39.99 - 7.998 is 31.99

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7 0
4 years ago
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