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zhuklara [117]
3 years ago
14

Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is of

fering her service for an initial $600 in addition to $50 per hour. Till how many hours company B will be cheaper option for him?
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

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The values coming in the interval (-3,1] are -2, -1, 0, and 1.

<h3>What is defined as the term interval notations?</h3>
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The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are  -2, -1, 0, and 1.

To know more about the interval notations, here

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uranmaximum [27]

Answer: 890.12 cm^3

Step-by-step explanation:

The formula for the volume of a cylinder is

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or simply

V=628.32 cm^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

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V=890.12 cm^3

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