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BaLLatris [955]
1 year ago
12

When Joseph first starts working at a grocery store, his hourly rate is \$10$10dollar sign, 10. For each year he works at the gr

ocery store, his hourly rate increases by \$0.50$0.50dollar sign, 0, point, 50. Joseph's hourly rate RRR, in dollars, is a function of ttt, the number of years he works at the grocery store. Write the function's formula.
Mathematics
1 answer:
morpeh [17]1 year ago
3 0

Answer:

R(t)=10+0.50t

Step-by-step explanation:

Let t represent the number of years.

We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.

For each year he works at the grocery store, his hourly rate increases by $0.50. Increase in hourly rates after t years would be 0.50t

The hourly rates after t years will be 10 plus 0.50t.

We can represent this information in an equation as:

R(t)=10+0.50t

Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.

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What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?
Paraphin [41]

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


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2 years ago
Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
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A. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,

    N = (2)(n/10)

Simplifying,

<em>   N = n/5</em>

b. If the number of boards are 90 then,

     N2 = (90/10)(2)(100 nails/box)
     N2 = 1800

Answer: 1800
7 0
2 years ago
Read 2 more answers
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
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Answer:

Option B.

Step-by-step explanation:

It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.

RT is altitude on side SQ, ST=9, TQ=16 and SR=x.

In ΔSRQ and ΔSTR,

m\angle S=m\angle S           (Reflexive property)

m\angle R=m\angle T           (Right angle)

By AA property of similarity,

\triangle SRQ\sim \triangle STR

Corresponding parts of similar triangles are proportional.

\dfrac{SR}{SQ}=\dfrac{ST}{SR}

Substitute the given values.

\dfrac{x}{9+16}=\dfrac{9}{x}

\dfrac{x}{25}=\dfrac{9}{x}

On cross multiplication we get

x^2=25\times 9

x^2=225

Taking square root on both sides.

x=\sqrt{225}

x=15

The value of x is 15. Therefore, the correct option is B.

7 0
2 years ago
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Juliette spends $6.12 at the store. Morgan spends 3 times as much ad Juliette. Jonah soends $4.29 more than Morgan. How much mon
sladkih [1.3K]
$22.65 is the answer to your question
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2 years ago
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Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work
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Anita can clean 1/8 portion of the pool in 1 hour

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Therefore, it will take both of the working together 1/(7/24) = 24/7 or 3 3/7 hours to clean a typical pool.
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