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Kryger [21]
3 years ago
12

(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clo

thes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?
Mathematics
2 answers:
Rasek [7]3 years ago
7 0

Answer:

362 trust

Step-by-step explanation:

5x50=225

14x8=112

225+111=362

svp [43]3 years ago
7 0

Answer:

12 hours

Step-by-step explanation:

So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:

5h + 50

to represent how much Jim makes in h hours.

Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:

8h + 14

to represent how much Sarah makes in h hours.

Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:

8h + 14 = 5h + 50

Now solve for h. Subtract 5h from both sides.

3h + 14 = 50

Subtract 14 from both sides.

3h = 36

Divide both sides by 3.

h = 12

So it will take 12 hours for their paychecks to be the same.

I hope you find my answer and explanation to be helpful. Happy studying.

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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
What is 9x-7y=-7 in slope intercept form?
Novay_Z [31]
Slope intercept form is y = mx + b

So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
       9x - 7y =      -7
       -9x          -9x

Now you have -7y = -9x -7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y.  In this case divide every term by -7
    -<u>7y</u> =  <u>-9x</u>  <u>-7</u>
      -7      -7   -7

That leaves you with: y = 9x/7 + 1


4 0
3 years ago
The ratio of blueberries and strawberries is 1:7. If there are 210 strawberries how many blueberries are there?
Travka [436]

Answer:

There are 30 blue berries

Step-by-step explanation:

1:7

_:210

210/7

30

7 0
3 years ago
Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq
iren [92.7K]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0
3 years ago
Francisco invested 5,000 into an account that earns 3% compounded quarterly. How many times will Francisco earn interest after k
suter [353]

Answer:Amount = 10,002.21



Step-by-step explanation:4 x 5 = 20 times


2.-

Principal = 5,000

Interest rate per yr = 3%

Compounded times per yr = 4

Time in years = 5


The formula is amt = p*(1 + r/n) ^ (n*t),

thus

Amount = 5,805.92


3.-

If Time in years = 23.2

then

Amount = 10,002.56


4.-

Principal = 5,000.00

Interest rate per yr = 5.82%

Compounded times per yr = 4

Time in years = 12




5 0
3 years ago
Read 2 more answers
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