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alisha [4.7K]
2 years ago
14

Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for his customers. He also charg

es a one-time fee of 50 gold pieces for his initial consultation. The total number G of gold pieces Bob charges is a function of x, the number of magical brooms he makes. Write the function's formula.
Mathematics
2 answers:
tigry1 [53]2 years ago
5 0

Answer:

y= 125x + 5o

Step-by-step explanation:

Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.

Svetllana [295]2 years ago
5 0

Answer:

f(x)=125g+50

Step-by-step explanation:

He is charging $125 for each gold piece so you would multiply “g” and 125.

You would add 50 as a one time fee so you add 50.

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Tim and Jim are working on a school project together. If he had to work by himself, it would take
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Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, \dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}

\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6

So, it will take<u> 6 hours</u> to complete the school project together .

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2 years ago
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35
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So for this, this can be written into the equation y=50x+35 (x = number of months, y = total cost).

To solve this problem, we need to plug in 1325 into the y-variable and solve from there.

1325=50x+35

Subtract 35 on each side to get 1290=50x

Then just divide by 50 on each side, and your answer should be 25.8=x


And because we cannot go past budget, we will have to round down to 25. In context, the maximum amount of months Abbey can do is 25 months.
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To pass inspection, a machine part from a factory must be no thinner than 4.225 centimeter and no thicker than 4.233 centimeters
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Machine should abide by te following:


4.225<Machine<4.233  The margin of acceptance
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4.233-4.225 = 0.008cm.


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Part 1:

The table showing the decreasing debt is shown as follows:

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The column for interest accrued is obtained by the folmular

I=P(1+0.155)^{\frac{1}{12}}

where P is the month's starting balance.



Part 2:

From the table, the last payment is $138.51



Part 3:

The total amount paid by the time the credit card is payed of is the summation of the "payment" column of the table.

Thus, the total amount is given by:

Payment\ total=2(400)+5(200)+138.51=\$1,938.51



Part 4:

The debt ratio is given by

Debt\ ratio= \frac{debt}{limit} = \frac{1,853.42}{3,000} \approx0.62
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A relationship between a set of inputs

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