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Allisa [31]
3 years ago
14

In two or more complete sentences explain how you would set up and solve the equation: Dan and Rick belong to different gyms. Da

n’s gym charges $40 per
month and $15 per private training class and Rick’s gym charges $70 per month and $5 per private training class. After how many private training classes will they have paid the same amount for their gym membership?
Mathematics
1 answer:
olga55 [171]3 years ago
7 0
The equation would be 40+15p=70+5p. You would subtract 5p from each side (15-5) and (5-5) and you'll have 40+10p=70. You would then subtract 40 from each side (70-40) and (40-40) to have 10p=30. You would divide by both of the sides by 10, you would end up with p=3. P is price training. The reason you divide and subtract on both sides is because you want the months to be on one side and the price training on the other side.
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Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

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For the circular cover we have:

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Remember that the area of a circle of radius R is given by the formula:

A = pi*R^2

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

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And it must extend 12 inches beyond, then the radius of the cover must be:

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Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

A = 3.14*(11ft)^2 = 379.94 ft^2

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

C = 2*pi*R

Then the length of the rope will be:

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