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Jackie C.

High School Math Tutor, Mechanical Engineering Degree

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Pre-Calculus

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Question:

You open up a savings account and deposit $500. Your account earns %12 interest. Using the formula: T = De^(rt) find your balance after 3 years. T = total amount, D = inital deposit, e = base of natural logs, r is the interest rate as a decimal, and t is time in years.

Jackie C.

Answer:

Plugging in $500 for D, 0.12 for r, and 3 for t, T = $716.66.

Calculus

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Question:

If you leave for a trip at 5 pm (t=0) and drive with a velocity: v(t) = 60 - 0.5t miles per hour, where t is measured in hours. How many miles will you have driven at 7 pm?

Jackie C.

Answer:

At 7 pm, t = 2. To find distance you have to integrate the velocity equation = 60t - 0.25t^2 and solve from t - 0 to 2. Plugging in, you get that you would have driven 119 miles.

Algebra

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Question:

You have a box of 40 oranges. You have 3 friends you want to share them with. Divide up the oranges such that the second person has twice as much as the first, and the third has four less than the first person.

Jackie C.

Answer:

the first person is given 11, the second is given 22 and the third is given 7.

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