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Tara M.

Supplemental Instruction Leader for 3 years, Tutor in various subjects for 4 years

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Pre-Algebra

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Question:

5^2 + (-6) * 2(5-8) = ?

Tara M.

Answer:

For this type of equation, we have to remember the order of the rules: Parenthesis Exponents Multiplication Division Addition Subtraction. Following these rules, the first thing we do is the parenthesis (5-8) which equals -3. So now the equation reads 5^2 + (-6) * 2(-3) = ?. Now we must look at the exponents. 5^2 gives us 5*5, or 25. Now the equation is 25 + (-6) * 2(-3). Now we multiply. 2 * -3 gives us -6. -6 * -6 gives us +36, remembering that when you multiply two negatives, they equal a positive. This problem now reads 25 + 36. Adding these numbers together, we get 61 as our answer.

Algebra

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Question:

15 = 120/2x. Solve for x.

Tara M.

Answer:

To begin the problem, we want to get x on one side of the equation and out of the denominator. To do this, we will multiply everything by 2x. This now gives us 30x = 120. To get x by itself, we divide the problem by 30. This gives us x = 4.

Accounting

TutorMe

Question:

Apple earned $800,000 last year. The company had 12,000 shares of common stock on January 1, sold 3,000 shares on June 1 and sold 5,000 more shares of September 1. Calculate the Earnings Per Share for Apple.

Tara M.

Answer:

The earnings per share equation is net income divided by the weighted average number of shares, or: Net Income/ (Weighted Average Number of Shares) The problem tells us that net income is $800,000. To find the weighted average number of shares we have to consider the following: The company began the year with 12,000 shares and had that amount of shares until June 1, or for 5 out of 12 months. Starting June 1 they had 15,000 cumulative shares. They had 15,000 shares for 3 out of 12 months. On September 1 they sold 5,000 more shares, totaling 20,000 shares. They had 20,000 for the rest of the year, or 4 out of 12 months. From this information you can figure out the denominator of the equation. (12,000*5/12) + (15,000*3/12) + (20,000*4/12) = 5,000 + 3,750 + 6,666.67 = 15,416.67 Net Income/ (Weighted Average Number of Shares) = 800,000/15,416.67 = $51.89 earnings per share

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