Tutor profile: Tara M.
5^2 + (-6) * 2(5-8) = ?
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.
15 = 120/2x. Solve for x.
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.
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.
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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