Mixed Algebra Questions
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1. Insurance settlement. Gary invested one-third of his insurance settlement in a CD that yielded 12%. He also invested one-third in Tara's computer business. Tara paid Gary 15% on this investment. If Gary's total income from these investments was $10,800 for 1 year., then what was the amount of his insurance settlement?
2. Toy sales. In 2003 Toys r Us and Wal-Mart together held 38% of the toy market share. If the market share for Toys r Us was 4 percentage points lower than the market share for Wal-Mart then what was the market share for each company?
3. Mixed nuts. Cashews sell for $1.20 per quarter pound and Brazil nuts sell for $1.50 per quarter pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to get a mix that sells for $1.30 per quarter pound?
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Solution Summary
This solution provides steps necessary to determine the answers to the mixed algebra questions.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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