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Problem 53

Solve each investment problem. Michelle invested some money at \(4.5 \%\) simple interest and \(\$ 1000\) less than twice this amount at \(3 \%\). Her total annual income from the interest was \(\$ 1020\). How much was invested at each rate?

Problem 53

Express each set in simplest interval form. (Hint: Graph each set and look for the intersection or union.) $$ [3,6] \cup(4,9) $$

Problem 53

In a group of 12 children, 3 are girls. What percent are not girls?

Problem 53

To solve a linear equation with decimals, we usually begin by multiplying by a power of 10 so that all coefficients are integers. What is the least power of 10 that will accomplish this goal in each equation? (a) \(0.05 x+0.12(x+5000)=940\) (b) \(0.006(x+2)=0.007 x+0.009\)

Problem 53

Solve each inequality. Graph the solution set, and write it using interval notation. $$ |-5 x+3|<12 $$

Problem 54

Solve each inequality. Graph the solution set, and write it using interval notation. $$ |-2 x-4|<5 $$

Problem 54

Express each set in simplest interval form. (Hint: Graph each set and look for the intersection or union.) $$ [-1,2] \cup(0,5) $$

Problem 54

Solve each investment problem. Plotr invested some money at \(3.5 \%\) simple interest, and \(\$ 5000\) more than three times this amount at \(4 \%\). He earned \(\$ 1440\) in annual interest. How much did he invest at each rate?

Problem 54

In a flock of 30 geese, 15 are male. What percent are not male?

Problem 54

The expression \(0.06(10-x)(100)\) is equivalent to which one of the following? A. \(0.06-0.06 x\) B. \(60-6 x\) C. \(6-6 x\) D. \(6-0.06 x\)

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