Exam 2: Review and Applications of Algebra

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The price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.95?

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Solve: 13\frac{1}{3} (x - 2) = 4

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Simplify and collect like terms: 2x1.045−2.016x3+x2\frac{2 x}{1.045}-\frac{2.016 x}{3}+\frac{x}{2}

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Evaluate and calculate to the cent: R[(1+i)n−1i](1+i)R\left[\frac{(1+i)^{n}-1}{i}\right](1+i) for R = $910, i = 0.1038129, n = 4

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What amount is 17.5% more than $29.43?

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The profits from a partnership are to be distributed so that Grace receives 20% more than Kajsa, and Mary Anne receives five-eighths as much as Grace. How much should each receive from a total distribution of $36,000?

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Multiply and collect like terms: 4(3a + 2b)(2b - a) - 5a(2a - b)

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How much is $900 after a decrease of 90%?

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If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales?

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A piece of machinery has depreciated by 55% of its original purchase price during the past 4 years, to the current value of $24,300. What is the dollar amount of the total depreciation during the last 4 years?

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Simplify the following expression: 2.8x2−6.15x1.5−2x2.75\frac{2.8 x}{2}-\frac{6.15 x}{1.5}-\frac{2 x}{2.75}

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Simplify: 1−(1+0.015)−180.015\frac{1-(1+0.015)^{-18}}{0.015}

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The revenue from the sale of hammers?

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Simplify: (1 + i)4 x (1 + i)9

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Evaluate to six-figure accuracy: 0.893-1/2

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Evaluate to six-figure accuracy: (1 + 0.055)1/6 - 1

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Solve for the unknown rounded to the nearest cent. 5x1.06−3+x+x(1.25)4=925\frac{5 x}{1.06^{-3}}+x+x(1.25)^{4}=925

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Evaluate to six-figure accuracy: (23)3(−32)2(−32)−3\left(\frac{2}{3}\right)^{3}\left(-\frac{3}{2}\right)^{2}\left(-\frac{3}{2}\right)^{-3}

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After a 5.25% raise, Johnny earned $19.28 per hour. What was his hourly rate before the raise?

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$100 is 10% less than what amount?

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