Solve the proportions for the unknown quantities. 7 : 2 = 21 : x
> What effect will each of the following have on a firm’s break-even point? In each case, assume that all other variables remain unchanged. 1. Fixed costs decrease. 2. Variable costs increase. 3. Sales volume increases. 4. Unit selling price decreases. 5.
> Once a business is operating beyond the break-even point, why doesn’t each additional dollar of revenue add a dollar to net income?
> What effect will each of the following have on a product’s unit contribution margin? In each case, assume that all other variables remain unchanged. 1. The business raises the selling price of the product. 2. The prices of some raw materials used in manu
> An item is marked down by the same percentage as the rate of markup on selling price. Will the reduced operating profit be positive, negative, or zero? Explain.
> Suppose an item that originally had a 40% rate of markup on cost is marked down 40%. Is its reduced selling price equal to C? Explain.
> Does a retailer break even if an item is sold at the cost C?
> Solve the equations. x + 2 5 = x + 0.8
> Under what unusual circumstance will the rate of markup on cost equal the rate of markup on selling price?
> Is it possible for the rate of markup on cost to exceed 100%? Explain.
> Is it possible for the rate of markup on selling price to exceed 100%? Explain.
> For a given dollar amount of markup, which will be the larger number: the rate of markup on cost or the rate of markup on selling price? Explain.
> If currency R strengthens relative to currency S, will the exchange rate in terms of units of S per unit of R increase or decrease? Explain.
> If currency G weakens relative to currency H, will the exchange rate in terms of units of G per unit of H increase or decrease? Explain.
> If the exchange rate in terms of units of currency P per unit of currency Q increases, which currency weakened? Explain.
> If the exchange rate in terms of units of currency N per unit of currency M decreases, which currency strengthened? Explain.
> If a series of compound percent changes are all negative, is the overall percent decrease larger or smaller (in magnitude) than the sum of the individual percent changes? Justify your answer.
> If a series of compound percent changes are all positive, is the overall percent increase larger or smaller than the sum of the individual percent changes? Justify your answer.
> Solve the equations. 1.25y – 20.5 = 0.5y – 11.5
> Is it possible for a capital loss to be worse than −100%? Explain or give an example.
> Is it possible for the capital gain yield to exceed 100%? Explain or give an example.
> Can the income yield from an investment be negative? Explain or give an example.
> If the percent rate is 0.01%, what fraction is the portion of the base?
> If the percent rate is 1000%, what multiple is the portion of the base?
> What is the percent rate if a quantity is 1 1000 of the base?
> Evaluate: 0 + 3 × 3 − (32 + 10)
> Evaluate: 12 − 2 × 5 + 22 × 0
> Evaluate: 0 + 3 × 3 − 32 + 10
> Evaluate: 2 × (2 + 4) − 8
> Solve the equations. 3 .1t + 145 = 10 + 7.6t
> The introduction of a new product will require an initial investment of $550,000. The annual profit expected from the new product is forecast to be $100,000 for Years 1 to 3, $70,000 for Years 4 to 6, and $50,000 for Years 7 to 12. Should the firm procee
> Evaluate: (10 + 10) × 0
> Evaluate: 2 × 2 + 4 − 8
> Evaluate 10 + 10 × 0
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 50 Discount amount ($) = ? Net price ($) = 120
> Calculate the missing values. List Price ($) = ? Discount rate (%) = ? Discount amount ($) = 20 Net price ($) = 60
> Calculate the missing values. List Price ($) = ? Discount rate (%) = ? Discount amount ($) = 20 Net price ($) = 60
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 25 Discount amount ($) = 50 Net price ($) = ?
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 20 Discount amount ($) = 20 Net price ($) = ?
> Calculate the missing values. List Price ($) = 50 Discount rate (%) = ? Discount amount ($) = ? Net price ($) = 45
> Calculate the missing values. List Price ($) = 200 Discount rate (%) = ? Discount amount ($) = ? Net price ($) = 150
> Solve the equations. 5(2 – c) = 10(2c – 4) – 6(3c + 1)
> Calculate the missing values. List Price ($) = 900 Discount rate (%) = 25 Discount amount ($) = ? Net price ($) = ?
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 10 Discount amount ($) = ? Net price ($) = 900
> Calculate the missing values. List Price ($) = 300 Discount rate (%) = 33 13 Discount amount ($) = ? Net price ($) = ?
> Mr. and Mrs. Bond pay their three children allowances that are proportional to their ages. If their children’s ages are in the ratio 1 : 2 : 6 how much should the youngest and oldest children get as an allowance if the middle child gets $5.00 a week?
> A recipe for pasta sauce makes 6 servings with 3 cups of crushed tomatoes. How many cups of tomatoes would be needed to make 2 servings?
> Solve the proportions for the unknown quantities. m : 3 = 1 2 : 1 4
> Solve the proportions for the unknown quantities. 5 : 15 : 50 = 3 : j : k
> Solve the proportions for the unknown quantities. 3 : z = 1.5 : 4
> Express ratios as an equivalent ratio whose smallest term is 1. 3 2 : 1 4
> Solve the equations. 10a + 10 = 12 + 9a
> Express ratios as an equivalent ratio whose smallest term is 1. 35 : 7 : 77
> Express ratios as an equivalent ratio whose smallest term is 1. 25 : 2.5
> Express ratios in its lowest terms. 1 3 : 1 9
> Express ratios in its lowest terms. 1 2 : 1 4
> Express ratios in its lowest terms. 0.2 : 2 : 0.02
> Express ratios in its lowest terms. 0.2 : 0.8
> Express ratios in its lowest terms. 20 : 4 : 36
> Lalita owns a 4-kg Chihuahua, a 28-kg Poodle, and a 48-kg German Shepherd. What is the ratio for the weights of the Poodle to the Chihuahua to the German Shepherd?
> A recipe for macaroni and cheese calls for 3 cups of macaroni and 1.5 cups of cheese for 6 servings. Write the ratio for servings to cheese to macaroni.
> Express ratios in its lowest terms. 5 : 75
> Evaluate expressions to six-figure accuracy. 1.03 3
> Calculate the missing values: Initial value = ? Final Value = $50 Percent change = 100
> Calculate the missing values: Initial value = $400 Final Value = ? Percent change = -50
> Calculate the missing values: Initial value = 300 cm Final Value = ? Percent change = 200
> Calculate the missing values: Initial value = 80 g Final Value = ? Percent change = 50
> Calculate the missing values: Initial value = $200 Final Value = ? Percent change = -25
> Calculate the missing values: Initial value = 50 kg Final Value = 0 kg Percent change = ?
> Calculate the missing values: Initial value = 25 kg Final Value = 75 kg Percent change =?
> Calculate the missing values: Initial value = $100 Final Value = $90 Percent change = ?
> Calculate the missing values: Initial value = ? Final Value = $300 Percent change = -50
> Calculate the missing values: Initial value = $100 Final Value = $110 Percent change = ?
> Evaluate expressions to six-figure accuracy. (1.005)3 (1.005)–6
> Simplify: (t6)1/3
> Simplify: (y3)3
> Simplify: (x4)7
> Simplify: (1 + i) × (1 + i)n
> Simplify: (1 + i)4 × (1 + i)9
> Simplify: h7 ÷ h–4
> Simplify: b10 ÷ b6
> Simplify: (x6)(x–4)
> Simplify: ( − r 3 ) ( 2 r ) 4 ( 2 r − 2 ) 2
> Simplify: 4 r 5 t 6 ( 2 r 2 t ) 3
> Evaluate expressions to six-figure accuracy. (1.0085)5 (1.0085)3
> Simplify: ( 1 + i 3 i ) 3
> Simplify: [2(1 + i)]2
> Simplify: ( x 5 ) 6 x 9
> Simplify: ( x 5 ) ( x 6 ) x 9
> Simplify: (n0.5)8
> Simplify: a2 × a3
> Simplify and collect the like terms. 2(7x – 3y) – 3(2x – 3y)
> Simplify and collect the like terms. (7m3 – m – 6m2 + 10) – (5m3 – 9 + 3m – 2m2)
> Simplify and collect the like terms. (6x2 – 3xy + 4y2) – (8y2 – 10xy – x2)
> Simplify and collect the like terms. 1 – (7e2 – 5 + 3e – e3)
> Evaluate expressions to six-figure accuracy. 0.893–1/2
> Simplify and collect the like terms. 4x2y + (–3x2y) – (–5x2y)
> Simplify and collect the like terms. (5s – 2t) – (2s – 4t)
> Simplify and collect the like terms. 4x2y – 3x2y + (–5x2y)
> Perform the multiplication or division indicated and collect the like terms. (4r – 3t) – (2t + 5r)
> Perform the multiplication or division indicated and collect the like terms. (3p2 – 5p)(–4p + 2)
