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mathematics
business mathematics in canada 10th
Questions and Answers of
Business Mathematics In Canada 10th
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.
A retailer obtains a product at a unit cost of $51.30 and sells it for $79.90. Determine:a. The rate of markup on cost.b.The rate of markup on selling price.
Under what unusual circumstance will the rate of markup on cost equal the rate of markup on selling price?
a. Mirabai's income tax rate on additional income is 42%. She has just received a wage increase of $1.25 per hour. What is her after-tax increase in hourly pay?b. Shiras tax rate on additional income
Calculate the missing values.
Calculate the missing values.
On March 26, Silke received an invoice in the amount of $5445, dated March 23, with terms 3/10, l½/20, n/60. What payment on April 13 will settle the invoice?
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.
Use the currency exchange rates in Table 3.2 to calculate the equivalent amounts of currencies.Table 3.2:
To gain an impression of how important and how widespread is the use of ratios in business and finance, see how many million matches you get when you “Google” on the key words:(i) “financial”
Express each of the following ratios in its lowest terms.
Solve each of the following pairs of equations to three-figure accuracy. Verify your solution in each case.
Evaluate each of the following expressions to six-figure accuracy.
Evaluate each of the following expressions to six-figure accuracy.73/2
Simplify each of the following.
Simplify each of the following.[2(1 +i)]2
Simplify each of the following.
Simplify each of the following.(n0.5)8
Simplify each of the following.
Simplify each of the following.(t6)1/3
Simplify each of the following.(y3)3
Simplify each of the following.(x4)7
Simplify each of the following.(1 + i) × (1 + i)n
Simplify each of the following.(1 + i)4 × (1 + i)9
Simplify each of the following.h7 ÷ h−4
Simplify each of the following.b10 ÷ b6
Simplify each of the following.(x6)(x−4)
Simplify each of the following.a2 × a3
Evaluate each of the following expressions for the given values of the variables.L(1 − d1)(l − d2)(l − d3) for L = $490, d1 = 0.125, d2 = 0.15, d3 = 0.05
Evaluate each of the following expressions for the given values of the variables.for r = 0.095, I = $23.21, t = 283/365
Evaluate each of the following expressions for the given values of the variables.15g − 9h + 3 for g = 14, h = 15
Perform the multiplication or division indicated in each of the following expressions and collect the like terms.
Perform the multiplication or division indicated in each of the following expressions and collect the like terms.
Simplify each of the following and collect the like terms.4(α2 − 3α − 4) − 2(5α2 − α − 6)
Simplify each of the following and collect the like terms.2(7x − 3y) − 3(2x − 3y)
In what circumstance should you calculate a weighted average instead of a simple average?
Allison's regular hourly rate of pay is $17.70. She is paid time and a half for all work on weekends and for any time over 7.5 hours on weekdays. Calculate her gross earnings for a week in which she
Calculate dollar amounts accurate to the cent and percent amounts to three-figure accuracy.What percent is $1.50 of $11.50?
Calculate dollar amounts accurate to the cent and percent amounts to three-figure accuracy.Calculate 1.75% of $350.
The following fractions and mixed numbers have repeating decimal equivalent forms. Express their decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number
The following fractions and mixed numbers have terminating decimal equivalent forms. Express their decimal and percent equivalent forms to five-figure accuracy.
The following fractions and mixed numbers have terminating decimal equivalent forms. Express their decimal and percent equivalent forms to five-figure accuracy.
If a time period of approximately five years is to be calculated to the nearest month, what minimum number of figures must be retained in the numbers used in the calculations?
If an interest rate (which could be greater than 10%) is to be calculated to the nearest 0.01%, what minimum number of digits must be retained in the numbers used to calculate the interest rate?
If a final result of the order of five million dollars is to be accurate to the nearest dollar, what minimum number of figures must be retained in the calculations?
For a final result of approximately $7000 to be accurate to the cent, what minimum number of figures must be retained in the values used in the calculations?
If you want four-figure accuracy in your final result, what minimum number of figures must be retained in the values used in the calculations?
Evaluate each of the following.
Evaluate each of the following.
Evaluate each of the following.5 + (32 − 3)2 ÷ (9 + 3)
Evaluate each of the following.(54 − 36) ÷ (4 + 2)2
Evaluate each of the following.(5 + 3)2 − 32 ÷ 9 + 3
Evaluate each of the following.54 − 36 ÷ 4 + 22
Evaluate each of the following.(18 ÷ 3 + 6) × 2
Evaluate each of the following.20 − (4 × 2 − 8)
Evaluate each of the following.18 ÷ (3 + 6) × 2
Evaluate each of the following.(20 − 4) × 2 − 8
Evaluate each of the following.18 ÷ 3 + 6 × 2
Evaluate each of the following.20 − 4 × 2 − 8
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
What percent of $6.39 is $16.39?
Perform the multiplication or division indicated in each of the following expressions and collect the like terms.6a 2b − 2a b21. aa.x2 y − xy 2x y2. bb.− 4 x + 10 x2 − 6 x3 − 0.5 x3. cc.12
Solve each of the following pairs of equations using either the substitution or elimination methods. Verify your solution in each case.3 x − 2 y = 6 y = x − 1
Solve each of the following pairs of equations using either the substitution or elimination methods. Verify your solution in each case.4x + y = 5 2x − 3y = 13
3 4 % of $ 133. 33 ¯ is what amount?
How many minutes is 12.5% of two hours?
Six different brands compete in the same Canadian market and their sales for 2018 and 2019 are shown in the following table. Calculate the market share for each brand for both 2018 and 2019. Brand a.
Fassbender Industries tracks the annual sales from each of its six divisions to help evaluate performance and plan budgeting for the following year. Calculate the market share (divisional share) for
Solve each of the following pairs of equations using either the substitution or elimination methods. Verify your solution in each case.g - h = 17 4 / 3 g + 3 / 2 h = 0
80% of what amount is $100?
3 4 % of what amount is $1.00?
The home gym equipment industry in Canada had annual sales of $862.4M in 2019. Sales in the industry saw a slight decline of 2.5% in 2020. Sales for the top selling brands for the past two years are
$150 is 200% of what amount?
450 grams is what percentage of 2 kg?
Calculate dollar amounts accurate to the cent and percent amounts to three-figure accuracy.12 3 4 % of what amount is $27.50?
$100 is what percent more than $90?
Calculate dollar amounts accurate to the cent and percent amounts to three-figure accuracy.130 1 2 % of $455 is what amount?
$75 is 75% more than what amount?
How much is $75 after an increase of 75%?
$100 is 10% less than what amount?
Is it possible for the rate of markup on selling price to exceed 100%? Explain.
$750 is what percent more than $250?
Graph each of the equations in Problems.−2x + y = 0 over the range x = −3 to x = 6
A 540-mL can of K-9 Diet dog food contains 28% protein, 15.5% fat, and 6% fibre.a. How many millilitres of other ingredients are there in the can?b. The recommended serving for a small dog is 5 8 of
Graph each of the equations in Problems.y = 4.5x + 5000 over the range x = 0 to x = 6000
Determine the x-intercept and y-intercept of each of the following equations.a. 5x + 25y – 15 = 0b. 0 = 63 – 7x + 21yc. 13x = 35yd. 11x + 110 = 22y
Graph each of the equations in Problems.−2x + y = 4 over the range x = −3 to x = 6
Graph each of the equations in Problems.2x + y = 4 over the range x = −3 to x = 6
Graph each of the equations in Problems.y = 60x + 6000 over the range x = 0 to x = 50
Determine the r-intercept and s-intercept of each of the following equations.a. 10r – 4s = 20b. 3r + 4s –12 = 0c. 15 – 3r = 20sd. 7r = 9s
Use the graphical method to solve each of the following pairs of equations.4a − 3b = −3 5a - b = 10
Kathleen has a $560 loan payment due in five months. What amount of money should she be able to pay today if the interest on her loan is 3 3 4 % per annum?
Payments of $500 originally scheduled to be paid today and $300 originally scheduled to be paid three months from today are to be replaced with a single payment six months from today. Calculate the
If short-term interest rates have increased during the past week, will investors pay more this week (than last week) for T-bills of the same term and face value? Explain.
If short-term interest rates do not change, what happens to a particular T-bill’s fair market value as time passes?
Calculate T-bill and commercial paper prices accurate to the nearest dollar and rates of return accurate to the nearest 0.001%.Calculate and compare the issue-date prices of $100,000 face value
A high-rate savings account pays interest of 3.05%. Interest is calculated on the daily closing balance and paid at the close of business on the last day of the month. A depositor had a $7255 opening
Determine the legal due date for:a. A five-month note dated September 29, 2019.b. A 150-day note issued September 29, 2019.
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