Math - Others Questions

ok t int ences Sunn Company manufactures a single product that sells for 104 per unit and whose variable costs are 127 per unit The company s annual fixed costs are 622 000 The sales manager predicts that next year s annual sales of the company s product will be 39 200 units at a price of 192 per unit Variable costs are predicted to increase to 132 per unit but fixed costs will remain at 622 000 What amount of income can the company expect to earn under these predicted changes Prepare a contribution margin income statement for the next year SUNN COMPANY Contribution Margin Income Statement per unit Contribution margin Units Check m

5 Sunn Company manufactures a single product that sells for 110 per unit and whose variable costs are 88 per unit The company s annual fixed costs are 308 000 Management targets an annual income of 550 000 S eBook Hint Print eferences 1 Compute the unit sales to earn the target income Numerator 1 1 Denominator 2 Compute the dollar sales to earn the target income Numerator 1 1 Denominator Units to Achieve Target Units to achieve target Dollars to Achieve Target Dollars to achieve target Check m

Disposal of fixed asset Equipment acquired on January 6 at a cost of 187 700 has an estimated useful life of 8 years and an estimated residual value of 24 500 a What was the annual amount of depreciation for Years 1 3 using the straight line method of depreciation Year Depreciation Expense Year 1 20 400 V Year 2 20 400 Year 3 20 400 b What was the book value of the equipment on January 1 of Year 4 126 500 Feedback Check My Work c Assuming that the equipment was sold on January 3 of Year 4 for 120 200 Journalize the entry to record the sale If an amount box does not require an entry leave it blank January 3 Cash Accumulated Depreciation Equipment Loss on Sale of Equipment Equipment Feedback Check My Work 120 200 61 200 6 300 187 700 d Assuming that the equipment had been sold on January 3 of Year 4 for 129 000 instead of 120 200 journalize the entry to record the sale If an amount box does not require an entry leave it

Dexter Industries purchased packaging equipment on January 8 for 81 900 The equipment was expected to have a useful life of 3 years or 20 000 operating hours an a residual value of 4 500 The equipment was used for 7 600 hours during Year 1 6 000 hours in Year 2 and 6 400 hours in Year 3 Required 1 Determine the amount of depreciation expense for the 3 years ending December 31 by a the straight line method b the units of activity method and c the double declining balance method Also determine the total depreciation expense for the 3 years by each method Do not round intermediate calculations when determining the depreciation rate Round the final answers for each year to the nearest whole dollar Depreciation Expense Units of Activity Method Straight Line Method Year Year 1 Year 2 Year 3 Total 2 What method yields the highest depreciation expense for Year 1 Double declining balance method Double Declining Balance Method the most depreciation over the 3 year life of the equipment

A diesel powered tractor with a cost of 250 040 and an estimated residual value of 4 400 is expected to have a useful operating life of 89 000 hours During April the tractor was operated 100 hours Determine the depreciation for the month If required carry out any division to two decimal places 600 X Feedback Check My Work Units of activity method allocates the cost of the asset equally over the hours operated The depreciation rate stays constant

A building acquired at the beginning of the year at a cost of 95 200 has an estimated residual value of 4 800 and an estimated useful life of four years Determine t following a The double declining balance rate 47600 X b The double declining balance depreciation for the first year Feedback 0 25 X Check My Work The double declining rate is two times the straight line rate When the double declining balance method is used the estimated residual value is not considered

Disposal of fixed asset Equipment acquired on January 6 at a cost of 187 700 has an estimated useful life of 8 years and an estimated residual value of 24 500 a What was the annual amount of depreciation for Years 1 3 using the straight line method of depreciation Year Depreciation Expense Year 1 Year 2 Year 3 b What was the book value of the equipment on January 1 of Year 4 Feedback Check My Work c Assuming that the equipment was sold on January 3 of Year 4 for 120 200 journalize the entry to record the sale If an amount box does not require an entry leave it blank January 3 Cash Accumulated Depreciation E Loss on Sale of Equi Equipmen Feedback Check My Work d Assuming that the equipment had been sold on January 3 of Year 4 for 129 000 instead of 120 200 journalize the entry to record the sale If an amount box does not require an entry le

1 Sunn Company manufactures a single product that sells for 135 per unit and whose variable costs are 108 per unit The company s annual fixed costs are 440 100 oints eBook Hint Print References a Compute the company s contribution margin per unit Contribution margin b Compute the company s contribution margin ratio 1 Numerator c Compute the company s break even point in units 1 Numerator 1 Numerator Denominator Denominator d Compute the company s break even point in dollars of sales 1 1 Denominator Contribution Margin Ratio Contribution margin ratio Break Even Units Break even units Break Even Dollars Break even dollars Check my world

Straight line depreciation A refrigerator used by a wholesale warehouse has a cost of 83 700 an estimated residual value of 6 900 and an estimated useful life of 8 years What is the amount of the annual depreciation computed by the straight line method

B es Henna Company produces and sells two products Carvings and Mementos It manufactures these products in separate factories and markets them through different channels They have no shared costs This year the company sold 47 000 units of each product Income statements for each product follow Sales Variable costs Contribution margin Fixed costs Income Required 1 Compute the break even point in dollar sales for each product Note Enter CM ratio as percentage rounded to 2 decimal places Contribution Margin Ratio Numerator Break Even Point in Dollars Numerator 1 Mementos 813 100 Carvings 813 100 487 860 325 240 81 310 731 790 600 790 194 240 131 000 131 000 1 1 PRODUCT CARVINGS Denominator Denominator Contribution margin ratio Break even point in dollars Chec

Depreciation by units of activity method A diesel powered tractor with a cost of 250 040 and an estimated residual value of 4 400 is expected to have a useful operating life of 89 000 hours During April the tractor was operated 100 hours Determine the depreciation for the month If required carry out any division to two decimal places

Partial year depreciation Equipment acquired at a cost of 71 000 has an estimated residual value of 4 000 and an estimated useful life of 10 years It was placed in service on October 1 of the current fiscal year which ends on December 31 When required round your answers to two decimal places a Determine the depreciation for the current fiscal year and for the following fiscal year by the straight line method Year 1 Year 2 Year 1 Depreciation b Determine the depreciation for the current fiscal year and for the following fiscal year by the double declining balance method Year 2 Depreciation

Equipment was acquired at the beginning of the year at a cost of 41 250 The equipment was depreciated using the double declining balance method based or estimated useful life of ten years and an estimated residual value of 800 a What was the depreciation for the first year b Assuming the equipment was sold at the end of year 2 for 9 530 determine the gain or loss on the sale of the equipment Loss Feedback Check My Work c Journalize the entry on December 31 to record the sale If an amount box does not require an entry leave it blank December 31 Cash Accumulated Depreciation Equipment Loss on Sale of Four

Straight line depreciation A building acquired at the beginning of the year at a cost of 66 600 has an estimated residual value of 2 600 and an estimated useful life of 10 years Determine the following a The depreciable cost b The straight line rate c The annual straight line depreciation

8 3 points eBook Hint Print References Harrison Company expects to sell 130 000 units of its product next year which would generate total sales of 10 140 000 Management predicts that income for next year will be 1 180 000 and that the contribution margin per unit will be 32 Complete the below table to calculate the next year s expected variable costs and fixed costs HARRISON COMPANY Forecasted Contribution Margin Income Statement Units per unit Contribution margin 130 000 32 Check my

A truck acquired at a cost of 365 000 has an estimated residual value of 20 350 has an estimated useful life of 61 000 miles and was driven 5 500 miles during t year Determine the following If required round your answer for the depreciation rate to two decimal places a The depreciable cost b The depreciation rate c The units of activity depreciation for the year per mile

2 k ces Astro Company sold 21 000 units of its only product and reported income of 84 800 for the current year During a planning session for next year s activities the production manager notes that variable costs can be reduced 48 by installing a machine that automates several operations To obtain these savings the company must increase its annual fixed costs by 152 000 Total units sold and the selling price per unit will not change ASTRO COMPANY Contribution Margin Income Statement For Year Ended December 31 Sales 52 per unit Variable costs 44 per unit Contribution margin Fixed costs Income 1 Compute the break even point in dollar sales for next year assuming the machine is installed Note Round your answers to 2 decimal places Contribution margin Contribution Margin Ratio Numerator 1 1 1 092 000 924 000 168 000 83 200 84 800 Denominator Break even point in dollar sales with new machine Per unit Contribution Margin Ratio Contribution margin ratio CH

13 S Book Hint Print erences Handy Home sells windows 80 of sales and doors 20 of sales The selling price of each window is 270 and of each door is 640 The variable cost of each window is 160 and of each door is 420 Fixed costs are 699 600 1 Compute the weighted average contribution margin Weighted average contribution margin 2 Compute the break even point in units using the weighted average contribution margin Numerator 1 1 Denominator 3 Compute the number of units of each product that will be sold at the break even point Windows units Break Even Units Break Even Units Check

1 point Suppose a line is given parametrically by the equation Then the vector and point that were used to define this line were V p L t 0 2t 3 3t and

Previous Problem Problem List Next Problem Entered 4i 4j 8k 4i 4j 41 4j 9k 16i 12j 12k At least one of the answers above is NOT correct Answer Preview 4i 4j 8k W 4i 4j 4i 4j 9k 16i 12j 12k Result correct incorrect incorrect incorrect Below is a diagram of the dotted cube with edges of length 4 Suppose vectors u 4 0 0 v 0 4 0 and w 0 0 4 Find the following vectors

When Brett Kavanaugh was nominated to be a Supreme Court justice a survey of 1124 Americans showed that 51 1 of them disapproved of Kavanaugh A newspaper published an article with this headline Majority of Americans Disapprove of Kavanaugh Use a 0 10 significance level to test the claim made in that headline Use the P value method Use the normal distribution as an approximation to the binomial distribution Let p denote the population proportion of all Americans who disapproved of Kavanaugh Identify the null and alternative hypotheses Ho P H P Type integers or decimals Do not round

Assigm8 Problem 21 1 point Give a vector parametric equation for the line through the point 4 1 1 that is parallel to the line 4 4t 4 4t 5t 5 L t

Find the chromatic number of each of the graphs given below I 3

The price of a home is 270 000 The bank requires a 5 down payment The home is financed with a 20 year mortgage at 7 Payment 172 nxt 1 1 1 11 Find a down payment b amount of mortgage c monthly payment d total cost of interest over 20 years Round answers to the nearest cent a down payment 13 500 b amount of mortgage 256 500 c monthly payment 1988 64 d total cost of interest over 20 years 477273 60 a down payment 13 500 b amount of mortgage 256 500 c monthly payment 624 04 d total cost of interest over 20 years 477273 60 a down payment 13 500

The price of a home is 270 000 The bank requires a 5 down payment The home is financed with a 20 year mortgage at 7 Payment 1 P O 11 nxt Find a down payment b amount of mortgage c monthly payment d total cost of interest over 20 years Round answers to the nearest cent a down payment 13 500 b amount of mortgage 256 500 c monthly payment 1988 64 d total cost of interest over 20 years 477273 60 a down payment 13 500 b amount of mortgage 256 500 c monthly payment 624 04 d total cost of interest over 20 years 477273 60

Line Tollowing information applies to the questions displayed below j Dengo Company makes a trail mix in two departments Roasting and Blending Direct materials are added at the beginning of each process and conversion costs are added evenly throughout each process The company uses the FIFO method of process costing October data for the Roasting department follow Beginning work in process inventory Units started and completed Units completed and transferred out Ending work in process inventory Beginning work in process inventory Costs added this period Direct materials Conversion Total costs to account for Units 3 100 Cost per equivalent unit of production Cost of beginning work in process Equivalent units of production 19 300 22 400 2 500 252 880 1 107 594 Direct Materials Conversion Percent Percent Complete Complete 30 100 Materials 100 121 150 1 360 474 1 481 624 2 Compute cost per equivalent unit of production for both direct materials and conversion 70 Conversion Check my work

5 The following graph shows the number of car accidents occurring in one city in each 2007 etc The number of of the years 2006 through 2011 Year 1 2006 Year 2 accidents dropped in 2008 after a new speed limit was imposed Number of accidents 120 110 100 90 80 70 60 1 2 3 4 Year How is the bar graph misleading 5 6

Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 35 minutes Assume that a simple random sample has been selected Use a 0 05 significance level Compare the sample mean to the claimed mean of 35 minutes Is the difference between those two values statistically significant Click the icon to view the Los Angeles commute times Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round

9 Tom and Fred are 5 mi apart watching a rocket being launched from Vandenburg Air Force Base Tom estimates the bearing of the rocket from his position to be S 75 W while Fred estimates that the bearing of the rocket from his position is N 65 W If Fred is due south of Tom how far is each of them from the rocket

Find the LCD of the following expressions Write LCD in factored form 5 a 13a 40 LCD and 3a a a 20

A television show conducted an experiment to study what happens when buttered toast is dropped on the floor When 46 buttered slices of toast were dropped 28 of them landed with the buttered side up and 18 landed with the buttered side down Use a 0 01 significance level to test the claim that toast will land with the buttered side down 50 of the time Use the P value method Use the normal distribution as an approximation to the binomial distribution After that supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50 of the time write a conclusion that addresses the intent of the experiment Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down 50 of the time Ho P 0 50 H p 0 50 Type integers or decimals Do not round Identify the test statistic Z Round to two decimal places as needed

3 During a trip to Belgium Toni exchanged three amounts of Canadian dollars for Belgian francs Included in the amount he paid for each transaction was a handling charge He received 5000 Belgian francs for 205 Canadian 3750 Belgian francs for 155 Canadian and 6250 Belgian francs for 255 Canadian a Plot the points Canadian dollars Belgian francs on the grid shown b What does the slope of the graph represent c Use the graph to find the exchange rate for the number of Belgian francs that is equivalent to one Canadian dollar that week d What is the handling charge for each transaction

1 Jake cycled 7 5 km in 25 min and 22 5 km in 75 min Rhona cycled 8 75 km in 35 min and 16 25 km in 65 min a Plot the points time distance for Jake on the grid shown b Plot the points time distance for Rhona on the same grid c Use the graph to indicate who cycled faster d Calculate Jake s rate of cycling in kilometres per hour e Calculate Rhona s rate of cycling in kilometres per hour

1 Define Marked Departure 1 mark 2 How many days is a stunt driver licence suspension Ref How long is the impound for a motor vehicle for Stunt Driving Ref Who is responsible for payment after the motor vehicle is released from the impound Ref 3 marks 3 Is a cyclist a vehicle as defined by the H T A 1 mark Can a cyclist be charged with riding through a stop sign Ref Yes it is What is the difference between the definitions of a motor vehicle in the Highway Traffic Act and vehicle in the Highway Traffic Act 1 marks Ref 5 Why is the difference question 4 important 1 marks Ref 4 6 Site the General stopping authority under the H T A 1 marks Ref 7 Site the Spot Check authority for R I D E under the H T A 1 marks Ref 8 Site the authority under the H T A to have a vehicle examined 1 marks Ref

A die is rolled The set of equally likely outcomes is 1 2 3 4 5 6 Find the probability of getting a 6 O 1 6

Assigm8 Problem 19 1 point Determine whether the following lines in R2 represented by the vector equations below intersect are parallel or are identical choose one choose one choose one 1 r t 5 t 4 2t and s t 5 3t 4 t 2 r t 2 3t 4 2t and s t 2 6t 10 4t 3 r t 1 2t 2 4t and s t 1 4t 6 8t Note You only have two attempts at this problem

1 Calculate the slope of each line segment where possible RYA Find the slope of the line passing through each pair of points 2 4 5 and 0 0 3 2 6 and 7 1 4 3 2 and 6 5 5 3 7 5 1 and 1 5 1 2 6 1 5 and 3 5 7 2 7 and 2 4 8 The slope of a line is 1 The line passes through 4 1 Name the coordinates of two other possible points on the line 9 The slope of a line is 2 The line passes through 1 k 0 4 and m 4 Find the values of k and m 10 Given a point on the line and the slope sketch the graph of each line on the given grid a 3 1 m 3 b 2 5 m 1 1 213 c 0 2 m 0 d 1 4 m is undefined 11 One point of a line is in the first quadrant and another point of the line is in the second quadrant If the slope of the line is positive name two points on the line 12 The coordinates of point A are 1 5 If the slope of the line is 3 1 name the coordinates of another point on the line 13 A ladder is leaning against a wall The base of the ladder is 1 5 m from the base of the wall The top of the ladder touches the wall at a point 4 m above the ground What is the slope of the ladder a Use slopes to determine whether each set of points is collinear or non collinear b If the points are collinear find the slope 14 A 2 1 B 1 2 C 4 2 15 M 1 3 N 2 5 P 3 4 16 W 3 1 X 9 8 Z 5 5 17 The slope of a plane taking off is 0 02 Assume the slope is constant What is the vertical height of the plane after it has travelled a horizontal distance of 450 m

1 Calculate the slope of each line segment where possible BY F 2 0 2 GI H C D 6 x Find the slope of the line passing through each pair of points 2 4 5 and 0 0 3 2 6 and 7 1 4 3 2 and 6 5 5 3 7 5 1 and 1 5 1 2 6 1 5 and 3 5 7 2 7 and 2 4

2 The table below describes features of a rational function Use the information in the table to sketch the graph Ensure to include the asymptotes in your sketch 5 marks Vertical Asymptote X x 4 Horizontal Asymptote y 0 x intercept 113 y intercept 1 8 y Domain xER x 4 Positive intervals Negative intervals 0 3 U 4 00

Z 1 2dz C z sec 4 Question 11 Find 1 C z 1 sec 4 4 7 CCW

1 point Let v PQ where P 1 0 Q 1 2 Which of the vectors with the following given tails and heads are equivalent to v a Select 3 4 5 6 0 0 2 2 0 1 2 1 3 4 7 6 b Select c Select d Select Note You can earn partial credit on this problem

9 Ex 3 The vertices of a quadrilateral ABCD are A 3 1 B 0 2 C 1 5 and D 4 2 How would yo classify this polygon

13 A ladder is leaning against a wall The base of the ladder is 1 5 m from the base of the wall The top of the ladder touches the wall at a point 4 m above the ground What is the slope of the ladder a Use slopes to determine whether each set of points is collinear or non collinear b If the points are collinear find the slope A 2 1 B 1 2 C 4 2 14 15 M 1 3 N 2 5 P 3 4 16 W 3 1 X 9 8 Z 5 5

Assigm8 Problem 20 1 point Find the intersection of the lines r t 4 2t 20 6t 26 8t and R s 5 38 15 5s 4 s Write your answer as a point a b c where a b and care numbers Answer Note If there is no intersection write none

Explain why 1 1 is not diagonalizable

Explain why 1 1 1 is not diagonalizable

Ex 2 The coordinates of the vertices of triangle FUN are F 1 1 U 1 4 and N 2 1 How can you tell if FUN is a right triangle show your work This is a right triangle since two of the sides are pendiculars 1 8 5 2 4 2 8 6 4 2 50 4 3w 3 8 6 e 72 2 24 7 6 6000 8 2 4 6 8 X Slope I m 3 slope 3 2 slune 2 ml 3 1 not Vic Sin line tou

Assigm8 Problem 1 1 point Below is a diagram of the dotted cube with edges of length 4 Suppose vectors u vectors 1 u v 2w 2 t 3 t 2r 4 u v w r s t 4 0 0 v 0 4 0 and w 0 0 4 Find the following

1 point Determine whether the points lie on a straight line Answer Yes or No 1 A 0 0 0 B 9 3 3 and C 27 9 8 4 2 D 9 3 3 E 10 1 6 and F 14 7 18 3 G 1 0 1 H 3 9 10 and I 8 27 28 Note You only have two attempts at this problem

1 point Find a vector equation with parameter t for the line through the points 1 7 4 and 12 7 1 Answer r t