Math - Others Questions

Draw a bag diagram to illustrate the following set and find its cardinal number 0 The cardinal number is

Find n A for the following set A x x is a vowel in the English alphabet n A 0

If the monthly supply of math action figures t months after initial delivery to market is given by the logistic growth function s t find the carrying capacity of the market Carrying capacity 3000 7 14e 1 17t

Exponential Logarithmic Functions Cour If the population of squirrels on campus t years after the beginning of 1855 is given by the logistic growth function 3000 1 8e 1 21t find the time t such that s t 2400 Time t s t which when rounded to two decimal places corresponds to the year

Exponential Loga If the monthly supply of math action figures t months after initial delivery to market is given by the logistic growth function find the initial supply of the market Initial supply s t 5000 9 18e 0 44t

2 In constructing a new road the design estimates the following areas for earthwork by the stations provided 6 points STA Area ft 119 00 0 120 00 120 121 00 224 122 00 325 123 00 450 124 00 362 125 00 0 The cost for extracting the soil is 20 per cubic yd and moving the soil is 5 per cubic yd Determine the total cost to extract and move the estimated volume of earth

ats eBook Hint Print Terences Required 1 Compute the a cost of products transferred from weaving to sewing b cost of products transferred from sewing to finished goods and c cost of goods sold Hint Compute the total production costs in each department and then subtract the ending inventory to get the amount transferred out of each department 2 Prepare journal entries dated June 30 to record a goods transferred from weaving to sewing b goods transferred from sewing to finished goods c sale of finished goods and d cost of goods sold Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute the a cost of products transferred from weaving to sewing b cost of products transferred from sewing to finished goods and c cost of goods sold a Transferred from Weaving to Sewing b Transferred from Sewing to Finished Goods c Cost of goods sold

Question 14 Y A bank features a savings account that has an annual percentage rate of r 3 with interest compounded quarterly Abigail deposits 2 500 in to the account kt The account balance can be modeled by the exponential formula A t a 1 7 where A is account value after t years a is the principal starting amount r is the annual percentage rate k is the number of times each year that the interest is compounded T A What values should be used for a r and k a k B How much money will Abigail have in the account in 10 years Amount S Round answer to the nearest penny C What is the annual percentage yield APY for the savings account The APY is the actual or effective annual percentage rate which includes all compounding in the year APY Round answer to 3 decimal places Question Help Video 4

Solve the equation arctan x 1 1 Use decimal notation Give your answer to at least two decimal places

Question 1 Theresa wants to buy a house so she has decided to save one quarter of her salary Theresa earns 48 00 per hour and receives an extra 28 00 a week because she declined company benefits She wants to save at least 550 00 each week How many hours must she work each week to achieve her goal 15 p

10 4 points Braydon can afford to pay approximately 1400 per month on his mortgage Determine the difference between the amounts paid in one year using bi weekly payments and accelerated bi weekly payments

14 4 points The number of trees destroyed each day by a forest fire are given in the table Day 1 2 3 4 5 6 Number of Trees Destroyed per Day 555 611 672 739 813 894 a Which model appears most suitable for the data linear quadratic or exponential Justify your answer b Determine a suitable equation to model this data c Approximately how many trees will be destroyed on day 12

The extreme temperatures for each continent for a given year are listed in the data table Using a cubic model a location with a maximum temperature of 95 degrees Fahrenheit is predicted to have a minimum temperature of 86 degrees How reliable is this prediction Give at least two reasons to defend your answer Continent Maximum F Minimum F Africa Antarctica Asia Australia Europe Oceania North America South America 136 59 129 128 122 108 134 120 11 129 90 9 67 14 81 27

13 3 points A couple makes bi weekly mortgage payments of 978 88 monthly condominium fees of 325 and monthly utility expenses averaging 275 The combined household net income is 120000 per year Calculate the percent of the total income spent on costs associated with owning a home Show all your steps

c NTIzOTcyOTAyMDgx a NTIzOTczMjI5NjI5 details nent Q12324 pdf 1 Month 2 January February March April May June 234 4 567 6 7 8 July August September October 12 November 13 December 69 10 11 B Property Mortgage Taxes 2850 245 245 245 245 245 245 245 245 245 245 245 245 2850 2850 2850 2850 2850 2850 Open with Google Docs 2850 2850 2850 2850 2850 Electricity 90 90 90 90 90 90 90 90 90 90 90 90 Natural Gas 128 0 128 c What is the amount of their annual property taxes 0 128 0 128 0 128 0 128 0 Telephone Water and Internet 0 315 0 0 0 315 0 0 0 315 0 0 14 Total Annual Cost per Expense a In which months did Pouria and Amalia have the greatest home expenses b How much did they spend on mortgage payments for the year 75 75 75 75 75 75 75 75 75 75 75 75 A Total Monthly Expense

Section 3 Thinking Inquiry Directions For each of the questions in this section show all work to get full marks 8 1 point A scatter plot is created for a set of data A linear model for the data has a coefficient of determination of R 0 7306 A quadratic model for the data has a coefficient of determination of R 0 9131 An exponential model for the data has a coefficient of determination of R2 0 9727 What is the model best fits the data

3 points An amount of 1500 is deposited semi annually for two years into a fund that pays 10 5 per year compounded semi annually Determine the future value of this annuity

2 3 points A telecommunications satellite is orbiting Earth Students at two Ontario schools that are 500 km apart notice that the flight path passes directly over their schools At an instant when the satellite is between the two schools the students note that the simultaneous angles of elevation are 58 and 77 How far is the satellite from each school at this instant rounded to the nearest tenth of a kilometre

3 points In triangle AABC ZC 64 a 9 30 m and b 4 22 m Solve for ZB to the nearest degree Show all your steps

9 3 points Solve Show all your work 90 2x 1 274 3x 2

2 points The volume of a cylindrical container with a height equal to its radius is given by the equation If the volume of the container is 817 cm then the radius to the nearest tenth of a centimetre is

Directions For each of the questions in this section show all work to get full marks 1 2 points The terminal arm of an angle 8 in standard position passes through the point A 4 5 a Determine the primary trigonometric ratios to three decimal places sine H Find 3 to the nearest tenth of a degree cos tan

Section 2 Knowledge Understanding Directions For each of the questions in this section show all work to get full marks 4 4 points Simplify Show your steps a 25ab 0 49a

2 points Henry can save 15 of his net earnings The amount of four of his paycheques is shown What is the amount that Henry saves in total to the nearest dollar Show your work Pay Date June 30 July 31 August 31 September 30 Net Earnings 2009 34 2250 14 1997 56 2098 76

A toy race car travels along a circular race track that has a radius 25 meters long The race car starts at the 3 o clock position the easternmost part of the track Imagine an angle with its vertex at the center of the circular track that subtends the path the toy race car travels Suppose th ace car stops after rotating through an angle measuring 2 25 radians along the circular race track a The race car is how many radius lengths east of the track s center radius lengths b The race car is how many meters east of the track s center Preview meters Preview c The race car is how many radius lengths north of the track s center radius lengths Preview d The race car is how many meters north of the track s center

Suppose you want 25 000 in 14 years to purchase a car Find the amount of money you should deposit today at each A P R annual percentage rate below Round each answer to the nearest penny a 9 compounded monthly deposit 7527 33 That s not it b 11 compounded quarterly deposit 9482 37 Preview 7527 33 Preview 9482 37

Instructions Use algebraic techniques to solve problems unless otherwise instructed Show the calculations leading to your answers except basic arithmetic Simplify and circle your final answers 1 6 pts Hyperbolic Sine Function Is this function even odd or neither Prove your answer using the symmetry tests What type of symmetry if any does its graph exhibit ex e X sinh x 2 73 2 6 1 5 9e 2 10 pts Consider the logistic model of world population given by P t 0 is the year 2000 and the population is measured in billions a Use the model to estimate the world population in the years 2080 and 2150 0 02t where time

Suppose T R R is a linear transformation that first rotates a point about the origin through 11T radians clockwise and then reflects points through the horizontal axis Find the standard matrix A of T Answers should be in exact form i e do not use a calculator to get a decimal approximation 6

Find the A P R annual percentage rate necessary for 9000 to grow to 24 000 in 9 years given the indicated method of compounding Express each answer in decimal form rounded to four decimal places a Compounded every 3 months A P R T b Compounded continuously A P R

Suppose you deposit 4700 into a savings account with an A P R annual percentage rate of 5 compounded continuously Find the following Round each answer to one decimal place a The time in years to reach 6580 t b The time in years to double years

You deposit 550 into an account with an A P R annual percentage rate of 6 Find the amount of money in the account after 5 years given each method of compounding Round each answer to the nearest penny a Compounded once annually b Compounded every 6 months c Compounded daily assume there are 365 days per year d Compounded continuously

Suppose you want 25 000 in 14 years to purchase a car Find the amount of mone you should deposit today at each A P R annual percentage rate below Round each answer to the nearest penny a 9 compounded monthly deposit b 11 compounded quarterly deposit

8 Calculate the following using the Unit Circle and trigonometric identities of your choice Show all work and explain your reasoning for your solution Write exact answers i e no decimal solutions A cos 5 12 B sin 17 12 C tan 10 3

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up The ladder makes an angle of 66 with the ground Find the length of the ladder Round your answer to the nearest tenth of a foot if necessary

cinnamon teaspoons sugar tablespoons 2 One batch of pink paint uses 2 cups of red paint and 7 cups of white paint Megan made a large amount of pink paint using 28 cups of red paint How many batches of pink paint did she make Use a double number line to solve How many cups of white paint did she use Use a double number line to solve 14 Ad to My the it is to gdy du 3 In lemonade the ratio of cups of lemon juice to cups of water is 2 to 3 How many cups of water will you need if you use 7 cups of lemon juice Use a double number line to solve

K Suppose there are 17 pairs of values for two variables x and y Use the table of critical values and the given value of the linear correlation coefficient r for x and y to determine whether we can be 95 or 99 confident that there is significant linear correlation between x and y r 0 7684 Click the icon to view the table of critical values for the linear correlation coefficient Can we be 95 confident that there is significant linear correlation between x and y O Yes O No Can we be 99 confident that there is significant linear correlation between x and y This question 1 point s possible O No O Yes Table of critical values n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 a 05 950 878 811 754 707 666 632 602 576 553 532 514 497 482 468 456 444 01 999 959 917 875 834 798 765 735 708 684 661 641 623 606 590 575 561 X

ces Victory Company uses weighted average process costing The company has two production processes Conversion cost is added evenly throughout each process Direct materials are added at the beginning of the first process Additional information for the first process follows Beginning work in process inventory Units started this period Units completed and transferred out Ending work in process inventory Beginning work in process inventory Direct materials Conversion Costs added this period Direct materials Conversion Total costs to account for Cost assignment Weighted average Completed and transferred out Units FUR 69 000 859 000 745 000 183 000 422 240 122 730 2 825 760 2 331 870 Direct Materials Percent Complete 100 100 Cockt FUD Conversion Percent Complete 80 544 970 3 Assign costs to the department s output specifically to the units transferred out and to the units in ending work in process inventory Note Round Cost per EUP to 2 decimal places 5 157 630 5 702 600 40 Check my wor

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 Equivalent units of production EUP FIFO method 3 100 19 300 22 400 2 500 252 880 1 107 594 Direct Materials Conversion Percent Complete 1008 1008 Percent Complete 308 121 150 1 360 474 1 481 624 Required 1 Compute equivalent units of production for both direct materials and conversion Direct Materiale 708 Check my

2 es The following data reports on the July production activities of the Molding department at Ash Company Beginning work in process Direct materials Conversion Costs added this period Direct materials Conversion Total costs to account for Beginning work in process inventory Units started this period Completed and transferred out Ending work in process inventory 40 350 5 250 Unit Reconciliation Units to account for Units 574 050 342 750 3 500 44 500 44 000 4 000 45 600 916 800 962 400 Direct Materials Percent Complete 100 100 Conversion Percent Complete 20 60 Prepare the Molding department s production cost report using the weighted average method Note Round Cost per EUP to 2 decimal places Ch

es Cost per equivalent unit of production FIFO method Equivalent units of production Cost per equivalent unit of production rounded to 2 decimals Required b Cost assignment FIFO Beginning work in process To complete beginning work in process Direct materials Conversion Started and completed Direct materials Conversion EUP EUP Direct Materials Cost per EUP Cost per EUP Conversion Total cost Total cost

K After one semester a group of 15 freshmen were asked how many new friends they had made at college and responded as follows 12 8 6 8 12 7 13 14 7 11 6 12 14 8 7 Find the mean median and mode for the data set Explain which measure best describes a typical value in this distribution Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mean is Round to two decimal places as needed OB There is no mean for these data Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice OA The median is CALL Round to two decimal places as needed OB There is no median for these data Find the mode s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mode s is are Round to two decimal places as needed Use a comma to separate answers as needed OB There is no mode for these data Which measure best describes a typical value in this distribution OA For this distribution the mean median and mode are equal so any value can be used to describe this distribution OB The mode best describes a typical value in this distribution since each values occurs roughly the same number of times OC The mean best describes a typical value in this distribution since the distribution is roughly symmetrical and does not contain any extreme values OD The median best describes a typical value in this distribution since the distribution appears to be slightly asymmetrical and contains some extreme values

K Use the set of data below to complete parts a and b a Plot the xy pairs in a scatterplot b Estimate the linear correlation coefficient between the two data sets c Calculater the linear correlation coefficient 6 16 9 13 11 11 12 7 a Choose the correct graph below OA 16 12 84 4 0 0 6 12 18 24 30 Q Q OB c The value of ris Round to four decimal places as needed 16 12 8 4 0 0 4 8 12 16 O Q Q b Which of the following is the best estimate for the linear correlation coefficient O 0 5 O 0 75 O 1 O 0 25 CO O C 30 24 18 12 6 0 4 h 8 12 16 O D 30 24 18 12 6 04 0 HIHI 1 11 PW 1 4 8 12 16 Q E

4 k 2 t nces Required a Cost per equivalent unit of production Weighted average method Total costs Equivalent units of production Cost per equivalent unit of production rounded to 2 decimals Required b Cost assignment Weighted average Completed and transferred out Direct materials Conversion Total costs completed and transferred out Ending work in process Direct materials Conversion Total cost of ending work in process EUP EUP Costs EUP Direct Materials Cost per EUP Cost per EUP Total cost Total cost Costs EUP Conversion

Assume that 21 year old men s heart rates at rest are normally distributed with a mean of 64 beats per minute and a standard deviation of 6 beats per minute If 500 men are examined how many would you expect to have a heart rate of less than 67 Click the icon to view the standard normal distribution table How many men out of 500 would you expect to have a heart rate of less than 67 Type a whole number

Use a standard normal distribution table to find a z score such that 33 00 of the area under the standard normal curve is above that score Click the icon to view the standard normal distribution table Z Round to the nearest hundredth as needed

Suppose for a given month the mean daily closing price for stock A was 136 03 and the standard deviation was 13 9 For stock B the mean daily closing price was 77 95 with a standard deviation of 6 9 Which stock was more volatile Stocks with greater coefficients of variation are considered more volatile Which stock was more volatile Stock A O Stock B

A college placement office has made a comparative study of the starting salaries for graduates in various majors The following box and whisker plots describe the starting salaries for business education engineering and liberal arts Click on the icon to view the box and whiskers plots Which major in general receives the lowest salary offers OA Business OB Liberal Arts OC Education OD Engineering Starting salaries in thousands 20 8 24 3 27 29 3 TEE 21 6 Liberal Arts 20 26 5 28 32 4 HEH Business 26 29 18 23 7 26 2 32 33 2 37 5 1884 Engineering Education 38 9 42 30 36 2 40 44 9 48 4 50 X

State what kind of correlation if any the scatterplot to the right indicates Choose the correct answer below OA The scatterplot indicates a negative correlation OB The scatterplot indicates a positive correlation OC The scatterplot does not indicate any correlation 30 20 10 0 0 A 10 20 H 30 2 40 50 60 Q o

Solve each problem 1 Which expression s are equivalent to 2 6 A 2 6 B 2 6 C 2 6 D 2 6 3 Which expression s are equivalent to 8 3 4 94 A 8 3 4 94 B 8 3 4 94 C 8 3 4 94 D 8 3 4 94 5 Which expression s are equivalent to 3 3 5 2 A 3 3 5 2 B 3 3 5 2 C 3 3 5 2 D 3 3 5 2 7 Which expression s are equivalent to c 2 Which expression s are equivalent to 7 6 A 7 6 B 7 6 C 7 6 D 7 6 4 Which expression s are equivalent to 4 5 A 4 5 B 4 5 C 4 5 D 4 5 6 Which expression s are equivalent to 5 18 3 54 A 5 18 3 54 B 5 18 3 54 C 5 18 3 54 D 5 18 3 54 2 Answe 6 8 Which expression s are equivalent to 4 9 A 4 9 B 4 9 C 4 9 D 4 9