Math - Others Questions

Marlie will be starting college next month She was approved for a 10 year Federal Unsubsidized student loan in the amount of 18 800 at 4 29 She knows she has the option of beginning repayment of the loan in 4 5 years She also knows that during this non payment time interest will accrue at 4 29 Marlie has to decide whether she can afford to make interest only payments for the first 4 5 years or defer all payments for that period of time If she decides to make no payments during the 4 5 years the interest will be capitalized at the end of that period Suppose Marlie decides to defer the payments a What will be the new principal when she begins making loan payments

Mrs Imperiale s credit card has an APR of 13 2 She does not ever pay her balance off in full so she always pays a finance charge Her next billing cycle starts today The billing period is 31 days long She is planning to purchase 7 400 worth of new kitchen cabinets this billing cycle She will use her tax refund to pay off her entire bill next month If she purchases the kitchen cabinets on the last day of the billing cycle instead of the first day how much would she save in finance charges Round to the nearest ten dollars

Tomika s credit rating was lowered and the credit card company raised her APR from 18 to 25 2 a If her average daily balance this month is 8 237 what is the increase in this month s finance charge due to the higher APR b If this amount is typical of Tomika s average daily balance all year how much would the rise year in interest rate cost her in a typical Round to the nearest ten dollars

5 2 pts Fill in SIX equal sections in a spinner so that the probabilities below will all be true for you spinner you can use the same info in more than one section if appropriate P cat dog hamster cow T Rex eagle 1 P animal doesn t naturally fly 5 6 P extinct animal 0 P common household pet 1 2 P 3 letter word 4 6

1 2 pts Use numbers from the list 6 7 8 9 10 and or 11 to fill in EIGHT equal sections in a spinner so that the probabilities below will all be true for your spinner you can use the same number in more than one section if appropriate You may need to review MATH 210 concepts The probability of landing on a multiple of 3 is 1 4 The probability of landing on a number that has EXACTLY 2 DIFFERENT prime factors is also 1 4 The probability of landing on an even number is 1 2 The probability of landing on a prime number is 3 8

4 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 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

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 release from the impound Ref 3 marks

Practice Problem Solving Find the value of each variable and the measure of each labeled angle 44 3x 6 2x 22 45 4x y 46 Construct Arguments Write a proof Given m TUV 90 Prove x 12 T yo 2x 32 U 3x 5 WA 42 V 47 Construct Arguments Write an indirect proof by proving the contrapositive Given GJ 48 2x H Ou

Elliot Chambers invests 30 000 in a 1 year CD that earns interest at an annual rate of 3 75 compounded monthly a What is the amount of the CD at maturity b What is the interest earned

Pierce Manufacturing determines that the daily revenue in dollars from the sale of x lawn chairs is R x 0 003x 0 03x 0 6x Currently Pierce sells 70 lawn chairs daily a What is the current daily revenue b How much would revenue increase if 73 lawn chairs were sold each day c What is the marginal revenue when 70 lawn chairs are sold daily d Use the answer from part c to estimate R 71 R 72 and R 73

A company begins advertising a new product and finds that after t weeks the product is gaining customer recognition at the rate of 9t2 In t thousand customers per week for t 1 Find the total gain in recognition from the end of week 1 to the end of week 6 Round your answer to the nearest whole number thousand customers

A company s marginal cost function is MC x xe x 2 and fixed costs are 215 Find the cost function Hint Evaluate the constant C so that the cost is 215 at x 0 C x

Maximize z 2x x 3x3 subject to 2x x 3x3 6 x 3x 5x3 10 2x1 X3 7

The area of a rectangle is 44 m and the length of the rectangle is 3 m less than twice the width Find the dimensions of the rectangle Length m 010 8 X

Find the P value for the indicated hypothesis test A nationwide study of American homeowners revealed that 65 have one or more lawn mowers A lawn equipment manufacturer located in Omaha feels the estimate is too low households in Omaha Find the P value for a test of the claim that the proportion with law mowers in Omaha is higher than 65 Among 497 randomly selected homes in Omaha 3 had one or more lawn mowers O 0 0252 O 0 1505 O 0 1118

Find the angle 0 in the taper shown in figure below The front face is an isosceles trapezoid 4 50 cm A 30 deg B 35 deg D 25 deg 40 deg 4 90 cm 1 86 cm S 0 S H 19 1 Fig 4 52 www Copyright 2015 Pearson Canada Inc X after due date Time limit 240 minutes Automatic s Attempts 3 attempts left Grading Maximum points Description Please review the following detail for Assignment Read the quest check what is being asked Select closest answer 3 attempts allow recorded Time limit 4 hrs Due 8 00 AM Please attach scan cop sheet at the end of the Assignmen deducted if calculation scan file is and drop the calculation file in the box

blem 6 If a person with weight W bends at the waist with a straight back then the force F in pounds exerted on the lowe back muscles may be approximated by the function F 3 2 89W sin 8 The angle 8 is the angle between a person s torso and the horizontal a Use the sum and difference identities to rewrite the function F 3 in terms of cosine b Suppose the person is standing straight measure the force exerted on their back c Suppose the person weighs 200 pounds

A uniform strip of 5 cm wide frames a trapezoidal window as shown below Find the left dimension of the outside of the frame A 73 3 cm B 65 7 cm 81 6 cm 7 22 5 1 65 0 cm Fig 4 82 Str Copyright 2015 Pearson Canada Inc 5 0 cm

A supporting girder structure is shown below Find the length of x A 7 95 m B 7 23 m 7 56 m Fig 4 56 7 25 m 27 89 39 4 G Jhy UY Copyright 2015 Pearson Canada Inc 5 25 m

Find the value of x for the triangle shown below A 4 6 B 4 2 5 1 5 4 25 12

Brandon s retirement fund has an accumulated amount of 50 000 If it has been earning interest at 3 12 compounded monthly for the past 17 years calculate the size of the equal payments that he deposited at the beginning of every 3 months

What is the circumference of the Arctic Circle Latitude 66 32 N The radius of the earth is 6370 km 15 940 km B 15 825 km 15 470 km 15 290 km R 66 32 D X

A ground observer sights a weather balloon to the east at an angle of elevation of 15 A second observer 2 35 km to the east of the first observer also sights the same balloon at an angle of elevation of 24 How high is the balloon A 1 58 km B 1 42 km 1 71 km D 1 84 km 15 0 2 35 km 24 0 Fig 4 81 Copyright 2015 Pearson Canada Inc

There was a sample of 750 milligrams of a radioactive substance to start a study Since then the sample has decayed by 7 3 each year Lett be the number of years since the start of the study Let y be the mass of the sample in milligrams Write an exponential function showing the relationship between y and t 0 M 8 08

Lisa deposits 50 000 into an account that pays 4 interest per year compounded annually Scott deposits 50 000 into an account that also pays 4 per year But it is simple interest Find the interest Lisa and Scott earn during each of the first three years Then decide who earns more interest for each year Assume there are no withdrawals and no additional deposits Year First Second Third Interest Lisa earns Interest compounded annually 0 0 Interest Scott earns Simple interest 0 0 0 Who earns more interest Lisa earns more O Scott earns more They earn the same amount O Lisa earns more Scott earns more They earn the same amount Lisa earns more Scott earns more They earn the same amount

Let n t 7 Use a double angle formula to find sin 2t 8 Give an exact answer Use symbolic notation and fractions where needed 3 2 20 and sin t

45 Find the sine and cosine of 22 5 Note that 22 5 2 Give exact answers Use symbolic notation and fractions where needed Simplify your answers completely sin 22 5 cos 22 5 Now give the approximations of the obtained values Use decimal notation Give your answers to three decimal places sin 22 5 cos 22 5

Question 3 of 13 21 29 sin 1 and sin t Find sin 1 exactly Let both s and t be acute angles so that sin s 3 Give an exact answer Use symbolic notation and fractions where needed Now approximate the obtained value Use decimal notation Give your answers to three decimal places

Question 2 of 13 t exactly Give an exact answer Use symbolic notation and fractions where needed Let s be an acute angle and sin s Find the value of cot 9 cot

Using Amdahl s Law what is the the speedup for an application that is 75 percent parallel with two processing cores

A principal of 2600 was invested at 3 25 interest compounded annually Lett be the number of years since the start of the investment Let y be the value of the investment in dollars Write an exponential function showing the relationship between y and t 0 0 0 8 08 0 0

The graph of an exponential function is shown in the figure below The horizontal asymptote is shown as a dashed line Find the domain and the range Write your answers as inequalities using x or y as appropriate Or you may instead click on Empty set or All reals as the answer domain a b range O O O O OSO 8 08

Graph the exponential function g x 3e 2 3 Plot two points on the graph of the function and also draw the asymptote Then click on the graph a function butto 10 8 6 8 10 5

No late submissions will be accepted Problem 1 For each function find the amplitude range period phase shift vertical shift and a sketch including a full period a f t sin t t 1 3 2 7 b f x 4 cos 2x 1 Problem 2 The graph below models the monthly average precipitation in inches at a town on a particular mountain

At the beginning of a population study a city had 380 000 people Each year since the population has grown by 1 1 Lett be the number of years since start of the study Let y be the city s population Write an exponential function showing the relationship between y and t 0 0 0 8 08

2 A 12 Moot ladder leans against a wall The foot of the ladder is 5 feet from the wall How much would the foot of the ladder have to be pulled away from the wall so that the top of the ladder would slide down the wall by the same amount Round to the nearest tenth

e Find tan a B f Find the quadrant containing the angle a 3 Problem 5 Verify each identity a secx tan x sec x b tan 4x csc 4x cot 4x sec 4x C d sin t 6 sint 9 3 csc t 1 sint 3 csc t sect 1 cos t sec x sec t e f g sin x 2 sin x 1 cos x COS sin 0 cos 0 cos a B cos a B h tan sec 0 cos 0 0 1 sin x 1 sin x 1 tan a tan 3 1 tan a tan 3 1 tan 0 1 tan 0 Problem 6 If a person with weight W bends at the waist with a straight back then the force F in pounds exerte on the lowe back muscles may be approximated by the function F 3 2 89W sin 8 The ang B is the angle between a person s torso ard the horizontal a Use the sum and difference identities to rewrite the function F B in terms of cosine b Suppose the person is standing straight measure the force ororted on their book

Goods Pizzas Rent Car Phone a b c Qty 20 1 1 1 2001 Price 10 00 600 00 100 00 50 00 Qty 30 2 4 0 5 2002 Price 11 00 640 00 Qty 40 2 120 00 5 40 00 0 25 2003 Price 12 00 700 00 150 00 30 00 Calculate the Nominal GDP in 2001 2002 and 2003 respectively 2001 20 10 1 600 1 100 1 50 950 2002 30 11 2 640 4 120 5 40 2110 2003 40 12 2 700 5 150 25 30 2637 50 Assume 2001 is the base year What is the CPI in 2002 I Assume 2001 is the base year What is the CPI in 2003 2

If a store owner places Joe as manager and gives him a special nametag customers may assume that Joe has for the owner in that respect apparent authority ratification power special agency universal agency

If a buyer procures the same or similar goods as those involved in the sales contract breached by the seller the buyer lose all rights to prosecute for breach is said to have validated the seller s action is said to have covered is also a breach

A agent is authorized by the principal to handle a definite business transaction or to do a specific act special general secret O universal

oblem 4 Let tan a 2 3 and cos 3 3 where a is in the first Quadrant and is in the third Quadrant 3 a Sketch and complete a right angle triangle for the angle a b Sketch and complete a right angle triangle for the angle c Find sin a d Find cos a B e Find tan a f Find the quadrant containing the angle a

Fraud in the inducement is a limited defense not available against a holder in due course universal defense available against all holders limited defense available against all holders universal defense not available against a holder in due course

The table of ordered pairs x y gives an exponential function Write an equation for the function X 1 0 1 y 3 6 12 2 24 0 0 DO 0 08

An agent is under a duty to obey all instructions given by the third party all lawful instructions given by the principal all instructions given by the principal obedience is not an obligation of the agent

The graph of an exponential function is shown in the figure below The horizontal asymptote is shown as a dashed line Find the range and the domain 1 11 a b 1 1 Write your answers as inequalities using x or y as appropriate Or you may instead click on Empty set or All reals as the answer range 0 domain 0 0 0 0 020 8 08 Empty set OSO All reals

An indorsement for deposit only is Orestrictive qualified special O O Oblank

Suppose that the velocity v 1 in m s of a sky diver falling near the Earth s surface is given by the following function where time t is measured in seco v 1 53 1 e 0 161 Find the velocity of the sky diver after 3 seconds and after 6 seconds Round your answers to the nearest whole number as necessary Velocity after 3 seconds r m s Velocity after 6 seconds m s

A seller may cancel a sales contract if the buyer does any of the following except wrongfully rejects the goods repudiates the contract fails to make payment due on or before delivery rejects an improper tender

A check that is made out to Cash and signed by the writer is a void instrument an order instrument a revocable instrument a bearer instrument