College Math - Others Questions

The future value of 6 000 for four years at 8 compounded semi annually will grow to do not include cents or round your calculation 8 991 8 950 8 211 9 990

Bill Burne s earnings are subject to deductions for Social Security Medicare and FIT This week Bill earns 1 200 Bill who is married is paid weekly and claims three exemptions Assume the Social Security rate is 6 2 and 1 45 for Medicare His net pay for the week is Use Table 9 1 and Table 9 2 in your textbook 528 43 1 026 89 1 690 93 1 609 93

FICA tax base Never changes Changes yearly Changes once every two years Is never more than 60 000 None of these

Al Miler the owner of Al s Garage estimates that he will need 29 000 for new equipment in 15 years Al decides that he will put aside the money now so that in 15 years the 29 000 will be available His bank offers him 10 interest compounded semiannually Al must invest today 6 710 60 6 942 60 6 701 60 125 335 10 None of these

Gracie Shay wants to buy a new Hummer in five years Gracie estimates the cost of the Hummer will be 28 000 If she invests 12 000 now at a rate of 6 compounded semiannually she Will have enough money Will have exactly 16 000 Will have 18 000 Will have 16 126 80 None of these

On May 17 Jane took out a loan for 33 000 at 6 to open her law practice office The loan will mature the following year on January 16 Using the ordinary interest method 360 days what is the maturity value due on January 16 34 342 34 320 34 323 62 34 254

Jim Smith is a salesman who receives a 1 100 draw per week against his commission He receives a 12 commission as an incentive on all sales Sales for Jim were 205 000 for the month Assuming a four week month Jim s commission is 24 600 20 200 23 500 26 400 None of these

Lisa Richter made a one time deposit of 5 000 at 4 compounded semiannually for 5 years What would her balance be at the end of five years assuming she is still earning 4 compounded semiannually 5131 8131 8 800 6 095

Matty Kaminsky owns a new Volvo His June monthly interest is 400 The rate is 8 Matty s principal balance at the beginning of June is use 360 days 65 740 58 64 470 58 65 704 58 56 470 58

Differential pay schedule is based on FICA Different levels of performance FUTA Gross pay None of these

Jim Murphy borrowed 30 000 on a 120 day 14 note Jim paid 5 000 toward the note on day 95 On day 105 he paid an additional 6 000 The payment was applied first to the interest owed with the remaining payment applied to the principal balance Jim s adjusted balance after the first payment is 25 000 28 891 67 1 108 33 26 108 33 None of these

A 40 000 loan at 4 dated June 10 is due to be paid on October 11 The amount of interest is assume ordinary interest 503 00 2 500 00 546 67 105 33 None of these

If you are paid twice a month you are being paid Weekly Biweekly Semimonthly Monthly None of these

Banks and other financial institutions sometimes calculate simple interest based on Exact interest method Using 30 days for each month Using 366 days in the year Bankers rule ordinary interest None of these

Find the values of the six trigonometric functions using calculator if 0 26 Round answer to the nearest thousandth

Evaluate the integral Remember to use absolute values where ap 49 x4 dx X

Consider a triangle ABC like the one below Suppose that A 59 C 64 and c 19 The figure is not drawn to scale Solve the triangle Round your answers to the nearest tenth If there is more than one solution use the button labeled or

Convert r 8 sin t to Cartesian Coordinates and Draw the Graph

4 2 X I 3T 10 101 10

6 Use the fact that einx is an orthogonal basis for L T to deduce that cos nx 0 sin nx 1 is an orthogonal basis for L and cos nx and sin nx 1 are or thogonal basis for L 0 n 0 Hint For the latter part consider the even or odd extension of f L 0 to

sin 1 60 8 61 and 6 tan 9 40 1 Find the exact value of Cos 28 Express your answer as a fraction in lowest terms

5x 6 line a Li are paralle 8x 7 16x 8 Find x

Suppose that the functions and g are defined for all real numbers x as follows f x 4x 4 g x x 6 Write the expressions for f g x and g x and evaluate f g 2 S 8 x 1 8 x X 1 8 2

A tip in a restaurant has been typically figured at 15 of the total bill Complete parts a through c a If the bill is 52 what would be the typical tip The typical tip would be Round to the nearest cent as needed

The mortgage company requires a 14 down payment on houses it finances If the Sumis bought a house for 114 000 how much down payment did they have to make The Sumis had to make a down payment of

Chris puts 5900 into a certificate of deposit CD account at a simple interest rate of 5 per year Answer the following a How much interest will Chris earn in 1 year b How much money will Chris have in his account at the end of the year a Chris will earn in interest in one year Simplify your answer

On a test of 73 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got 65 70 items correct Type a whole number or decimal rounded to two decimal places as needed Pedro got items incorrect Type a whole number or decimal rounded to two decimal places as needed

The U Gym provides weight resistance through adjustments of incline The minimum weight resistance is 8 of the weight of the person using the U Gym Find the minimum weight resistance possible for a 230 pound man The minimum weight resistance possible for a 230 pound man is pounds Type an integer or a decimal

A 280 suit is on sale for a 30 discount What is the sale price of the suit

The purchase price of a camcorder is 984 What is the total price if the sales tax rate is 7 5 www

Translate to an equation and solve What is 55 of 278 is 55 of 278 Simplify your answer Type an integer or a decimal

An owner of a repair service company estimates that for every 30 hours a repairperson is on the job he can bill for only 78 of the hours For the remaining hours the repairperson is idle or driving to or from a job Determin the number of hours per 30 hour week the owner can bill for a repairperson The number of hours per 30 hour week the owner can bill for a repairperson is Type an integer or a decimal

Bill got 45 correct answers on a 75 question test What percent of the questions answer incorrectly Bill answered of the questions incorrectly

An airline ticket cost 280 without the tax If the tax rate is 7 what is the total bill for the ticket The total ticket cost is Simplify your answer Type an integer or a decimal Round to the nearest cent if needed

On a test of 73 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got items correct Type a whole number or decimal rounded to two decimal places as needed

Marc had 50 boxes of candy to sell He sold 10 of the boxes How many did he sell Marc sold boxes of candy

In 2016 there were about 43 500 cinema screens in a country If about 33 1 of the total screens in the country were digital 3 D screens find the approximate number of digital 3 D screens There were approximately digital 3 D screens Round to the nearest whole number as needed

On a test of 79 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got items correct Type a whole number or decimal rounded to two decimal places as needed

Let A 1 1 1 2 11 ER 4 1 a 4 marks For each ER find Cartesian equations for Col A and Null A

Use the functions fand g in C 1 1 to find f g f g and d f g for the inner product f g f x g x dx f x 1 g x 4x 1 a f g b fl c g d d f g

Find u v u v and d u v for the given inner product defined on Rn u 12 5 v 15 8 u v u v a u v b c u

Are f and g orthogonal in the inner product space C a b with the inner product O Yes b f g flx f x g x dx C n 2 2 f x sin x g x COS X O No

a11 a12 Let A 221 222 and B b11 b12 b21 b22 be matrices in the vector space M2 2 Determine if the function defines an inner product on M2 2 Select all that apply A B a1b11 a12b12 a21b21 a22b22 Osatisfies A B B A Odoes not satisfy A B B A Osatisfies A B W A B A W Odoes not satisfy A B W A B A W Osatisfies c A B CA B Odoes not satisfy c A B CA B Osatisfies A A 2 0 and A A 0 if and only if A 0 does not satisfy A A 0 and A A 0 if and only if A 0

Use the inner product p q aobo ab a2b2 to find p q pl a and d p q for the polynomials in P2 p x 1 x q x 1 x a p q b p c a d d p q W

Find the vector v with the given length and the same direction as u V v 3 u 0 1 1 3 3 0 II 3 11 11 9 11

Verify the Cauchy Schwarz Inequality for the vectors u 8 3 v 5 2 Calculate the following values u v Iv We draw the following conclusion Since Ju v Select u V we Select verify that the Cauchy Schwarz Inequality for the vectors hol

Find all values of x so that the triangle with vertices A 4 4 x B 5 4 6 and C 7 2 8 has area 3 2

Find the distance between u and v u 0 2 1 v 1 4 1 d u v

Determine whether u and v are orthogonal parallel or neither u 2 20 v 5 1 O orthogonal O parallel O neither

Find the vector v with the given length and the same direction as u 3 u 0 1 1 3 V