Math - Others Questions

The table shows fuel consumption in billions of gallons by all non military motor vehicles in selected years What is the quadratic function that models the data f x x Round to three decimal places as needed C Let x 0 correspond to 1970 Using 5 109 0 as the vertex and the dat for 1990 find a quadratic function f x a x h k that models this data the model to estimate fuel consumption in 1998 Year Fuel Consumption 1975 1980 1985 1990 109 0 111 6 118 2 127 5

What is the probability of obtaining six tails when a coin is flipped six times Enter the probability as a fraction

Suppose a pair of dice are rolled Consider the sum of the numbers on the top of the dice and find the probabilities Enter the probabilities as fractions a 10 given that a double was rolled b a double given that an 10 was rolled

What are the odds in favor of drawing a five from an ordinary deck of cards

Suppose that the odds in favor are 9 to 1 that a man will be bald by the time he is 60 State this as a probability Enter the probability as a fraction P a man is bald by 60

If 8 g of a radioactive substance are present initially and 5 yr later only 4 0 g remain how much of the substance to the nearest tenth of a gram will be present after 11 yr After 11 yr there will be g of the radioactive substance Do not round until the final answer Then round to the nearest tenth as needed

Suppose the odds are 35 to 1 that someone will lie to you at least once in the next seven days State this as a probabilit the probability as a fraction

Two cards are drawn from a standard deck of cards and one of the two cards is noted and removed Find the probability of the second card given the information about the removed card provided Enter the probability as a fraction P black red

A single card is drawn from a standard deck of cards Find the probability if the given information is known about the chose Enter the probability as a fraction P club not a spade

Suppose X and Y are random variables with the given joint density function J0 1e 0 5x 0 2y if x 0 y 20 0 1e otherwise f x y a Is f a joint density function Yes No b Find P Y 3 Round your answer to four decimal places 0 5488 Find P X 3 Y 6 Round your answer to four decimal places 0 4287 X c Find the expected value of X Find the expected value of Y

9 10 similar to Part 2 of 2 HW Score 60 12 of 20 points Points 0 5 of 1 Related to Checkpoint 9 3 Bond valuation Doisneau 25 year bonds have an annual coupon interest of 11 percent make interest payments on a semiannual basis and have a 1 000 par value If the bonds are trading with a market s required yield to matu percent are these premium or discount bonds Explain your answer What is the price of the bonds a If the bonds are trading with a yield to maturity of 15 then Select the best choice below A there is not enough information to judge the value of the bonds OB the bonds should be selling at a premium because the bond s coupon rate is greater than the yield to maturity of similar bonds C the bonds should be selling at a discount because the bond s coupon rate is less than the yield to maturity of similar bonds OD the bonds should be selling at par because the bond s coupon rate is equal to the yield to maturity of similar bonds b The price of the bonds is Round to the nearest cent

What are the odds in favor of drawing a king from an ordinary deck of cards

Three fair coins are tossed What is the probability that at least one is a tail Enter the probability as a fraction

Question 2 P9 3 similar to Related to Checkpoint 9 3 Bond valuation Calculate the value of a bond that matures in 13 years and has a 1 000 par value The annual coupon interest rate is 11 percent and the market s required yield to maturity on a comparable risk bond is 15 pe The value of the bond is S Round to the nearest cent Points 0 of 1

HW Score 60 12 of 20 points Related to Checkpoint 9 1 Floating rate loans The Bensington Glass Company entered into a loan agreement with the firm s bank to finance the firm s working capital The loan called for a floating rate that was 29 basis points 0 29 percent over an index ba Points 0 of 1 LIBOR In addition the loan adjusted weekly based on the closing value of the index for the previous week and had a maximum annual rate of 2 18 percent and a minimum of 1 79 percent Calculate the rate of interest for weeks 2 through 10 Date Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 LIBOR 1 92 1 62 1 49 1 37 1 59 1 65 1 69 1 86 1 85 The rate of interest for week 2 is 2 18 Round to two decimal places The rate of interest for week 3 is Round to two decimal places Part 2 of 9 to BETER O

sim Part 1 of 3 HW Score 60 12 of 20 points O Points 0 of 1 Yield to maturity Fitzgerald s 15 year bonds pay 9 percent interest annually on a 1 000 par value If the bonds sell at 885 what is the bond s yield to maturity What would be the yield to maturity if the bonds paid interest semiannually Explain the difference a The bond s yield to maturity if the bond pays interest annually is Round to three decimal places

Related to Checkpoint 9 2 Yield to maturity Hoyden Co s bonds mature in 16 years and pay 6 percent interest annually If you purchase the bonds for 825 what is their yield to maturity The yield to maturity on the Hoyden bonds is 7 51 Round to two decimal places Points 0 of 1 STEER

Inflation and interest rates Assume the expected inflation rate is 3 6 percent If the current real rate of interest is 6 9 percent what should the nominal rate of interest be The nominal rate of interest should be 10 5 Round to two decimal places Po

An employee wants to invest 60 000 in a pension plan One investment offers 4 compounded quarterly Another offers 3 25 compounded continuously a Which investment will earn more interest in 4 yr b How much more will the better plan earn a After 4 years the 4 compounded quarterly plan will earn more interest b The better plan will eam more Round to the nearest cent as needed

of the bond b annual interest and c annual yield 1 Giuseppe Caviness purchases an Internet Inc 100 000 bond at 102 25 that pays 3 5 interest H 2 Sandy and Morry Doran purchase a NYC Municipal 50 000 hond at a quoted price of 84 775 The

Based on data from Hurricane Katrina the function defined by w x 1 13x 1450 gives the wind speed w x in mph based on the barometric pressure in millibars mb a Approximate the wind speed for a hurricane with a barometric pressure of 1000 mb b Write a function representing the inverse of w and interpret its meaning in context c Approximate the barometric pressure for a hurricane with wind speed 100 mph Round to the nearest mb

tan 240 tan 70 4 tan 120 tan 5 6 tan tan 210 1 1 2 1 3 3 4 3 5 3 3 6 7 8 2 2 2 2 3 3 2

When solving the equation sin x how many solutions are there for x in the interval 0 360 You do not have to actually give the angle s that would be solutions for x just tell how many solutions you would have

Find all solutions for x in the interval 0 360 for the following equation cos x 3

Given the angle 35 find a positive and negative coterminal angle in degrees When entering your answers Don t type the degree symbol just the number no spaces between symbols For example 987 or 765 Find a positive coterminal angle to the given angle A Find a negative coterminal angle to the given angle

Give the reference angle for the following angle 5 24 We assume radians if there is no degree symbol Round to the nearest 2 decimal places

For which quadrant s is cosine positive Quadrant 1 Quadrant 2 Quadrant 3 Quadrant 4

For which quadrant s is sine negative Quadrant 1 Quadrant 2 Quadrant 3 Quadrant 4

Give the reference angle for the following angle 285 Give just the number without the degree symbol

Determine the exact value of each trigonometric expression Do not use a calculator Answer choices many be used once more than once or not at all 1000 sin 120 sin 330 sin 240 sin 30 1 2 1 2 4 1 2 3 3 2 3

J and K are independent events P JK 0 3 Find P J

2 3 Use the inverse of A 3 125 60 80 30 45 19 26 3 to decode the following 85 120 6 8 10 15 84 117 42 56 90 4

1 6 Solve the system 1 1 solve 1 3 X 1 20 y 1 matrix multiplication then 1 2 NT AN

8 Perform the matrix operation multiplication of 3x3 3 21 4 3 2 4 0 3 0 3 0 0 1 0 0 2 1 2

7 Perform the matrix operation 54 2 5 2 7 1 4 8 1 21 0

3 16 25 9 at ga alata y s sat 25 1 2500 a yos 51 1 1 7 B 50 galata y s sat galta y s sat 6 FIRE D 125galata y s at galata y s sat Eata yos

Determine whether the series is convergent or divergent use ratio test or root test 1 n 1 n n 1 2 1 1 n 1 3 2 n n n 4 45 TL4 n 4 00 1 100n e4n 5 n 3 n 2 pls show neat and whole solution

Solve the equation x d 2y dx 2 2 dy dx 2 dy dx

Solve the differential equation y 4y 3y e 3x x 1

Solve the equation 2x 2 y 2xy 20 0

Find the polar form of the following phasors 1 10 j5 2 3 j6 3 15 j25 4 24 j30 5 36 j18 6 100 j250 7 300 j250 8 820 j320 9 241 j520

The table to the right displays information for 25 widely held stocks on how their one day change on a recent day compared with their previous 52 week change Complete parts a through g below Recent day Positive Change Negative Change Round to one decimal place as needed Over prior 52 weeks Positive Negative Change Change 5 10 THE a What percent of the companies reported a positive change in their stock price over the prior 52 weeks

Find the Taylor series for f x 8x 1 9x Give the interval of convergence What is the Taylor series for f x OA 8x 8 9x 8 92x 8 9 x4 1 18 9x 1 B 9x 9 8x 93 8 x 94 8 x 1 1gn 1 8x 14 OC 9x 9 8x 9 8 x 9 83x 1 9 8 x 1 D 8x 8 9x 8 9 x 8 9 x 1 8 9 x The interval of convergence is Type integers or fractions

Question 6 1 point What SQL keyword can be used in order to show a small number of sample outputs 4 from the query results SAMPLE OLIMIT HEAD TOD

a Draw triangle ABC with with a 9 inches b 15 inches and C 25 Label it in the standard way b Solve the triangle you have drawn in part a and round off each value to the nearest whole number Write down your work 3

2 Calculate the regular deposit for each annuity so the deposits accumulate to the given amount on the date of the last deposit Each deposit is made at the end of the compounding period 4 marks a 1575 in 5 years at 4 compounded semi annually b 7500 in 7 5 years at 5 5 compounded monthly

PV PMT ORD IY CY 1 CY 1 DPP 1 i PF 1 NCY x Years PV DUE PMT CY 1 PP CY 1 1 PP 1 ATTARE CY X 1 1 PY 4 marks Calculate the amount of each annuity on the date of the last deposit a A deposit of 500 at the end of each quarter for 10 years at 4 8 compounded quarterly MASUK BE BEAU deposit of 20 at the end of each month for 15 years at 7 2 compounded monthly

A T omino is a tile pictured at the right Prove that every 2 x 2 n 1 chessboard can be tiled with T ominoes Eu

3x 3y 6 3x 3y 6 of the lines in the system of equations by substitu

One side of a triangle is increasing at a rate of 4 cm s and a second side is decreasing at a rate of 2 cays If the area of the triangle remains constant at what rate does the angle between the sid change when the first side is 28 cm long the second side is 34 cm and the angle is a 47 Round your answer to three decimal places rad s