College Math - Others Questions

Without using a calculator estimate the value of the following Show your process a log2400 b log350

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places e4x 5e2x 36 0 x

Nancy wants to invest 2000 in saving certificates that bear an interest rate of 7 75 per year compounded semiannually How long a time period should she choose to save an amount of 3000 Round your answer to two decima places x yr

Solve the logarithmic equation for x Enter your answers as a comma separated list Round your answer to four decimal places In x 1 In x 2 1 x

Solve the logarithmic equation for x Enter your answers as a comma separated list log5 x 8 logs x 8 2 x

Solve the logarithmic equation for x Enter your answers as a comma separated list log21 x 3 log21 x 1 1 x

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places 5 35 5 2 0 x

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places e2x 7ex 6 0 x 1n 6 0

Solve the equation Enter your answers as a comma separated list 26 64 6 0

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places x25x 3xe5x5x 0 x

Solve the equation Enter your answers as a comma separated list 5x3e 4x 8xe 4x 0 x

Use the Laws of Logarithms to evaluate the expression log log 101000

Use the Laws of Logarithms to expand the expression log x y

Use the Laws of Logarithms to evaluate the expression log3 15 log3 35 log3 63

Jim Ryan an owner of a Burger King restaurant assumes that his restaurant will need a new roof in 5 years He estimates the roof will cost him 9 700 at that time What amount should Jim invest today at 4 compounded quarterly to be able to pay for the roof Use the Table provided Note Do not round intermediate calculations Round your answer to the nearest cent Answer is complete but not entirely correct Amount to be invested 7 949 52

A Find the kernel and the range of the linear transformation 1 5pt T R R T x y R T x y z z y x 1 2 1 2 5pt A 0 2 1

sin 3x sinx Cos3x cosx cot x y 2

3000 A country that is the major supplier of a certain commodity wishes to improve its balance of trade position by lowering the price of the commodity The demand function is q 2 P a Compute E p b Will the country succeed in raising its revenue a E p Simplify your answer

81 For the demand function q 2 4 find E p and determine if demand is elastic inelastic or neither at p 4 p E p

If f x 4 show that Rx 1 x 1 h if x 4 then xh 100 If

Find the exact values of the six trigonometric functions of the angle e shown in the figure y sin e cos e tan e CSC 0 sec 0 3 9 X

The doubling time for the amount of sick people infected by a virus is 27 days If we begin with 54 sick people calculate the value of b to complete the model below which gives the amount of the sick people in t days f t 54 b Enter your answer for b in the box below rounded to three decimals

Prove the identities 1 tanu cscu sinu cosu 1 cscx 2 cos x cotx secx 3 cscx cot x csc x cot x

A pianist plans to play 5 pieces at a recital from her repertoire of 25 pieces How many different recital programs are possible

Editors plan review and revise content for publication Although most editors work in offices a growing number now work remotely from home The work can be stressful because editors often have tight deadlines Proficiency with computers and a bachelor s in communications journalism or English are typically required to become an editor The median annual wage for editors was 54 890 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Editors Editors review story ideas and decide what material will appeal most to readers Editors evaluate submissions from writers to decide what to publish They also typically allocate space for the text photos and illustrations that make up a story A local newspaper is planning a 5 part series of articles on gun control The editor has received 19 submissions from his writers He must decide which articles to publish and the sequence in which to publish them How many different options are there for the editor to consider

How many ways can 6 DVDs be arranged on a shelf

2 3 a How many different ways can a race with 8 runners be completed Assume there is no tie Your answer is

Find the inverse of the matrix if possible If an answer does not exist enter DNE in any cell of the matrix 141 4 15

Complete the following without using Table12 1 Note Round the Total amount and Total interest to the nearest cent Time Principal Rate of compound Compounded Periods Rate Total amount Total interest years interest 1 410 8 Quarterly

Tony Ring wants to attend Northeast College He will need 50 000 5 years from today Assume Tony s bank pays 6 interest compounded semiannually What must Tony deposit today so he will have 50 000 in 5 years Use the Table 12 3 provided Note Do not round intermediate calculations Round your answer to the nearest dollar amount Amount to be deposited

Jazelle Momba wants to visit her family in Zimbabwe in 2028 which is 6 years from now She knows that it will cost approximately 8 300 including flight costs on the ground costs and extra spending money to stay for 4 months If she opens an account that compounds interest at 6 semiannually how much does she need to deposit today to cover the total cost of her visit Use Table 12 3 Note Round your answer to the nearest dollar Deposit

Complete the following using present value Use the Table 12 3 Note Do not round intermediate calculations Round the PV factor to 4 decimal places and final answer to the nearest cent Amount desired at end of period On PV Table 12 3 Length Rate Compounded PV factor used of time Periods used Rate used PV of amount desired at end of period

Sam Long anticipates he will need approximately 226 200 in 15 years to cover his 3 year old daughter s college bills for a 4 year degree How much would he have to invest today at an interest rate of 8 compounded semiannually Use the Table provided Note Do not round intermediate calculations Round your answer to the nearest cent Amount

Lynn Ally owner of a local Subway shop loaned 52 000 to Pete Hall to help him open a Subway franchise Pete plans to repay Lynn at the end of 10 years with 6 interest compounded semiannually How much will Lynn receive at the end of 10 years Use the Table provided Note Do not round intermediate calculations Round your answer to the nearest cent Future value

2 1 point The Triangle Inequality states that if u and are vectors in R then This theorem merely states that the length of a side of a triangle is less than the sum of the lengths of the other two sides Verify the Inequality for the vectors 1 1 0 and 0 1 2

1 1 point The Cauchy Schwarz Inequality tells us that if we have two vectors u and in R then Note that on the left stands for absolute value and on the right denotes the length of a vector Verify the Cauchy Schwarz Inequality for 1 1 0 and 0 1 1

15 A road construction company is considering the purchase of a new bulldozer They can purchase one for 380 000 if they pay in one installment Or they can pay 120 000 every quarter for one year Compute the effective annual rate of interest for the quarterly payment Use incremental IRR analysis to solve Fill in the incremental difference table below then calculate the incremental IRR Quarter Annual payment Qtrly payment Incremental diff annual qtriy 0 1 PV PMT

You have 5 000 in the bank comfortably earning 48 interest compounded monthly Your cousin needs 5 000 to buy a new car In order to get the same total return what interest rate r should you request from her if the money you lend her is to be compounded continuously Exact Interest rate without using a calculator r 48 Interest rate as a percent rounded to 2 decimal places 48

5x List all points on the graph of y tan x on the interval 2 that have a y coordinate of 3 2

e top of a ladder slides down a vertical wall at a rate of 0 675 m s At the moment when the bottom of the ladder is 6 m from the wall it slides away from the wall at a rate of 0 9 m s How long is the lad

wo sides of a triangle have lengths 11 m and 18 m The angle between them is increasing at a rate of 2 min How fast is the length of the third side increasing when the angle between the sides of fixed length is 60 Round your answer to three decimal places m min

EXAMPLE 5 A man walks along a straight path at a speed of 5 ft s A searchlight is located on the ground 12 ft from the path and is kept focused on the man At what rate is the searchlight rotating when the man is 5 ft from the point on the path closest to the searchlight SOLUTION We draw the figure to the left and let x be the distance from the man to the point on the path closest to the searchlight We let be the angle between the beam of the searchlight and the perpendicular to the path We are given that dx dt 5 ft s and are asked to find de dt when x 5 The equation that relates x and 0 can be written from the figure X tan 0 x tan 0 Differentiating each side with respect to t we get SO dx dt de dt de dt dx dt 5 When x 5 the length of the beam is 13 so cos 0 12 and 13 de dt The searchlight is rotating at a rate of rad s

Gravel is being dumped from a conveyor belt at a rate of 15 ft3 min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal How fast is the height of the pile increasing when the pile is 13 ft high Round your answer to two decimal places x ft min

Two cars start moving from the same point One travels south at 48 mi h and the other travels west at 20 mi h At what rate is the distance between the cars increasing two hour

A baseball diamond is a square with side 90 ft A batter hits the ball and runs toward first base with a speed of 28 ft s 90 ft a At what rate is his distance from second base decreasing when he is halfway to first base Round your answer to one decimal place ft s b At what rate is his distance from third base increasing at the same moment Round your answer to one decimal place ft s

Process oriented layout Deals with low volume high variety production also called job shop or intermittent production True False Question 14 4 points The following statement describes Materials are moved directly from receiving to shipping and are not placed in storage in the warehouse A Cross Docking B Picking from a bin location C Bot A and B

2 A physician wants to develop criteria for determining whether a patient s pulse rate is atypical The physician collects a sample of n 40 men and determines that the sample has a mean pulse rate of M 69 4 and a standard deviation of SM 12 3 The researcher also collects al sample of nw 35 women and determines that the sample has a mean pulse rate of w76 3 and a standard deviation of sw 12 5 a Construct a 95 CI estimate for the mean pulse rates of males and a 95 CI estimate for the mean pulse rates of women b By comparing the preceding results do you think it s reasonable to conclude that the mean pulse rates for males and females are different Why or why not

The stockholders equity of Merkovsky Company at the beginning and end of 2016 totaled 127 000 and 137 000 respectively Assets at the beginning of 2016 were 151 000 If the liabilities of Merkovsky Company increased by 67 000 in 2016 how much were total assets at the end of 2016 Use the accounting equation a 218 000 6 228 000 c 74 000 d 221 000

Graph the polar equation Create a chart of many ordered pairs in polar form and plot the points to show your work r 4sin20

Verify the identity cot csct csct sint To verify the identity start with the more complicated side and transform it to look like the other side Choose the correct transformations and transform the expression at each step cot 2 csct csct Do not simplify csct sint