Questions

8 A successful alumni of UNO wants to establish a scholarship that will pay 2 engineering students 4000 per semester per year assume the students can enroll for only 2 semesters a year If the university earns 6 on endowment accounts what amount must be deposited today by the alumni Hint first calculate the total amount that is required each year for 2 students for 2 semesters

On May 3 2020 Leven Corporation negotiated a short term loan of 630 000 The loan is due October 1 2020 and carries a 5 20 interest rate Use ordinary interest to calculate the interest What is the total amount Leven would pay on the maturity date Use Days in a year table Note Do not round intermediate calculations Round your answer to the nearest cent Maturity value

5 A machine costs 125 000 to purchase and will provide 15 000 per year in additional revenue for 10 years At the end of 10 years the machine can be sold for 35 000 What is the NPV of this machine if the relevant rate of interest is 6

1 How much must be deposited into a savings account in year 0 that pays 7 interest in order to make the following withdrawals Year Cash flow 0 1 0 2 3000 3 4000 4 2500 5 4500

The monthly incomes for 12 randomly 4450 93 4596 75 4366 68 selected people each with a bachelor s degree 4455 89 4151 48 3727 53 in economics are shown on the right Complete parts a through c below 4283 44 4527 81 4407 28 3946 27 4023 68 4221 55 Assume the population is normally distributed a Find the sample mean x Round to one decimal place as needed

In a random sample of 6 cell phones the mean full retail price was 547 90 and the standard deviation was 188 00 Further research suggests that the population mean is 433 06 Does the t value for the original sample fall between to 99 and to 99 Assume that the population of full retail prices for cell phones is normally distributed The t value of t fall between to 99 and to 99 because to 99 Round to two decimal places as needed

The grade point averages GPA for 12 randomly selected college 2 4 3 4 2 6 students are shown on the right Complete parts a through c below Assume the population is normally distributed 1 8 0 9 4 0 2 4 1 5 3 9 0 3 2 2 3 1 a Find the sample mean x Round to two decimal places as needed

14 A corporate bond is sold for 920 It pays interest of 60 every year and is valid for 10 years At the end of 10 years the bond issuer will redeem the bond for 1000 If you purchase the bond and hold it for the 10 years what would your rate of return be

10 Dorothy invested 250 000 in a rental property She earns net revenue of 50 000 per year from the property If she keeps the property for 10 years what is her rate of return Here assume the salvage value is 0

13 The owner of a corner lot is trying to decide between two alternate uses for the land His options are Fast food rest Gas station Initial cost 800 000 1 100 000 Y1 net benefit 150 000 190 000 Y2 net benefit 150 000 225 000 Y3 to Y10 150 000 275 000 The salvage value for both options is 0 at the end of 10 years The owner has an MARR of 15 for all projects Using IRR analysis which project would you recommend

7 A company is planning to purchase a new machine to meet increased demand Both options under consideration have useful lives of 10 years and no salvage value at the end Cash flows for both are as follows Annual maintenance Annual Machine Initial Cost costs income A 400 000 20 000 80 000 B 650 000 30 000 160 000 Use NPV analysis to determine which machine would be a better option Interest rate is 8 Hint first compute the net annual benefit annual cost annual income

12 Byron deposited 20 000 in a savings account 15 years ago He withdrew 85 000 today and closed the account Compute the rate of interest on the account

9 A company is planning to purchase a new generator Generator A has a useful life of 5 years while Generator B has a useful life of 10 years The salvage value of both is zero at the end of their useful lives Cash flows are as follows Generator Initial Cost Annual benefit Useful life A B 6 500 12 000 1 800 5 years 2000 10 years Use a 10 year analysis period and 8 interest rate to determine which generator the company should purchase

a 20 b C d

Look at the graph 10 5 10 0 5 5 10 x 10 10 What is the equation of the vertical asymptote

at graph 10 5 X 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote

According to research children who are exposed to more than one language in early childhood are able to learn and separate the two languages become confused and are unable to separate the two languages usually end up with impaired language development can become fluent in one of the languages but not the other

U X 24 58 38 W

3 Rhombus H 1 3 I 2 7 J 2 6 K 3 2 HJ IK Slope HJ Slope IK

A child who has developed scaffolding executive function Osymbolic thought theory of mind has ideas about other people s thinking

105 84 g e

m n h P k

Look at the graph 5 10 5 0 5 10 What is the equation of the horizontal asymptote

A pack of 36 black sharp tip markers costs 34 49 What is the price of one marke 0 96 0 90

Beyond age which of the following has been shown to influence when a child exhibits theory of mind Olanguage development and having siblings numerical understanding and attachment style Oheight and weight social interaction and private speech

65 0 127

So T 26 a Classify the angle above and calculate the supplement and complement of the angle

4 Kite R 5 7 S 2 6 T 5 3 V 4 0 RT SV Slope RT Slope SV

128 d e 68 C Calculate the values of c d a

2 Rectangle M 3 2 N 4 1 O 2 3 P 3 0 MO NP Slope MO Slope NP

Graph each quadrilateral draw its diagonals for each diagonal find the length d x x y y and the slope m then describe the properties of that quadrilaterals diagonals 1 Isosceles Trapezoid A 3 2 B 4 2 C 4 2 D 3 2 AC BD Slope AC Slope BD

146 125 130 X

D Identify the correct name for the diagram above O CD 18 18 DC

X Rectangle O Rhombus Trapezoid O Parallelogram

W X Classify the angle above and calculate the supplement of the angle

c Identify the correct name for the diagram above O QR ORQ 111 O QR OR

Q O Rectangle O Rhombus O Trapezoid O Parallelogram

f R Rolmak zere f x x3 3x 4x 1 oldu una g re f 1 ifadesinin de erini bulunu

5 6 pts Find the absolute global maximum and absolute global minimum of f x 2x 6x on 0 3

An aquarium reports that guests mean visit time is 134 minutes Benjamin a dolphin trainer at the aquarium believes the mean visit time is not accurate for guests who visited in the past week Benjamin randomly surveys guests who visited the aquarium in the past week and receives 28 responses He calculates a sample mean of 137 minutes with a sample standard deviation of 3 5 minutes Conduct a significance test using a significance level of a 0 01 for the mean and make a conclusion 1 point 4 536 2 771 Benjamin rejects the null hypothesis The data suggests that the mean time for guests is not 134 minutes over the past week 4 454 2 771 Benjamin rejects the null hypothesis The data suggests that the mean time for guests is not 134 minutes over the past week 4 454 2 771 Benjamin fails to reject the null hypothesis The data suggests that the mean time for guests is 134 minutes over the past week 4 536 2 771 Benjamin fails to reject the null hypothesis The data suggests that the mean time for guests is 134 minutes over the past week

Use the formula A Pe to solve 11 IF 5000 is invested in a savings account that pays 7 85 interest compounded continuously how much money wil be in the account after 12 years

4 2 4x 62 5 12e3x 2 8 6 log3 x 1 4

7 In 2x 4 8 1 In x 2 9 In 2x 5 3

12 If 10 000 is invested in a savings account that pays 8 65 interest compounded continuously in how many years will the balance be 250 000 Round to the nearest tenth

5 10 A 50 meter tunnel must be constructed as part of a new aqueduct system for a city Two alternatives are being considered One is to build a full capacity tunnel now for 500 000 The other alternative is to build a half capacity tunnel now for 300 000 and then to build a second parallel half capacity tunnel 20 years hence for 400 000 The cost of repair of the tunnel lining at the end of every 10 years is estimated to be 20 000 for the full capacity tunnel and 16 000 for each half capacity tunnel Determine whether the full capacity tunnel or the half capacity tunnel should be constructed now Solve the problem by B C ratio analysis using a 5 interest rate and a 50 year analysis period There will be no tunnel lining repair at the end of the 50 years

A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time One end of tunnel starts at the point A 354 310 299 and s constructed in a straight line in the direction 71 61 6k whilst the other end of tunnel starts at the point B 156 150 81 and is constructed in a straight line in the direction 81 8j 4k The starting points and the direction vectors of both ends of the tunnel are measured in metres Verify that the tunnels being constructed from both ends meet by first finding the vector form of the equations of both tunnels and then finding their intersection point P 25 marks

You may need to use the appropriate appendix table or technology to answer this question A population has a standard deviation of 12 If a sample of size 36 is selected from this population what is the probability that the sample mean will be within 2 of the population mean O 0 6827 0 3413 0 6827 Since the mean is not given there is no answer to this question

Sampling distribution of x is the O probability distribution of the sample proportion O mean of the population O probability distribution of the sample mean mean of the sample

The 79 employees of your company are listed alphabetically and assigned two digit numbers from 01 to 79 To select five employees for a simple random sample you use pairs of digits from random number table below moving horizontally across the table 91244 62400 39878 89035 98424 12521 The employees that would be included in the sample would be those corresponding to the numbers 24 46 24 00 39 91 24 46 24 00 24 46 39 35 42 O 91 24 46 24 39

olve me following equation forx Let x 2x tx X 2 20 2 64 0 X