Questions

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

Differentiate the following function dx 16 X in 16 x x mx

Solve the following Equation for x 2x 5 2 772 2 X

xp Ap x 2ex 2x

Differentiate the function v Inf5x 6x 5 Y

solve the following equating fork 3 2 2x 1 3 2 7 X

Differentiate the following function x x ex Y dy

solve the following equation for X 10 108x 0

y In x 5 3x 8 1 8 axin x 5 3x 81 x

Find the derivative of the function y 4 cot ne y

Find an equation of the tangent line to the curve at the given point y sin sin x 0

Write the composite function in the form f g x Identify the inner function u g x and the outer function y f u y 1 7x g x f u Find the derivative dy dx dy dx

WAGE Assume that the accounting and actuarial industries employ people with similar skills Suppose a decrease in the their wages while the demand for accountants remains the same The following graph shows the labor market for accountants in the United States Show the effect of the fall in demand for actuaries on the U S labor market for accountants by shifting the labor demand curve the labor supply curve or both Supply Demand Demand Supply