Algebra Questions

Assessment 36 A restaurant has 15 pounds of alligator meat to make tasty alligator dishes PART A PART B Each pot of alligator stew requires 23 pounds of alligator meat Which solution shows how many pots of alligator stew can be made The restaurant could make a stew that uses 13 pounds of a many more smaller pots of a made than the larger pots A 36 pots 15 1 233 pot 2 15 7 pots 15 23 6 pots 15 23

Consider this formula Z y X f z 4 0 and y 9 2 what is the value of x Express your answer to the tenths place i e one digit after the decimal poir

a 12 Determine the Net Rental Income and estimate the market value of the property using the Income Approach Assume state and adopt any variables necessary to arrive at your answer 8 Marks enable you b The Cost Method of valuation is a method of last resort Briefly comment on this statement and indicate which of the valuation methods is the most appropriate to adopt for valuation for the purpose of the sale of a commercial property assuming there is ample evidence or comparable data 12 Marks Answer on separate answer sheet B Q8 State Housing Company SHC wishes to purchase 1 5 ha of freehold land in good residential neighbourhood of Airport East in Accra at a price of GHC 4 500 000 00 Planning permission will be available to subdivide the land and erect 31 detached two storey houses on the land The estimated cost for each house excluding professional design fees is GH 1 000 000 00 The total development period from planning through construction to disposal will take four years including the construction period of 2 years Similarly properties in the neighbourhood have recently been sold for GH 2 500 000 00 each and the current going rents in the same neighbourhood averages GH 20 000 00 per month per unit SHC is happy with 16 per cent return on capital and a developer s profit of 20 per cent Making any assumptions you consider necessary Prepare a development appraisal to advice SHC to take a decision on the viability of the proposed development and express an expert opinion whether or not the houses should be let or sold outright b Assuming SHC is yet to negotiate on the price of land prepare a residual valuation to advise SHC on a reasonable price to pay for the land Assume and state any variable necessary to enable you arrive at your answer 20 Marks Answer on separate answer sheet

10 pts Looking at the data solve for the mean and median If there is an outlier circle that number a Game Score 1 17 2 16 3 16 4 17 5 19 6 15

4 10 pts Answer the following questions about the graph Our World World population growth 1750 2100 in Data 296 1 8 1 6 1 4 1 2 196 0 8 0 6 0 4 0 2 0 A Annual growth rate of the world population World population 0 9 Buition 1760 1780 1800 1 65 JY 7 4 lion Data sources Up to 2015 OurWorldinData sories based on UN and HYDE Projections for 2015 to 2100 UN Population Division 2015 Medium Variant The data visualization is taken from OurWorldinData org There you find the raw data and more visualizations on this topic a When did we have an annual growth rate of 1 b When will we have an annual growth rate of 1 c When will we have the highest annual growth rate 02 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2020 2040 2060 2080 2100 Projection 2015 11 2 0 1 Licensed under CC BY SA by the author Max Roser What will be the rate of growth when the population is 10 2 billion

Number of Organisms 200 180 160 140 120 100 80 60 40 20 D 100 Predator Prey Interaction Model 200 300 Generation 400 500 600 Rabbits Wolves Looking at this graph give a 60 second summary 5 6 sentences discussing observations you see independent and dependent variables is there a trend D

Reading Hour 0 Reading 2 4 1 2 3 2 2 9 3 2 3 4 2 1 Median Reading 2 3 5 2 0 6 2 11 1 2 1 2 3 2 3 2 4 2 3

est problem prompts below please show all work places if needed a A researcher in the Physics department was studying the behavior of a particle in motion The researcher ran several tests and came up with an average speed of 5 5 m s Although they got a good number they lost one of the data points Speed m s 5 6 5 7 5 5 Test 4 5 6 Speed m s 5 5 f st 5 4 Test 7 8 9 Speed m s 9 4 5 2 5 3 What had to have been the result of test 5 for our average to be 5 5 m s 5 2 5 3 5 4 5 5 5 5 5 6 5 4 2 4 5 6 b Going back through the data the researcher also noticed that one of the points was an outlier Identify the outlier and solve for the missing test value again but this time without including the outlier Is there a difference c The test of the outlier turned out to be a computer error thankfully though they is official missing value now

Curt can be paid in one of two ways for the furniture he sells Plan A Salary of 800 per month plus a commission of 10 of sales Plan B Salary of 900 per month plus a commission of 15 of sales in excess of 6000 For what amount of monthly sales is plan B better than plan A assuming Curt s sales are always more than 6000 Plan B is better than Plan A when Curt s sales are more than

Acme Movers charges 70 plus 20 per hour to move household goods across town Hank s Movers charges 55 per hour For what lengths of time does it cost less to hire Hank s Movers It costs less to hire Hank s Movers for times less than hours

Triangle ABC is translated using matrix subtraction Which represents the resulting vertices after the translation

point The table below shows Karen s distance during the marathon What is Brianna s rate of change for the first 2 hours of the race 28 28 24 22 20 lad 18 STOR 10 M 12 10 tance in Miles M M 2 O 0 1 2 3 4 5 Time In Hours 6 miles per hour 2 miles per hour 12 miles per hour 3 miles per hour 6 7 8 9 10

10 1 point The solution to the system of equations is 1 7 5x y 12 4x y 3 True False

1 1 point Kevin s savings account balance changed from 1140 in January to 1450 in April Find the average rate of change per month Round your answer to the nearest dollar 310 per month 50 per month 103 per month 78 per month DO

1 point On your own graph paper graph the system of equations and identify the solution Jy x 6 ly 0 6 3 3 3 3 3 0 6

8 1 point Solve the system of equations by substitution 7x 2y 13 x 2y 11 O 3 4 infinite solutions 2 5 3 4

9 1 point Solve the system of equations by substitution y 2 2 x y 12 O 14 12 5 3 0 1 7 5

6 1 point If a system of equations has infinite solutions what do you know about the graph The lines will intersect The lines will be the same The lines will be perpendicular The lines will never intersect

3 1 point The table below shows the cost of riding in a taxi cab What is the rate of change Miles Taxi Cab Driven 10 15 20 25 10 mile 1 mile 5 mile 2 mile Cost 25 35 45 55

At the city museum child admission is 5 80 and adult admission is 8 90 On Wednesday 154 tickets were sold for a total sales of 1110 20 How many child tickets were sold that day

thes transactions 1 Stockholders invested 52 000 cash and inventory with a fair value of 28 000 2 Sales on account 17 000 What will Martex s total assets equal OA 97 000 OB 52 000 OC 69 000 OD 80 000

Consider writing m Y2Y1 X2X1 Find the slope of the line shown If the slope is undefined input DNE 10 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 The slope is 2 3 3 4 5 6 7 4 5 7 8 9 10 1 2 3 4 5 6 7 8 9 10

Form a polynomial f x with real coefficients having the given degree and zeros Degree 5 zeros 2 i 9 i Enter the polynomial f x a Type an expression using on the variable Line intenors or fractions for any numbers in the expression Simplify your

Vertical asymptotes at x 4 and x 2 x intercepts at x 6 and x 3 y intercept at 6 y 56 x 6 x 3 18 x 4 x Preview Show Transcribed Text Write an equation for a rational function with Vertical asymptotes at x 3 and x 2

Write the equation of the ellipse that has a center at 5 1 a vertex at 5 8 and a covertex at 1 1

Solve the following inequality and graph your solution 2x 8 24 4x X ame 6x 2417x Possible solution Wednesday Thursday Homework 16 mplify the expressions 2 x 3 4 x 5 x 3 5 What value of x makes the equation true 4 3 2 x 3 x 6 8 What is the solution to x 5 2 x 3 x 23 3 Friday Homework Name Solve the following equations for y 3x 7y 1 2 6 y 3 1 2x

Find LAVE S TBCI Lat x 1 satl 1 x 5

Suppose each license plate in a certain state has two digits followed by two letters followed by two digits The letters Q and U are not used So there are 24 letters and 10 digits that are used Assume that the letters and digits can be repeated How many license plates can be generated using this format license plates X

Ozark Utica Belen Flint Salem Provo Arbor Clay Huron Dover b Write the set in roster form 0 In a certain county there is a passenger train service Let U be the set of train stations in the county The train stations in the county are along several train lines Let B be the set of stations that are along the Bronze Line Let P be the set of stations that are along the Purple Line Let Y be the set of stations that are along the Yellow Line Use the Venn diagram to get your answers below Consider this set which is written in descriptive form The set of stations that are not along the Bronze Line but are along the Purple Line or the Yellow Line a Which of these is a correct way to write the set OB n PNY OB U PNY OB n PUY OB U PUY Arbor Dover Ozark Utica 0 0 Belen Flint Provo Clay Huron Salem

2 Factor completely 12p 21p 28p 49

Find the solutions for f x x 7x 10

Identify key features from the graph below specifically the domain range min or max and the zeroes y H 7 6 5 4 3 2 7 6 654 3 321 2 1 2 23 3 4 5 34467o 6 y g x 1 2 3 4 5 6 7

a State and prove the Cayley Hamilton The b Let T be a linear operator defined on a vector space V F for n Zt Let A be a matrix representation for T with respect to some basis for V i Prove that the minimum polynomial of a linear operator T is well defined Hint Prove existence and uniqueness 7 marks ii Shout that is an oigonumlue of the linear operator A if and only if

Find the domain of the following function g x 7 6 x The domain is

Determine the domain of the following function y x 5 The domain is Type your answer in interval notation

Solve and graph the solution set 12x x 6 2 6x 1 x 7 x x The solution set is x x

Nick and his cousin Sara have the same birthday but Nick is four years older than Sara Let the variable x represent Nick s age and y represent Sara s age Which graph represents the relationship between Nick s age and Sara s age

In the 2009 2010 school year in country A there were 103 000 foreign students from country B This number is 23 more than the number of students from country C How many foreign students were from country C There were about students from country C Simplify your answer Round to the nearest thousands as needed

5 09 HC A message in a bottle is floating on top of the ocean in a periodic manner The time between periods of maximum heights is 26 seconds and the average height of the bottle is 12 feet The bottle moves in a manner such that the distance from the highest and lowest point is 6 feet A cosine function can model the movement of the message in a bottle in relation to the height Part A Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time t 5 points Part B Assuming that at t 0 the message in a bottle is at its average height and moves upwards after what is the equation of the function that could represent the situation 5 points Part C Based on the graph of the function after how many seconds will it reach its lowest height 5 points LL Font Family AAT A E

A boat moves at a rate of 13 mph in still water If the river s current flows at a rate of 2 mph how long does it take the boat to travel 26 miles upstream It takes hours Round to the nearest tenth

Money is borrowed at 10 simple interest After one year 996 60 pays off the loan How much was originally borrowed The amount of the original loan was

2 05 01 5 04 5 05 HC Part A Given cos 8 3 determine three possible angles 8 on the domain 0 00 5 points Part B Given 8 495 convert the value of 8 to radians and find sec 9 5 points B i U Font Famil

Find the zero of the linear function f x 2x 3 x Simplify your answer

1 05 03 05 04 HC Triangle AABC has side lengths of a 18 b 18 5 and c 36 inches Part A Determine the m2A 5 points Part B Show how to use the unit circle to find tan A 2 points Part C Calculate the area of AABC 3 points

3 05 01 5 05 5 07 MC Let 8 8 7 3 Part A What is a coterminal angle of 8 such that 0 0 2n 5 points Part B What are the exact values of all six trigonometric functions evaluated at 6 10 points

For what values is the statement cos cos 0 0 true Explain your answe

1 Factor completely Then find the x intercepts for the function below Show ALL steps in order to receive full credit f x 12x 10x 12

For all values of 0 for which the expression is defined Select the correct answer below O2cot 0 csc 0 2cos 0 sec 0 2sin cot 2sin cos 0 cos 20 tan 0

21 1 point Your club is selling hats and t shirts to raise money for Juvenile Diabetes You have already spent 240 on the hats and t shirts and plan to sell the hats for 5 each and the t shirts for 12 each Let x represent number of hats sold and y represent number of t shirts sold You must sell enough so that you earn more than the 240 you have already spent Which of the following inequalities represents this situation 12a 5y 240 5a 12y 240 60xy 240 5x 12y 240 Previous Next

25 1 point Write an explicit rule to represent the sequence 4 10 16 22 f n 4n 6 f n 6n f n 6n 10 f n 6n 2 Previous