Basic Math Questions and Answers

The maintenance cost of this house each year is set at 4 of the market value of the house According to Mr Tristani this cost goes up by about 3 each year as does the value of the house Calculate the maintenance costs for the first 5 years of the house The increase in the rate of maintenance has been done for you Year of home ownership 1 NO 2 3 4 in Market value of house 400 000 412000 424360 Rate of maintenance 4 0 Maintenance costs 16000 16974 4 17992 86

A transit company operates commuter trains to help people get to the city each day Each train travels on a straight route to and from the farthest station stopping at other stations along the route The graph shows the distance y miles the train is from the station after x minutes Commuter Train Distance Distance from the Station miles 25 20 y 0 10 20 30 40 50 60 70 80 Time minutes Formula Sheet Calculator Referen Type your answer in the box You may use numbers a decimal point and or a negative sign in your answer Based on the graph what was the average speed in miles per minute of the trai during the interval of 30 to 40 minutes

The function models the number of accidents f x per 50 million miles driven as a function of a driver s age x in years where x includes drivers from ages 16 through 74 inclusive The graph of f is shown Find and interpret f 35 Identify this information as a point on the graph of f Find f 35 f 35 Simplify your answer Type an integer or a decimal Interpret 35 Number of Accidents 1000 For year old drivers there are accidents per 50 million miles driven Simplify your answers Type an integers or decimals Identify this information as a point on the graph of f 16 x 0 4x 36x 1000 45 Age of Driver 74 Q G

Evaluate f x for the given values for x Then use the ordered pairs x f x from the table to graph the function f x x 2 N 3 2 1 0 1 12 1 2

R 0 049 12 0 049 48 12 18 694 90 1 429 68

25456 61 x 0 064 12 1 170 069 48

Now try a few on your own Problem Emilio is working on a project involving the use of metal rods He knows that one rod must be 20 cm longer than the other He also knows that the combined length of the rods is 42 cm Let y the length of the other rod Which two equations will help Emilio solve this problem Click on the correct answer x 20 y y 42 x y 42 x y 20 x x y 20 y 42 x x y 42 x 20 y

The cost of producing 430 stereo speakers is 2970 Producing 760 stereo speakers would cost 4950 Step 2 of 3 Assuming the total cost is a linear function write an equation for the cost of producing x stereo speakers Answer

11 1 point The graph shows the amount of an investment earning simple interest What is the annual simple interest rate 1600 1200 800 400 8 10 1300 1

4 1 point The graph of an amount in an account earning simple interest is linear

15 1 point Simplify 3 5 32 a 3 b 39 d 1

3 1 point Roots of numbers can be represented by rational exponents

standing Directions Select the most correct answer for each of the questions below 9 1 point The equation A 60 60 A 30 2 W can also be written as b A 30 2 V C A 60 2 d A 60 2

11 B y C Dik d zleminde C 4 0 B 2 0 AOC e kenar x gen ve koordinat m ABC a dir Buna g re cota de eri ka t r A 2 3 B 3 B 3 C C 4 3 D 5 3 E 2 3

A homeowner borrowed 6940 for landscaping He signed a 90 day note on May 10 at 12 interest Find the due date and the maturity value The due date month day is

Y ZZZ Y N N Y N Y ZZZ Y N N N N No N N Y Y N N No Cape Yes Tie ZZZ Y N N N Y N Yes No Smoke Yes Bad Good Good Is it always possible to find a consistent tree Bad O Yes regardless of the nature of your data you can always find a consistent tree O No there will always be some data that can t be split completely Yes but only if no two input vectors have N ZZZZZ N N N N 180 176 185 140 170 179

Y ZZZ N N N Y Y N N N N No Bad No N Z Z No N Y Y N N Mask Smokes Yes Height 175 ZZZ Yes N Good N No N Y N Bad Yes Ears Yes Good Bad Does the decision tree displayed above classify the training data correctly O Yes it classifies 100 of the data correctly ZZZ N N N Y N N 180 176 185 140 170 179

green c yellow and d not red fy your answer reen fy your answer allow 0 fy your answer CELE

Refer to the table which contains information about 36 jars of salsa available at a particular food pantry If a jar is randomly selected determine the probability that the salsa is Brand A If a jar is randomly selected the probability that the salsa is Brand A is Simplify your answer GEILD Brand Mild Medium Hot Total C 1 10 4 11 15 36 A B C Total 3 5 0 8 6 2 8 16 7 12

medical researcher administers an experimental medical treatment to 200 patients The patients in the study are categorized by blood types A B AB and O The researcher observes atment had a favorable outcome for 18 of the 60 patients with blood type A 17 of the 68 patients with blood type B 2 of the 2 patients with blood type AB and none of the 70 patients De O Use this information to complete parts a through d Determine the empirical probability of a favorable outcome for those patients with blood type A tavorable A Type an integer or decimal rounded to the nearest hundredth as needed

green c yellow and d not red d 0 ify your answer SILD erms

ple choice test question has seven possible choices ou randomly select one of the choices what is the probability that you select the correct choice Du randomly select one of the choices what is the probability that you select an incorrect choice ou can eliminate four of the seven choices and randomly select one of the remaining choices what is the probability that you select the correct chc ou can eliminate four of the seven choices and randomly select one of the remaining choices what is the probability that you select an incorrect c correct Type an integer or a simplified fraction

given week a veterinarian treated the animals in the accompanying table Use this mation to complete parts a through c etermine the empirical probability that the next animal she treats is a dog Determine the empirical probability that the next animal she treats is a rabbit Determine the empirical probability that the next animal she treats is a bird P dog Type an integer or a simplified fraction CIE Animal Dog Cat Bird Rabbit Number Trea 35 40 5 20

The probability of an event that cannot occur is 0 The probability of an event that must occur is 2 1

L For any event A P A P not A 0 2 0 5 1

he probability of an event that cannot occur is

ch outcome of an experiment has the same chance of occurring as any other outcome the outcomes are ch outcome of an experiment has the same chance of occurring as any other outcome the outcomes are likely outcomes likely outcomes

he correct choice that completes the sentence below ity determined through a study of the possible outcomes that can occur for a given experiment is called

with an appropriate word phrase or symbol s bability determined by the relative frequency of occurrence of an event or actual observations of an experiment is called GIETS bability determined by the relative frequency of occurrence of an event or actual observations of an experiment is called probability probab

The possible results of an experiment are ca

I in the blank with an appropriate word phrase or symbol s subcollection of the outcomes of an experiment is called a n subcollection of the outcomes of an experiment is called a n

The first matrix is 1 x 2 and the second matrix is 2 x 2 The product of these two matrices is a Step 2 Multiply the row of the 1 x 2 matrix with the first column of the 2 x 2 matrix 5 8 40 7 9 63 40 63 Step 3 Multiply the row of the 1 x 2 matrix with the second column of the 2 x 2 matrix 5 10 50 7 11 77 63 50 Step 4 Construct the product matrix 40 6 77 50 77 X 2 matrix

Multiply the matrices 2 245 6 7 8

Use the indicated row operation to change matrix A where 1 5 1 9 A 6 1 5 7 55 Add 7 times row 1 to row 3 of matrix A and place the result in row 3 to get 0 in row 3 column

Multiply the matrices 57 68 24

Part 4 The following is a balance sheet of the Gamma bank in millions of dollars Assets Required reserves 8 Excess reserves 17 Treasury bills 30 Commercial Loans 37 Mortgage 8 X Liabilities Checkable Deposits 80 CB Loans 13 Common Stock 5 Bad debt provision 2 1 What is the non risk based capital requirement of Gamma Bank Does it comply with Basel 3 standard 5 points 2 What is the Tier 1 capital ratio 5 points 3 The bank makes a loan commitment of 15 million to a commercial customer and discovers 1 million bad loans that should write off from the balance sheet Calculate the bank s Tier 1 capital ratio before and after the agreement 5 points Note Show all the details of balance sheet analysis 4 In what capitalization capital risk category would the bank be placed before and after the operation and why 5 points

2 36 Determine the reactions at the supports A and B Assume the support at B is a roller C is a fixed connected joint 15 k 4 ft 10 k 4 ft C 7 k ft 10 ft B

8 Use the quadratic formula to solve each of the following for x Use two decimal places where necessary K 5 3x 5x 1 0

solve the following homogeneous systems of differential equations Y 10 10 9 4 2 Y

5 Use exponent laws to simplify 16m 2m n 5n 10mn K 4

10 Frank s parents invested 4000 by opening an account in his name when he was fist born The account paid interest at 5 a compounded semi annually A 3 a How much could Frank withdraw on his sixteenth birthday b How much of the withdrawal is interest

Given g x 5x 4x determine each of the following K 5 g 2 b g x 3

6 Factor and simplify and state restrictions x 9x 18 10xy x 2x 15 5x 25x K 5

1 Factor each of the following K 3 a x 7x 12 b 3x 14x 8

Amy is taking out a mortgage for 158 000 to buy a new house and is deciding between the offers from two lenders She wants to know which one would be the better deal over the life of the mortgage loan and by how much Answer each part Do not round intermediate computations and round your answers to the nearest cent If necessary refer to the list of financial formulas a A bank has offered her a 15 year mortgage loan at an annual interest rate of 3 4 Find the monthly payment 0 b An online lending company has offered her a 40 year mortgage loan at an annual interest rate of 3 4 Find the monthly payment 0 c Suppose Amy pays the monthly payment each month for the full term Which lender s mortgage loan would have the lowest total amount to pay off and by how much Bank The total amount paid would be less than to the online lending company Online lending company

2 4 Solve Prob 2 3 with a 10 ft b 15 fi

Cylinder a Cylinder b Rectangular block c Rectangular block d Rectangular block e 1 cm 1 89 Average 2 20 3 81 3 78 3 62 True density 2 cm Standard deviation 2 59 3 09 Density statistics for five objects Coefficient of variation CV 2 32 2 22 2 12 3 cm N A N A 1 19 1 12 1 09 8 198 13 813 Complete the following table with the statistics for your density calculations Report Table ME 4 Calculation of Density statistics 12 341 11 489 9 561 cm Table view List view Density g cm 1 168

When a cold drink is taken from a refrigerator its temperature is 5 C After 25 minutes in a 20 C room its temperature has increased to 10 C Round your answers to two decimal places a What is the temperature of the drink in C after 35 minutes C b After how many minutes will its temperature reach 17 C min

www awu aleks com alekscgi x ist exe 1o u IgNslla7j8P3H lis SdZFdonGg9pin SETS Interpreting Venn diagram cardinalities with 2 sets for a real Try Again Your answer is incorrect A drug trial had 424 participants A survey was taken to determine how many had nausea as a side effect and how many had anxiety as a side effect The Venn diagram below shows the results Each number gives the number of participants who fall into that Venn diagram category All participants in the survey Had Had anxiety a How many of the participants had nausea 21 participants By again neither nausea nor anxiety Angella 6 S

By using the definition of a subspace determine if the following is a subspace of appropriate R File Preview 21 12 T3 TA ER 321 22 6x4 0 and x3 0