Math - Others Questions

A country s population in millions in 2002 and 2010 are given below Use this information and the exponential model A P 1 r to find the growth rater for the country over this period population in 2002 137 million population in 2010 134 million The country s growth rate over this period was Round to the nearest hundredth as needed

When a drug such as a pain killer or an antibiotic is introduced into the body the kidneys work to eliminate the drug Assume that after an hour 20 percent of the drug in the body is eliminated After another hour 20 percent of the remaining drug is eliminated and so on If a person receives an injection of 300 mg of pain killer how much of the drug will remain in the person s body after two hours mg Round to the nearest whole number as needed CE

A country s populations in 2002 and 2010 are given below Use this information and the exponential model A P 1 r to find the growth rate for the country over this period population 2002 77 million population 2010 115 million The country s growth rate was approximately Round to two decimal places as needed C

A country s population in millions and the growth rate in 2015 are given below Use this information and an exponential model to estimate the country s population in the specified year population 241 million growth rate 0 85 year 2031 The country s population in 2031 will be million Round to the nearest hundredth as needed

A bank account has an initial deposit of 16 000 After 7 years the bank account has 21 000 Assuming that compounding interest is done annually and that no withdrawals are taken find the annual interest rate on the investment Points 0 of 1 If interest is compounded annually what is the approximate interest rate on the investment Do not round until the final answer Then round to the nearest hundredth Saw

You are given the principal in a bank at the beginning of a year and a rate of interest that is compounded annually Calculate the amount in the account at the end of the year 9000 9 percent If interest is compounded annually what is the amount of money after t 1 years Round to the nearest cent

K Find the linear equation whose graph passes through the given points Write the equation in slope intercept form 13 19 and 7 16 y Type an expression using x as the variable Use integers or fractions for any numbers in the expression Points 0

In 2009 the life expectancy of males in a certain country was 73 years and increasing at a rate of 0 4 year per year Model this situation by a linear equation use this equation to estimate the life expectancy of a male born in the country in 2026 Identify the appropriate problem solving method A The Three Way Principle B Try a Simpler Version of the Problem c Relate a New Problem to an Older One OD Be Systematic Let x be the number of years since 2009 and let y be the life expectancy of males Choose the equation of a line that models this situation A y 0 4x 73 B y 0 4x 73 c y 0 4x 73 OD y 0 4x 73 GEER Estimate the life expectancy of a male born in 2026 y years Type an integer or a decimal

7 2 The chart to the right indicates projected demand for nurses a Write a linear equation in slope intercept form that models the data b Use the equation from part a to project the demand for nurses in 2022 c Project the year when the demand for nurses will reach 5 million Part 2 of 3 a Which linear equation best models the projected demand for nurses OA y 0 04x 2 8 B y 0 04x 2 4 C y 0 04x 2 8 OD y 0 04x 2 4 b The projected demand for nurses in 2022 is million Type an integer or a decimal II Projected Demand for Nurses 2018 2008 Points 0 of 1 0 2 8 2 4 In Millions

Part 2 of 2 Points 0 of 1 Save In a certain year expenses at a four year public college averaged 10 900 and were increasing at a rate 680 per year Model this information with a linear equation and use the model to predic the average cost of attending a four year public college Let x be the number of years since a certain year and let y be the cost of attending a four year public college Choose the equation of a line that models the information A y 680x 10 900 OB y 680x 10 900 OC y 680x 10 900 D y 680x 10 900 The cost of attending a four year public college 11 years later is predicted to be

K Find the linear equation whose graph passes through the given points Write the equation in slope intercept form 13 3 and 6 3 TE y 0 Simplify your answer Type an expression using x as the variable Use integers or fractions for any numbers in the expression

K Find the linear equation whose graph passes through the given points Write the equation in slope intercept form 1 4 and 2 8 Identify the appropriate problem solving method Choose the correct answer below A The Three Way Principle B Relate a New Problem to an Older One OC Try a Simpler Version of the Problem O D Be Systematic Write the equation of the line in slope intercept form The equation is y Simplify your answer Type an expression using x as the variable

K Find a linear equation whose graph has the indicated slope and passes through the given point slope 3 point 3 2 The equation of the line is Simplify your answer Type your answer in slope intercept form COLOA

Points 0 of 1 GALLE Tamyra has invested 15 900 in the stock market Some of the stock is in Hunt Houses that costs 37 a share and the rest is in Simply Software that costs 69 a share Write an equation that models this situation Save Let h represent the number of shares purchased of Hunt Houses stock and let s represent the number of shares purchased of Simply Software stock What is the equation Do not include the symbol in your answer

According to a census there were 68 people per square mile this is called the population density in a certain country in 1980 By 2000 the number of people per square mile had grown to 78 This information was used to develop a linear equation in slope intercept form given below where x is the time in years and y is the population density Think of 1980 as year zero What is the population density expected to be in 2014 1 y x 68 In 2014 the population density is expected to be people per square mile ww

ts 0 5 OT A health club charges a yearly membership fee of 115 and members must pay 3 00 per hour to use its facilities How many hours did Michael use the club last year if his bill was 673 First writ an equation that describes the situation Use meaningful names for the variables Let B be the amount of the bill at the end of the year and let t be the amount of time in hours Michael used the club Use the variables to write an equation that describes the situation A B 3 00t 115 OB t 115 3 00 B OC t B 115 3 00 OD B 115t 3 00 Using the equation describing the situation calculate the number of hours Michael used the club facilities last year hours Simplify your answer Type an integer or a decimal Save

K Graph the equation by first finding the x and y intercepts 1 Use the graphing tool to graph the line Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge graph Points 0 of 1 Ay 10 8 2

4 ces Direct materials 61 000 pounds 5 10 per pound Direct labor 23 000 hours 12 30 per hour Overhead costs Indirect materials Indirect labor Power Maintenance Depreciation Building Depreciation Machinery Taxes and insurance Supervisory salaries Total costs Actual Cost 0 2 Compute the direct materials variance including its price and quantity variances Note Indicate the effect of each variance by selecting favorable unfavorable or no variance 0 41 650 176 150 17 250 34 500 24 000 94 500 16 200 293 000 311 100 282 900 0 697 250 1 291 250 0

Check my work Manuel Company predicts it will operate at 80 of its productive capacity Its overhead allocation base is DLH and its standard amount per allocation base is 0 5 DLH per unit The company reports the following for this period Production in units Overhead Variable overhead Fixed overhead Total overhead Flexible Budget at 80 Capacity 53 250 292 875 53 250 346 125 Required 1 Required 2 Actual Results 49 200 347 900 1 Compute the overhead volume variance Indicate variance as favorable or unfavorable 2 Compute the overhead controllable variance Indicate variance as favorable or unfavorable Complete this question by entering your answers in the tabs below Compute the overhead controllable variance Indicate variance as favorable or unfavorable Note Indicate the effect of the variance by selecting favorable unfavorable or no variance Controllable variance

10 1 of 2 s Book Hint Print rences Required information The following information applies to the questions displayed below Manuel Company predicts it will operate at 80 of its productive capacity Its overhead allocation base is DLH and its standard amount per allocation base is 0 5 DLH per unit The company reports the following for this period Production in units Overhead Variable overhead Fixed overhead Total overhead Flexible Budget at 80 Capacity 53 250 1 Standard overhead rate 2 Standard overhead applied 3 Overhead variance 292 875 53 250 346 125 Actual Results 49 200 Check my work 347 900 1 Compute the standard overhead rate Hint Standard allocation base at 80 capacity is 26 625 DLH computed as 53 250 units x 0 5 DLH per unit 2 Compute the standard overhead applied 3 Compute the total overhead variance Note Indicate the effect of the variance by selecting favorable unfavorable or no variance marks Bookma

13 points eBook Hint Print References Mia Wiz sells computers During May it sold 600 computers at a 800 per unit price The fixed budget for May predicted sales of 650 computers at an per unit price of 780 AQ Actual Quantity SQ Standard Quantity AP Actual Price SP Standard Price 182 Compute the sales price variance and the sales volume variance for May Identify it as favorable or unfavorable Note Indicate the effect of each variance by selecting favorable unfavorable or no variance Actual Sales 0 Check my work Flexible Budget 0 Budgeted Sales 2021 marks

A candy jar contains 10 red jelly beans 9 yellow jelly beans 8 pink jelly beans 7 black jelly beans and 6 green jelly beans SHOW YOUR WORK 9 What is the probability of pulling a green jelly been out 10 What is the probability of pulling a green one out and THEN pulling a green or red one out don t forget once you pull the first green one out your sample size has decreased by one

Solve the formula for the specified variable V 1 X vd for v

Find the intercepts and then use them to graph the equation 4x 2y 8 CODE Use the graphing tool to graph the line Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge graph 2 Ay 10 18 10

UNIT III The 30 students in MAT101 just completed the final exam The results are as follows 85 90 58 68 79 85 90 64 score 88 81 85 90 64 88 81 85 72 64 74 81 90 72 64 74 81 6 Complete a frequency chart for the test scores no work to show 90 72 68 74 81 frequency

K Solve the formula for the specified variable 9 0 q 1 qz for q

Solve the equation for the stated variable Solve C H 1 rb for r for r r Simplify your answer

UNIT II For the 25 years I will be depositing 250 00 a month into an account earning 3 5 compounded monthly 3 How much money have I deposited over the 25 years Show all work

K Given the two terms in the Fibonacci sequence shown below find the specified term F26 121 393 F27 196 418 find F25 F25

Part 2 of 2 a a13 31 b The sum of the terms from a to a13 inclusive is For the following arithmetic sequence a find the specified term an and b find the sum of the terms from a to an inclusive 7 9 11 13 find a13 HW Score 35 3 Points 0 5 of

nts 0 of 1 In 2022 the country will have a population of million Round to the nearest integer as needed Sa The population and the growth rate as of 2013 for a country are shown below Assume that the growth rate remains the same from year to year Determine the size of the population in 2022 Population in 2013 155 million growth rate 0 698

For the given arithmetic sequence find a18 and then find the sum of the terms from a to a 8 inclusive 8 12 5 17 21 5 Find a18 a18 Type an integer or a decimal

K Given the two terms in the Fibonacci sequence shown below find the specified term F31 1 346 269 F32 2 178 309 find F30 F30

K 4 When dropped a ball rebounds to of its original height How high will the ball rebound after the 6th bounce if it is dropped from the height of 25 ft 25 On the 6th time it rebounded ft Round to 4 decimal places

For the following geometric sequence find an 4 8 16 32 find a12 a12

K For the following geometric sequence find an 3 6 12 24 find a13 813

K Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 2 10 50 250 Select the correct answer below and if necessary fill in the answer box to complete your choice OA This is not a sequence OB The sequence is geometric The next two terms in order are Type integers or fractions OC The sequence is arithmetic The next two terms in order are Type integers or fractions and and

Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 9 11 13 15 Select the correct answer below and if necessary fill in the answer box to complete your choice OA The sequence is geometric The next two terms in order are Type integers or fractions OB This is not a sequence OC The sequence is arithmetic The next two terms in order are Type integers or fractions and and

K For the following arithmetic sequence a find the specified term an and b find the sum of the terms from a to an inclusive 7 9 11 13 find a a 13 a13 C

K Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 1 1 1 2 8 32 2 Is the sequence arithmetic or geometric A Geometric OB Arithmetic List the next two terms in the sequence 1 1 1 2 28 32 Type integers or simplified fractions

Length 1 foot 12 inches 1 yard 3 feet 36 inches 1 mile 5280 feet 1 inch 2 54 centimeters 1 foot 30 48 centimeters 1 yard 0 9144 meter 1 meter 1 0936 yards 1 mile 1 609 kilometers Volume 2 cups 1 pint 2 pints 1 quart 32 fluid ounces 1 quart 4 quarts 1 gallon 1 cup 0 2366 liter 1 quart 0 9464 liter 1 liter 1 0567 quarts Mass 16 ounces 1 pound 2000 pounds 1 ton 1 metric ton 1 000 kg 1 ounce 28 grams 2 2 pounds 1 kilogram 1 1 tons 1 metric ton 1 If a car averages 25 miles per gallon how many kilometers per liter would that be Show all work

Harry and Sally can both produce fish and fruit Sally can produce 1 kg of fish in 4 hours and 1 kg of fruit in 5 hours Harry can produce 1 kg of fish in 5 hours and 1 kg of fruit in 2 hours Each person wants to have 4 kgs of fish and 6 kgs of fruit per week Each person works for 20 hours a week Who has an absolute advantage in fish Who has an absolute advantage in fruit O Sally Sally O Harry Sally Sally Harry O Harry Harry O Both Both

Use the logarithm change of base formula to convert each of the following logarithms to the specified base Then use a calculator to approximate the logarithm Round approximations to four decimal places Convert log 1 2 from base 11 to base 2 log 12 log 11 log 12 Convert log 12 from base 9 to base e x which is approximately equal to 0 2891 log 12 log 1 x which is approximately equal to 1 1309 of

9 In still water Maria can paddle at the rate of 7 km h The current in which she paddles has a speed of 4 km h a At what velocity does she travel downstream b Using vectors draw a diagram that illustrates her velocity going downstream c If Maria changes her direction and heads upstream instead what is her speed Using vectors draw a diagram that illustrates her velocity going upstream

Assignment 9 Problem 26 1 point Find the distance of the point 3 3 5 from the line r t 1 4t 1 3t 7 3t Answer

1 point An implicit equation for the plane passing through the points 0 1 1 3 3 3 and 2 1 5 is

Assignment 9 Problem 30 1 point Find the intersection of the lines r t 1 2t 7 2t 22 8t and R s 6 5s 12 5s s Write your answer as a point a b c where a b and care numbers Answer Note If there is no intersection write none

1 point The plane that passes through the point 0 3 5 and is perpendicular to both 2x y z 9 and 5x 3y 3z 2 has equation as its implicit

1 point Determine whether the points lie on a straight line Answer Yes or No 27 1 A 0 0 0 B 7 1 3 and C 28 4 12 2 D 7 1 3 E 8 1 6 and F 12 9 18 3 G 1 0 1 H 2 7 8 and I 8 21 22 Note You only have two attempts at this problem

Let N t be the number of people at a school who have heard a certain rumor Suppose that this can be modeled by the function 140 N t 2 8e 0 5t where t is time in days Part 1 How many people have heard the rumor after 3 days Round your answer to the nearest whole number people Part 2 What number of people will have heard the rumor in the long run Round your answer to the nearest whole number A graph is one way to approach this question people