Math - Others Questions

The line graph to the right shows the average gasoline prices of a country from 1990 through 2015 Let p q and r represent the following simple statements p Prices peaked in 2010 q Prices remained steady from 1995 through 2000 r Prices were more than 2 75 per gallon in 2015 Write the symbolic statement p q in words Then use the information given by the graph to determine the truth value of the statement Write the symbolic statement p q in words Choose the correct sentence below O A Prices did not peak in 2010 and prices remained steady from 1995 through 2000 OB Prices peaked in 2010 and prices remained steady from 1995 through 2000 OC Prices peaked in 2010 and prices did not remain steady from 1995 through 2000 OD Prices did not peak in 2010 and prices did not remain steady from 1995 through 2000 Gallon unleaded regular Average Price pe Average Gasoline Prices 4 00 3 00 2 00 1 00 0 00 1990 2000 Year 2010 Q S

work 3 3 Complete the truth table for the given statement by filling in the required columns qvp pq TT TF FT FF Complete the truth table P T 9 q T q qvp qV p Question 8 3 3 22 Part 1 of 4 qvp q vp

Write the following compound statement in symbolic form and construct a truth table The cheese has been sliced or the lemonade is cold p The cheese has been sliced q The lemonade is cold Determine the symbolic form of the compound statement and construct a truth table for the symbolic expression P T T LL F q T F T Next question V

Directions for finding standard deviation on the calculator 1 Press Stat and choose Edit 2 Type in all the numbers in the list into L1 3 Press Stat arrow over to Calc and choose 1 Var Stats 4 Make sure L1 is in next to List can leave Freq List blank press Enter The standard deviation is a Ex 18 What is the five number summary of the data set The five number summary includes the minimum value first quartile median third quartile and maximum value same numbers from ex 1A 4 12 15 9 14 16 13 6 7 6 25 3 13 17 22 4 Minimum value First quartile Median Third quartile Maximum value

Mean Median Mode New Vocabulary The standard deviation is a measure of how much the values in a data set from the mean It is a measure of the variability or spread of the data or

1A What are the mean and standard deviation of the following data set 4 12 15 9 14 16 13 6 7 6 25 3 13 17 22 4 an Standard deviation

Q 1 An aircraft is flying at an altitude of 6 km at a Mach number of 3 Find the distance behind the aircraft and the time required to travel that distance at which the disturbances created by the aircraft reach sea level Assume the average temperature between sea level and 6 km is 10 C 30 Marks

4 A paper cup is in the shape of a cone as shown in Figure What is the surface area of the cup 3 60 in 3 50 in Ans S 22 3 in 5 A glass prism used in the study of optics has a right triangular base The legs of the triangle are 3 00 cm and 4 00 cm The prism is 8 50 cm high What is the total surface area of the prism See Figure

A food refrigerator is to provide a 15 000 kJ h cooling effect while rejecting 22200 kJ h of heat Calculate the COP of this refrigerator Round the final answer to three decimal places Reservoir QH 15 000 kJ h R Reservoir The COP of the refrigerator is

Use the properties of logarithms to evaluate each of the following expressions a 2log 3 log 36 b Inelne 0

2 The table below describes features of a rational function Use the information in the table to sketch the graph Ensure to include the asymptotes in your sketch 5 marks y intercept Vertical Asymptote X 4 X Horizontal Asymptote y 3 2 x intercept 1 Im 3 1 8 Domain XER x 4 Positive intervals 4 Negative intervals 00 U 4 00 J A

Use the properties of logarithms to evaluate each of the following expressions a 3 Ine Ine b log 3 log 4

2 5 What is the least value of n such that every collection of n points in the plane all with integer coordinates must contain at least two points for which the line segment connecting the two points con tains a point other than an endpoint with integer coordinates

What is the perpetual annual worth in the following situation First cost 80 000 Annual cost 10 000 Salvage value 25 000 Life 6 years Interest rate 10 O 16 749 18 426 23 768 25 129

What is the perpetual annual worth in the following situation First cost 800 000 Annual cost 10 000 Interest rate 10 O 90 000 O 128 000 O 159 632 O 310 679 John Ste

mat is the annual worth in the following situation First cost 50 000 annual cost 20 000 Salvage value 10 000 Life 3 years interest rate 10 15 000 O 27 900 O 33 907 O 37 084

What is the annual worth of the following car wash Initial cost 150 000 Salvage value in 8 years 65 000 Annual income 45 000 Interest rate O25 009 28 999 32 980 44 786

What is the annual worth of the following project First cost 45 000 Annual cost 31 000 Life 8 years salvage value 10 000 Interest 10 32657 35999 38569 O 45666

Assume n is a positive integer Consider the loop below 0 for i 1 to 4n x x 4 i next i There are performed in this loon is operations performed in each run of the loop and the loop runs times so the total number of op

6 points Determine whether each of the following statements is true or false 1 K3 4 is not planar 2 K2 3 is not planar 3 K2 4 is planar 4 K2 5 is not planar 5 K3 2 is planar 6 K is not planar

Find the chromatic number of each of the graphs given below

How much would you have in 6 years if you purchased a 1 000 6 year savings certificate that paid 4 compounded quarterly Round your answer to the nearest cent 1269 7 X

Suppose that an insurance agent offers you a policy that will provide you with a yearly income of 80 000 in 30 years What is the comparable salary today assuming an inflation rate of 4 compounded annually Round your answer to the nearest cent

Suppose you see a car with an advertised price of 14 700 at 410 83 per month for 4 years What is the amount of interest paid Round your answer to the nearest cent

Find the present value using the present value formula and a calculator Round your answer to the nearest cent Hint Use a 365 day year when compounding continuously Achieve 225 500 at 8 95 compounded continuously for 8 years 155 days

Find the cost of the monthly rent for a two bedroom apartment in 30 years assuming an inflation rate of 5 compounded continuously if the current rent is 680 Round your answer to the nearest cent

How much would you have in 6 years if you purchased a 1 000 6 year savings certificate that paid 4 compounded quarterly Round your answer to the nearest cent

What is the future value after 15 years if you deposit 1 000 for your child s education and the interest is guaranteed at 1 9 compounded continuously Round your answer to the nearest cent

Find the cost of a home in 30 years assuming an inflation rate of 1 compounded continuously if the present value of the house is 215 000 Round your answer to the nearest cent

If Rita receives 44 54 interest for a deposit earning 6 simple interest for 70 days what is the amount of her deposit Round your answer to the nearest cent 3870 74 X

If Rita receives 44 54 interest for a deposit earning 6 simple interest for 70 days what is the amount of her deposit Round your answer to the nearest cent

Write the percent as a decimal and as a fraction 2 4 decimal 0 024 fraction

Write 1 2 as a decimal and as a fraction decimal 0 012 fraction

Round the number to the given place value 78 70633 Hundredths X Suggested tutorial Learn It Round decimals to a specified place value

Solve for x If there is no solution enter NO SOLUTION 21x 9 3x 5 X Tutorial Did you use properties of equality to get the variabile terms

Alfalfa pellets are placed on a horizontal plywood surface and the plywood is gradually tilted until the pellets begin to slide across the surface Sketches of the forces acting on a single pellet are shown below 0 00 R F n F a If Fg is the gravitational force acting on the pellet develop expressions for the magnitudes of F and F as a function of Fg and the angle 0 at which the plywood is inclined If the weight of a pellet is 0 35 g 0 00343 Newtons evaluate the magnitudes of F and F when 0 10 b Estimate the angle 0 at which the pellets will begin to slide

Solve for x X 14 x 5 7x 36

A nickel weighs about 0 1763668 ounce Find the weight of a nickel to the nearest hundredth of an ounce OZ

skipped part Tutorial Exercise Write as a fraction 12 1 2

Write as a fraction Enter a reduced fraction 81 3

Write the following as a fraction Enter a reduced fraction 11 ojo

Astro Company sold 21 000 units of its only product and reported income of 84 800 for the current year During a planning session for next year s activities the production manager notes that variable costs can be reduced 48 by installing a machine that automates several operations To obtain these savings the company must increase its annual fixed costs by 152 000 Total units sold and the selling price per unit will not change ASTRO COMPANY Contribution Margin Income Statement For Year Ended December 31 Sales 52 per unit Variable costs 44 per unit Contribution margin Fixed costs Income ASTRO COMPANY Contribution Margin Income Statement For Year Ended December 31 1 092 000 2 Prepare a contribution margin income statement for next year that shows the expected results with the machine installed Assume sales are 1 092 000 Note Do not round intermediate calculations Round your answers to the nearest whole dollar Contribution margin 924 000 168 000 83 200 84 800 Check my

3 es Henna Company produces and sells two products Carvings and Mementos It manufactures these products in separate factories and markets them through different channels They have no shared costs This year the company sold 47 000 units of each product Income statements for each product follow Sales Variable costs Contribution margin Fixed costs Income Contribution margin 2 Assume that the company expects sales of each product to decline to 30 000 units next year with no change in unit selling price Prepare a contribution margin income statement for the next year as shown above with columns for each of the two products Note Round per unit answers to 2 decimal places Income losed Carvings 813 100 487 860 325 240 194 240 131 000 Units Mementos 813 100 81 310 731 790 600 790 131 000 HENNA COMPANY Contribution Margin Income Statement Carvings Per unit Total Mementos Per unit Total Total Check my wor

3 When applying Newton s method to solve the equation Az b where A is an n x n matrix answer the following a What choice of F will ensure that the solution to F z 0 solves A b b Determine the Jacobian matrix for the F defined in a and for an arbitrary initial vector 0 calculate

Utilize the finite difference algorithm to approximate the solution for the following linear boundary value problem y 4 y x for 2 0 2 y 0 0 y 2 1 2 using a step size of h 0 5 Please provide the approximate values w for i 0 1 2 3 4 that you computed

12 ints eBook Hint Print References Nombre Company management predicts 1 656 000 of variable costs 2 338 000 of fixed costs and income of 146 000 in the next period Management also predicts that the contribution margin per unit will be 54 1 Compute the total expected dollar sales for next period Contribution margin Income 2 Compute the number of units expected to be sold and produced next period Numerator Denominator 1 Units Units Check my

1 Employ the improved Broyden s method Algorithm 2 in lecture notes to solve the following syste of equations 7 72 1 0 122 6 0 with an initial vector 0 2 2 T Calculate 1 and 2

2 Consider the nonlinear system defined by 2x x 10x 0 0 25 sin x cos x 0 a Show that the fixed point iteration applied to the system will converge to its solution whe 7 72 is restricted to the domain D 0 1 You may define g x x 2x x 10 and g2 x1 x2 0 25 sin x1 cos x2 b Starting with 7 0 0 0 compute using fixed point iteration on

7 B moints eBook Hint Print References Bloom Company predicts it will incur fixed costs of 259 000 and earn income of 493 100 in the next period Its expected contribution margin ratio is 69 1 Compute the amount of expected total dollar sales 2 Compute the amount of expected total variable costs Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute the amount of expected total dollar sales Numerator Dollar Sales Denominator Total Dollar Sales Total dollar sales

ok t int ences Sunn Company manufactures a single product that sells for 104 per unit and whose variable costs are 127 per unit The company s annual fixed costs are 622 000 The sales manager predicts that next year s annual sales of the company s product will be 39 200 units at a price of 192 per unit Variable costs are predicted to increase to 132 per unit but fixed costs will remain at 622 000 What amount of income can the company expect to earn under these predicted changes Prepare a contribution margin income statement for the next year SUNN COMPANY Contribution Margin Income Statement per unit Contribution margin Units Check m