College Math - Others Questions

1 point A street light is at the top of a 13 5 ft tall pole A man 5 3 ft tall walks away from the pole with a speed of 5 0 feet sec along a straight path How fast is the tip of his shadow moving when he is 40 feet from the pole Your answer 1 962962 ft sec Hint Draw a picture and use similar triangles

Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates He borrowed 3 100 at 3 75 on December 26 2021 and paid it off February 21 2023 How much did he pay in interest Assume ordinary interest and no leap year Use Days in a year table Note Do not round intermediate calculations Round your answer to the nearest cent Interest paid

5 A city is planning a new children s park Two contractors are bidding for the project Contractor A will construct the playground for 2 500 000 and estimates annual maintenance to cost 100 000 Contractor B will construct the playground for 3 500 000 and annual maintenance will be 75 500 In both cases the contractors will maintain the park for 20 years The relevant rate of interest is 8 On the basis of NPV analysis which contractor would you recommend

On April 5 2022 Janeen Camoct took out an 10 25 loan for 31 000 The loan is due March 9 2023 Use ordinary interest to calculate the interest What total amount will Janeen pay on March 9 2023 Ignore leap year Use Days in a year table Note Do not round intermediate calculations Round your answer to the nearest cent Maturity value

es On April 5 2022 Janeen Camoct took out an 10 25 loan for 31 000 The loan is due March 9 2023 Janeen s terms are ordinary interest Sabrina Bowers took out the same loan as Janeen Sabrina s terms however are exact interest Ignore leap year Use Days in a year table a What is Sabrina s difference in interest Note Do not round intermediate calculations Round your answer to the nearest cent Difference b What will Sabrina pay on March 9 2023 Note Do not round intermediate calculations Round your answer to the nearest cent Amount

Harold Hill borrowed 15 200 to pay for his child s education at Riverside Community College Harold must repay the loan at the end of 10 months in one payment with 4 interest a How much interest must Harold pay Note Do not round intermediate calculation Round your answer to the nearest cent Interest to pay b What is the maturity value Note Do not round intermediate calculation Round your answer to the nearest cent

Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates He borrowed 3 100 at 3 75 on December 26 2021 and paid it off February 21 2023 How much did he pay in interest Assume ordinary interest and no leap year Use Days in a year table Note Do not round intermediate calculations Round your answer to the nearest cent Interact poid

8 A successful alumni of UNO wants to establish a scholarship that will pay 2 engineering students 4000 per semester per year assume the students can enroll for only 2 semesters a year If the university earns 6 on endowment accounts what amount must be deposited today by the alumni Hint first calculate the total amount that is required each year for 2 students for 2 semesters

On May 3 2020 Leven Corporation negotiated a short term loan of 630 000 The loan is due October 1 2020 and carries a 5 20 interest rate Use ordinary interest to calculate the interest What is the total amount Leven would pay on the maturity date Use Days in a year table Note Do not round intermediate calculations Round your answer to the nearest cent Maturity value

1 How much must be deposited into a savings account in year 0 that pays 7 interest in order to make the following withdrawals Year Cash flow 0 1 0 2 3000 3 4000 4 2500 5 4500

14 A corporate bond is sold for 920 It pays interest of 60 every year and is valid for 10 years At the end of 10 years the bond issuer will redeem the bond for 1000 If you purchase the bond and hold it for the 10 years what would your rate of return be

10 Dorothy invested 250 000 in a rental property She earns net revenue of 50 000 per year from the property If she keeps the property for 10 years what is her rate of return Here assume the salvage value is 0

13 The owner of a corner lot is trying to decide between two alternate uses for the land His options are Fast food rest Gas station Initial cost 800 000 1 100 000 Y1 net benefit 150 000 190 000 Y2 net benefit 150 000 225 000 Y3 to Y10 150 000 275 000 The salvage value for both options is 0 at the end of 10 years The owner has an MARR of 15 for all projects Using IRR analysis which project would you recommend

7 A company is planning to purchase a new machine to meet increased demand Both options under consideration have useful lives of 10 years and no salvage value at the end Cash flows for both are as follows Annual maintenance Annual Machine Initial Cost costs income A 400 000 20 000 80 000 B 650 000 30 000 160 000 Use NPV analysis to determine which machine would be a better option Interest rate is 8 Hint first compute the net annual benefit annual cost annual income

12 Byron deposited 20 000 in a savings account 15 years ago He withdrew 85 000 today and closed the account Compute the rate of interest on the account

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

U X 24 58 38 W

105 84 g e

m n h P k

65 0 127

So T 26 a Classify the angle above and calculate the supplement and complement of the angle

128 d e 68 C Calculate the values of c d a

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

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

The following represents the probability distribution for the daily demand of computers at a local store Demand Probability 0 0 05 1 0 20 2 0 35 3 0 25 0 15 What is the expected daily demand 01 1 65 2 2 25

38 42 Sylvester files as a single taxpayer during 2023 He itemizes deductions for regular tax purposes He paid charitable contributions of 7 700 real estate taxes of 1 100 state income taxes of 6 450 and mortgage interest of 2 900 on 30 450 of acquisition indebtedness on his home Sylvester s regular taxable income is 132 000 What is Sylvester s AMTI Answer is complete but not entirely correct

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval and approximate the solutions to four decimal places Enter your answers as a comma separated list 3 sin 9 sint 5 0 2 2

Suppose you owe 500 on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the account Assuming that the interest rate on your card is 2 per month on the unpaid balance and that the minimum payment is 3 of the total balance plus interest your balance after t months is given by 8 t 500 0 9894 Find your balance at each of the given times Complete parts a through e below

2 I 12 5 Points DETAILS Graph the function not by plotting points but by starting from the graphs below 9 x 10x 1 2 10 5 y 3 y 2 2 2 2 WebAssign Plot State the domain and range Enter your answers using interval notation domain range State the asymptote 2 4

Use a calculator to evaluate the function at the indicated values Round your answers to three decimals 3x 9 x 3 M 9 3 xxxx Enter a number

The graph of a function f is given Sketch the graph of y f 2x 6 Note y f 2x 6 f 2 x 3

True or False A polynomial function with integer coefficients can have bot rational and irrational zeros True False

True of False The graph of a rational function can cross its horizontal asymptote True False

Sketch the graph of a rational function y f x that meets ALL of the following conditions x 3 is a zero of multiplicity 1 x 3 is a zero of multiplicity 1 yoo as x 1 yoo as x 1 yoo as x 4 yoo as x 4 y0 as x

A C 6 in 175 lb in 12 in 12 in B 100 lb in

bers use the assumed values and only 1 section Otherwise the math will not work 75 lb L K H A B C D E F 4 ft 4 ft 4 ft 4 ft 4 ft 4 ft 3 15 lb 55 lb 25 lb 35 lb 6 ft

125 lb H 75 lb G FL A B C ID 4 ft 4ft 4 ft 4 ft 4ft 90 lb 4 ft EI

Consider the following recursive function fun x y What is the value of fun 4 3 int fun int x int y if x O return y return fun x 1 x y O 10 O 11 O 12

Collins Company is preparing its master budget for April Use the given estimates to determine the amounts necessary for each of the following requirements Estimates may be related to more than one requirement a What should total sales revenue be if territories A and B estimate sales of 10 000 and 16 000 units respectively and the unit selling price is 48 b If the beginning finished goods inventory is an estimated 2 000 units and the desired ending inventory is 3 000 units how many units should be produced 27 000 c What dollar amount of material should be purchased at 4 per pound if each unit of product requires 3 pounds and beginning and ending materials inventories should be 5 000 and 4 000 pounds respectively x d How much direct labor cost should be incurred if each unit produced requires 1 5 hours at an hourly rate of 17 e How much manufacturing overhead should be incurred if fixed manufacturing overhead is 55 000 and variable manufacturing overhead is 2 50 per direct labor hour

Estimate cos x2 da using a the Trapezoidal Rule and b the Midpoint Rule each with n 4 Give each answer correct to five decimal places a T 0 84549 b M 0 5373 c By looking at a sketch of the graph of the integrand determine for each estimate whether it overestimates underestimates or is the exact area 1 T Underestimate Overestimate 2 M4 d What can you conclude about the true value of the integral A TA cos x dx M4 B T4 C TA cos x2 dx and M4 cos x dx cos x dx and M4 f cos x dx D No conclusions can be drawn E MA cos x2 dx T

For each independent situation below determine the missing amounts A B C D Beginnning inventory 6 000 x 2 000 X Produced 40 000 22 000 x 60 000 Available x x 26 000 69 000 Sold 45 000 33 000 X x Ending inventory x 10 000 11 000 3 000

5 Show how you could set up and find the exact value of cos COS 57 COS 4 2 2 cos x cos COS 4 COS X TU 2 2 in two different ways

A researcher wishes to estimate with 95 confidence the population proportion of adults who think the president of their country can control the price of gasoline Her estimate must be accurate within 3 of the true proportion a No preliminary estimate is available Find the minimum sample size needed b Find the minimum sample size needed using a prior study that found that 34 of the respondents said they think their president can control the price of gasoline c Compare the results from parts a and b a What is the minimum sample size needed assuming that no prior information is available n Round up to the nearest whole number as needed b What is the minimum sample size needed using a prior study that found that 34 of the respondents said they think their president can control the price of gasoline n Round up to the nearest whole number as needed c How do the results from a and b compare OA Having an estimate of the population proportion reduces the minimum sample size needed B Having an estimate of the population proportion has no effect on the minimum sample size needed OC Having an estimate of the population proportion raises the minimum sample size needed

List all halfway points on the graph of y cot x on the interval 3 3 2 2 The points are Type an ordered pair Use a comma to separate answers as needed Simplify your answer Type an exact answer using it as needed Use integers or fractions for any numbers in t