Question: Calculate the equivalent future cost in year

> A company that manufactures ultrasonic wind sensors invested $1.5 million 2 years ago to acquire part-ownership in an innovative chip-making company. How long will it take from the date of their initial investment for their share of the chip-making compa

> Demco Products, a company that manufactures stainless steel control valves, has a fund for equipment replacement that contains $500,000. The company plans to spend $85,000 each year on new equipment. (a) Estimate the number of years it will take to reduc

> How many years will it take for a uniform annual deposit of size A to accumulate to 10 times the size of a single deposit at a rate of return of 10% per year?

> Thompson Mechanical Products is planning to set aside $150,000 now for possible replacement of large synchronous refiner motors when it becomes necessary. If the replacement isn’t needed for 5 years, how much will the company have in its investment set-a

> RKE & Associates is considering the purchase of a building it currently leases for $30,000 per year. The owner of the building put it up for sale at a price of $170,000, but because the firm has been a good tenant, the owner offered to sell it to RKE for

> The business plan for KnowIt, LLC, a start-up company that manufactures portable multi-gas detectors, showed equivalent annual cash flows of $400,000 for the first 5 years. If the cash flow in year 1 was $320,000 and the constant increase thereafter was

> Which of the following 1-year investments has the highest rate of return: $12,500 that yields $1125 in interest, $56,000 that yields $6160 in interest, or $95,000 that yields $7600 in interest?

> A person’s credit score is important in determining the interest rate they have to pay on a home mortgage. According to Consumer Credit Counseling Service, a homeowner with a $100,000 mortgage and a 580 credit score will pay $90,325 more in interest char

> For a 5-year period, determine the compound interest rate per year that is equivalent to a simple interest rate of 15% per year.

> Parkhill, Smith, and Cooper, a consulting engineering firm, pays a bonus to each engineer at the end of the year based on the company’s profit for that year. If the company’s initial investment was$1.2 million, what rate of return has it made if each eng

> An A&E firm planning for a future expansion deposited $40,000 each year for 5 years into a sinking (investment) fund that was to pay an unknown rate of return. If the account had a total of $451,000 immediately after the fifth deposit, what rate of retur

> Your grandmother deposited $10,000 in an investment account on the day you were born to help pay the tuition when you go to college. If the account was worth $50,000 seventeen years after she made the deposit, what was the rate of return on the account?

> A large water utility is planning to upgrade its SCADA system for controlling well pumps, booster pumps, and disinfection equipment for centralized monitoring and control. Phase I will reduce labor and travel costs by $28,000 per year. Phase II will redu

> Centrum Water & Gas provides standby power to pumping stations using diesel-powered generators. An alternative is the use of natural gas to power the generators, but it will be a few years before the gas is available at remote sites. Centrum estimates th

> Pittsburgh Custom Products (PCP) purchased a new machine for ram cambering large I beams. PCP expects to bend 80 beams at $2000 per beam in each of the first 3 years, after which it expects to bend 100 beams per year at $2500 per beam through year 8. If

> Because unintended lane changes by distracted drivers are responsible for 43% of all highway fatalities, Ford Motor Co. and Volvo launched a program to jointly develop a technology to prevent accidents by sleepy or distracted drivers. A device costing $2

> Revenue from gas wells that have been in production for at least 5 years tends to follow a decreasing geometric gradient. One particular rights holder received royalties of $4000 per year for years 1 through 6; however, beginning in year 7, income decrea

> Callahan Construction borrowed $2.6 million to finance the construction of an entertainment complex in a smart community development project. The company made “interest only” payments of $312,000 each year for 3 years and then repaid the principal in a s

> The City of San Antonio is considering various options for providing water in its 50-year plan, including desalting. One brackish aquifer is expected to yield desalted water that will generate revenue of $4.1 million per year for the first 4 years, after

> For the cash flow diagram shown, determine the value of G that will make the present worth in year 0 equal to $2500 at an interest rate of 10% per year. 2 i = 10% per year 3 900 900-G 4 900-2G 5 Year 900-3G

> Prudential Realty has an escrow account for one of its property management clients that contains $20,000. How long will it take to deplete the account if the client withdraws $5000 now, $4500 one year from now, and amounts decreasing by $500 each year? A

> The pumping cost for delivering water from the Ohio River to Wheeling Steel for cooling hot rolled steel was $1.8 million for the first 4 years. An effective energy conservation program resulted in a reduced cost of $1.77 million in year 5, $1.74 million

> For the cash flows shown in the diagram, determine the equivalent uniform annual worth over years 1 through 5 at an interest rate of 10% per year. 0 2 i = 10% per year 500 3 450 4 400 5 350 Year

> Find the present worth at time 0 of the chrome plating costs shown in the cash flow diagram. Assume i = 10% per year. P= ? 0 2000 1 1800 2 1600 3 4 5 1400 1200 1000 Year

> Civil Engineering consulting firms that provide services to outlying communities are vulnerable to a number of factors that affect the financial condition of the communities, such as bond issues, real estate developments, etc. A small consulting firm ent

> Wrangler Western has some of its jeans stonewashed under a contract with an independent contractor, Almos Garment Corp. If Almos’ operating cost is $22,000 per year for years 1 and 2 and then it increases by 8% per year through year 10, what is the year-

> Dakota Hi-C Steel signed a contract that will generate revenue of $210,000 now, $226,800 in year 1, and amounts increasing by 8% per year through year 5. Calculate the future worth of the contract at an interest rate of 8% per year. Also, develop the FV

> Calculate the present worth of all costs for a newly acquired machine with an initial cost of $29,000, no trade-in value, a life of 10 years, and an annual operating cost of $13,000 for the first 4 years, increasing by 10% per year thereafter. Use an int

> RKI Instruments borrowed $4,800,000 from a private equity firm for expansion of its facility for manufacturing carbon monoxide monitors. The company repaid the loan after 1 year with a single payment of $5,184,000. What was the interest rate on the loan?

> A software company that installs systems for inventory control using RFID technology spent $600,000 per year for the past 3 years in developing their latest product. The company optimistically hopes to recover its investment in 5 years on a single contra

> Nippon Steel’s expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then are

> Industrial Electric Services has a contract with an Embassy in Mexico to provide maintenance for scanners and other devices in the building. What is the present worth of the contract (in year 0) if the company will receive a total of nine $12,000 payment

> For the cash flows shown, calculate the equivalent annual worth in years 1 through 4 at an interest rate of 10% per year. Year 0 1 2 3 4 Cash Flow, $ 250,000 275,000 300,000 325,000 375,000

> Silastic-LC-50 is a liquid silicon rubber designed to provide excellent clarity, superior mechanical properties, and short cycle time for high speed manufacturers. One high-volume manufacturer used it to achieve smooth release from molds. The company’s p

> Find the present worth in year 0 for the cash flows shown. Let i = 10% per year. 200 2 50 3 70 i = 10% 4 90 5 110 6 130 7 150 8 Year 170

> The following series of revenues and expenses in $1000 units were recorded by a mobile phone business. At a return rate of 10% per year, (a) Determine the net future worth in year 10. (b) Did the owners make their expected 10% return? How do you know?

> A construction management company is examining its cash flow requirements for the next 7 years. The company expects to replace software and infield computing equipment at various times over a 7-year planning period. Specifically, the company expects to s

> A recently hired CEO (chief executive officer) wants to reduce future production costs to improve the company’s earnings, thereby increasing the value of the company’s stock. The plan is to invest $70,000 now and $50,000 in each of the next 2 years to im

> Marcia observed the following cash flow series (in $1000 units) in an accounting report at work. The actual amounts in years 1 and 4 are missing; however, the report states that the present worth in year 0 was $300,000 at an interest rate of 10% per year

> In order to build a new warehouse facility, the regional distributor for Valco Multi-position Valves borrowed $1.6 million at 10% per year interest. If the company repaid the loan in a lump sum amount after 2 years, what was (a) the amount of the payment

> A company that manufactures air-operated drain valve assemblies currently has $85,000 available to pay for plastic components over a 5-year period. If the company spent only $42,000 in year 1, what uniform annual amount can the company spend in each of t

> A proximity sensor attached to the tip of an endoscope could reduce risks during eye surgery by alerting surgeons to the location of critical retinal tissue. If an eye surgeon expects that by using this technology he may avoid lawsuits of $0.6 and $1.35

> Find the present worth for the following cash flow series (in $1000 units). i = 6% per year 100 2 3 لها 4 200 200 5 6 7 8 Year 90 90 90 90

> For the cash flows shown in the diagram, determine the value of x and 2x that will make the future worth in year 8 equal to $100,000. i = 10% per year

> For the cash flows shown, calculate the future worth in year 8 at i = 10% per year. Year Cash Flow, $ 1 2 500 500 500 0 005 | 3 3 4 5 6 0 7 008 008 008 008

> For the cash flows shown, calculate the future worth in year 9 using i = 10% per year. Year 0 1 2 3 4 5 6 Cash Flow, $ 200 200 200 200 300 300 300

> For the cash flows shown, find the future worth in (a) year 5, and (b) year 4. Assume an i of 10% per year. Year Cash Flow, $ 0 1 0 0 2 3 4 3000 3000 3000 5 3000

> A manufacturer of industrial grade gas handling equipment wants to have $500,000 in an equipment replacement contingency fund 10 years from now. If the company plans to deposit a uniform amount of money each year beginning now and continuing through year

> How much money would be accumulated 18 years from now from deposits of $15,000 per year for five consecutive years, starting 3 years from now, if the interest rate is 8% per year?

> Abby purchased 100 shares of her dad’s favorite stock for $25.80 per share exactly 1 year ago, commission free. She sold it today for a total amount of $2865. She plans to invest the entire amount in a different corporation’s stock today, but must now pa

> Lifetime Savings Accounts, known as LSAs, allow people to invest after-tax money without being taxed on any of the gains. If an engineer invests $10,000 now and $10,000 each year for the next 20 years, how much will be in the account immediately after th

> Kenworth Imaging got a $700,000 loan that came with a choice of two different repayment schedules. In Plan 1, the company would have to repay the loan in 4 years with four equal payments at an interest rate of 10% per year. In Plan 2, the company would r

> A maker of micromechanical systems can reduce product recalls by 10% with the installation of new packaging equipment. If the cost of the new equipment is expected to be $40,000 four years from now, how much could the company afford to spend now (instead

> An entrepreneurial electrical engineer has approached a large utility with a proposal that promises to reduce the utility’s power bill by at least 15% per year for the next 5 years through installation of patented surge protectors. The proposal states th

> The operating cost for a pulverized coal cyclone furnace is expected to be $80,000 per year. The steam produced will be needed for only 6 years beginning now (i.e., years 0 through 5). What is the equivalent annual worth in years 1 through 5 of the opera

> How much will Kingston Technologies have to pay each year in eight equal payments, starting 2 years from now, to repay a $900,000 loan? The interest rate is 8% per year.

> Improvised explosive devices (IEDs) are responsible for many deaths in times of strife and war. Unmanned ground vehicles (robots) can be used to disarm the IEDs and perform other tasks as well. If the robots cost $140,000 each and the Military Arms Unit

> The net cash flows associated with development and sale of a new product are shown. Determine the beginning of period annual worth (i.e., for years 0 through 5) at an interest rate of 12% per year. The cash flows are in $1000 units. Year 12 3 4 5 6 C

> What is the equivalent annual cost in years 1 through 7 of a contract that has a first cost of $70,000 in year 0 and annual costs of $15,000 in years 3 through 7? Use an interest rate of 10% per year.

> The Gap has some of its jeans stone-washed under a contract with Vietnam Garment Corporation (VGC). If VGC’s estimated operating cost per machine is $26,000 for year 1 and it increases by $1500 per year through year 5, the equivalent uniform annual cost

> How much could BTU Oil & Gas Fracking afford to spend on new equipment each year for the next 3 years if it expects a profit of $50 million 3 years from now? Assume the company’s MARR is 20% per year.

> The first mass produced automobile was the Ford Model T, initially manufactured and sold in 1909 for $825. The rate of inflation in the United States over the period 1909 to 2015 has averaged 3.10% per year. You just purchased a new car for $28,000. You

> Evaluate the following definite integrals. ∫0 11 / (1 + 2x)4 dx

> Evaluate the following definite integrals. ∫3 5 x √(x2 – 9) dx

> Evaluate the following definite integrals. ∫0 1 x (3 + x)5 dx

> Evaluate the following definite integrals. ∫0 3 x / (2x + 1) dx

> Evaluate the following definite integrals. ∫0 1 2x / √(x2 + 1) dx

> Evaluate the following integrals: ∫ x / ex dx

> Evaluate the following integrals: ∫ x (2x - 3)2 dx

> Evaluate the following integrals: ∫ x (x + 7)4 dx

> Evaluate the following integrals: ∫ x ex/2 dx

> Evaluate the following integrals: ∫ x e5x dx

> Determine the integrals by making appropriate substitutions. ∫ 1/√(2x + 1) dx

> Evaluate ∫x7 ex4 dx.

> Evaluate ∫x ex (x + 1)2 dx using integration by parts.

> Figure 2 shows graphs of several functions f (x) whose slope at each x is x / ex/3. Find the expression for the function f (x) whose graph passes through (0, 6). Figure 2: ม (0, 6)

> Figure 1 shows graphs of several functions f (x) whose slope at each x is x/√(x + 9). Find the expression for the function f (x) whose graph passes through (0, 2). Figure 1: Y (0, 2)

> Evaluate the following integrals using techniques studied thus far. ∫ (x2 - x sin 2x) dx

> Evaluate the following integrals using techniques studied thus far. ∫ (x ex2 - 2x) dx

> Evaluate the following integrals using techniques studied thus far. ∫ (x3/2 + ln 2x) dx

> Evaluate the following integrals using techniques studied thus far. ∫ (x e2x + x2) dx

> Evaluate the following integrals using techniques studied thus far. ∫ ln x / x5 dx

> Evaluate the following integrals using techniques studied thus far. ∫ x sec2 (x2 + 1) dx

> Determine the integrals by making appropriate substitutions. ∫ (1 + ln x)3 / x dx

> Evaluate the following integrals using techniques studied thus far. ∫ (ln x)5 / x dx

> Evaluate the following integrals using techniques studied thus far. ∫ (3x + 1) ex/3 dx

> Evaluate the following integrals using techniques studied thus far. ∫ 4x cos (x + 1) dx

> Evaluate the following integrals using techniques studied thus far. ∫ x (x2 + 5)4 dx

> Evaluate the following integrals using techniques studied thus far. ∫ 4x cos (x2 + 1) dx

> Evaluate the following integrals using techniques studied thus far. ∫ x (x + 5)4 dx

> Evaluate the following integrals: ∫ ln √(x + 1) dx

> Evaluate the following integrals: ∫ x2 e-x dx

> Evaluate the following integrals: ∫ ln (ln x) / x dx

> Evaluate the following integrals: ∫ ln x4 dx

> Determine the integrals by making appropriate substitutions. ∫ x √(4 - x2)dx

> Evaluate the following integrals: ∫ x-3 ln x dx

> Evaluate the following integrals: ∫ x ln 5x dx

> Evaluate the following integrals: ∫ x sin 8x dx

> Evaluate the following integrals: ∫ x cos x dx

> Evaluate the following integrals: ∫ x5 ln x dx