# A culture starts at 8600 bacteria. After one hour the count is 10,000. Find a function that models the number of bacteria n(t) after t hours. The answer is n(t) = 8600e^.1506t Where does this 0.1506 come from?

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## Precalculus

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box. -
## Precalculus

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box. -
## centennial

The owner of a residential building lot has received two purchases offers.Mrs A is offering a $20,000 downpayment plus $40,000 payable in one year.Mr B's offer is $15,000 downlayment plus two $25,000 payment due one and two years from now.Which offer has -
## Finance (after-tax cost)

Assuming a tax rate of 50%, the after-tax cost of a $200,000 dividend payment is? A. $200,000 B. $100,000 C. $-100,000 D. none of the above O.K., given a $200,000 after-tax dividend payment and a 50% tax bracket. That means the company had at least -
## Economics

The Southern Tree Trimming Corporation reported an accounting profit of $35,000 and a normal rate of return of 15 percent on capital and enterprise of $30,000. The opportunity cost of labor is $15,500. What is the economic profit? $110,500 X $19,500 -
## Income tax

Steve and Sue are married with three dependent children. Their 2015 joint income tax return shows $389,000 of AGI and $60,000 of itemized deductions made up of $30,000 of state income taxes and $30,000 of charitable contributions. -
## math

Correction of problem submiited earlier. The amount P of pollution varies directly with the population N of people. City A has a population of 494,000 and produces 260,000 tons of pollutants. Find how many tons of pollution we should except City B to -
## Math

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price. p = - 2x + 15 and p = 5x + 1 a. equilibrium quantity 4,000 -
## Science

The rest stops the driver made are included in the calculations because that is hoe the problem is defined. However, suppose the bus driver's manager wants to know the average speed at which the driver was actually driving the bus that day while he was on -
## calculus ap ab

(a) For f(x)=2x^3, find an equation of the linear function that best fits f at x=1. (b) Use the tangent line equation you found in (a) to approximate f(1.1). (c) Find the actual value of f(1.1) by using the function f(x). (d) Fill in the blank with < or -
## Probability

There are three investment plans for your consideration. Each plan calls for an investment of $25,000 and the return will be one year later. Plan A will return $27,500. Plan B will return $27,000 or $28,000 with probabilities of 0.4 and 0.6, respectively. -
## Social Studies

What influence did the Greek epics written by homer have on roman culture? A. They led Roman historians to question their loyalty to the Roman gods. B. They caused Roman historians to disagree over the origins of Roman culture. C. They inspired Virgil to -
## Algebra(1st one was typo)

The function f(x)=x^3 +1/4 x −1^4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse -
## Math / Algebra

Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it -
## Calculus-help~

A certain fast food restaurant wants to determine the increase in revenue per cheeseburger if sales are $45,000. Let the function [p=(120000-x)/(30000)] represent the price of x cheeseburgers. -
## MATH

A certain fast food restaurant wants to determine the increase in revenue per cheeseburger if sales are $45,000. Let the function [p=(120000-x)/(30000)] represent the price of x cheeseburgers. -
## increasing decreasing calc

f(x)=x^3=12x-24 f'(x)=3x^2+12=0 3x^2=-12 x^2=-4 what is x. would it be x=-2 and 2 because i have to find the interval where the function is increasing or decreasing. i already know how to find the answer but i just got confused on finding the zeros first -
## English

Can you pleas check these sentences for me, please? Thank you. 1) Your sentences are either confused or do not make sense at all. You mixed tenses, gender and even invented words! I think you should re-write each paragraph checking in your literaure book -
## Chemistry

Several compounds containing only sulfur (S) and fluorine (F) are known. Three of them have the following compositions: i. 1.188 g of F for every 1.000 g of S ii. 2.375 g of F for every 1.000 g of S iii. 3.563 g of F for every 1.000 g of S How do these -
## science

an oil tanker has a mass of 100 000 tonnes. its kinetic energy is 200 MJ.Calculate its speed. (1Tonne=1000kg, 1 MJ= 1 Megajoule= 1 000 000 J) PLEASE HELP -
## chemistry

Several compounds containing only sulfur (S) and fluorine (F) are known. Three of them have the following compositions. i. 1.188 g of F for every 1.000 g of S ii. 2.375 g of F for every 1.000 g of S iii. 3.563 g of F for every 1.000 g of S How do these -
## Pre-Cal

A pilot wishes to fly on course 290 with an air speed of 300 knots when the wind blows from 224 at 18 knots. Find the drift angle to the nearest hundredth of a degree. A.3.22° B.5.07° C.86.86° A river is flowing at the rate of 2.4 miles an hour when a -
## math (altitude)

An airplane flying at an altitude of 31,000 feet descends at a rate of 1,200 feet per minute. If the plane descends for 15 minutes, what would its altitude be in feet?: * 13,000 23,000 18,000 21,000 -
## Newton's Law of Cooling

You are a forensic doctor called to a murder scene. When the victim was discovered, the body temperature was measured and found to be 20°C. You arrive one hour later and find the body temperature at that time to be 18°C. Assuming that the ambient -
## micro economic

Suppose you currently earn $30,000 a year. You are considering a job that will increase your lifetime earnings by $300,000 but that requires an MBA. The job will mean also attending business school for two years at an annual cost of $25,000. You already -
## algebra

the spreadsheet shows the monthly revenue and expenses for a new business.use the models to predictt the month in which revenue will equal expense. month revenue expenses jan 4000 22,000 feb 9000 24,000 mar 13,000 25,000 apr 16,000 27,000 may 21,000 30,000 -
## Precalculus

Can someone help me with this question? I got the transformation for horizontal shift and vertical shift, however, I don't know how to find the vertical/horizontal compression/stretch. 1. Describe the transformations that were applied to the parent -
## algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive -
## Math Please help!!!

A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/h. Write a function rule to represent the total calories burned over time by that person. Can someone please help me??? -
## math

Andrea made a car trip of 440 Kilometers. She averaged 54 Kilometers per hour for the frst part of the trip and 80 kilometers per hour for the secound part. If the total trip took 6 hours, how long was she traveling at 80 kilometers per hour? -
## Algebra Readiness

Write and solve inequality. 17. The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the cart traveling? (Every time I put one of these "<,>" they are -
## MATH

Andrea made a car trip of 440 Kilometers. She averaged 54 Kilometers per hour for the frst part of the trip and 80 kilometers per hour for the secound part. If the total trip took 6 hours, how long was she traveling at 80 kilometers per hour? -
## Anthropology

Ms. Sue, Can you please give me your opinion. I would really I will appreciate it very much. Its on the gender and gender sexuality. Let me know if I need to do added anything else. The identities, inequality and equality.The Cangoan gender and sex -
## math

If I am in a canoe race and my friend is a half mile ahead of me, if I paddle at 3.4 miles per hour and he paddles at 3miles per hour, when will i catch him? -
## ACC340

Using at least two sources in addition to the text, Write a 700- to 1,050-word paper describing how information systems are changing the various aspects of the accounting profession. • Include a description of a variety of specific new technologies and -
## Accounting/Finance

Temte Corporation is authorized to issue 1,000,000 shares of no-par common stock and 250,000 shares of 6 percent, $25 par value, cumulative preferred stock. These events affected stockholders’ equity during the first year of operations: 1. 125,000 shares -
## Acc

The comparative statements of Dillon Company are presented below. Analysis DILLON COMPANY Balance Sheets December 31 Assets 2009 2008 Current assets Cash $ 21,000 $ 18,000 Short-term investments 18,000 15,000 Accounts receivable (net) 86,000 74,000 -
## calculus

A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. -
## AP Calc

A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. -
## Algebra 2

I need to find x of the quadratic function y=-5/3x^2-x-4. I'm supposed to use the formula x=-b/2a. The negative sign only applies to b. A=-5/3 and B=-1. When I substitute these values in I get -(-1)/2(-5/3). After working this out I get 1 over -10 over -
## Calc

A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. -
## MIcroeconomics

Hi. THis is due Tuesday. I am working on it but can use some help. Peggy-Sue has been offered a job by Cookie monster inc for a salary of $125,000 per year. Currently she is producing her own cookies and she has revenues of $260,000 per year. Her costs are -
## accounting

Please computate retained earnings During 2009, Edgemont Corporation had revenues of $230,000 and expenses, including income taxes, of $190,000. On December 31, 2008, Edgemont had assets of $350,000,liabilities of $80,000, and capital stock of 210,000. -
## Chemistry

Calculate the half-life (in s) of a first-order reaction if the concentration of the reactant is 0.0655 M 18.4 s after the reaction starts and is 0.0173 M 41.2 s after the reaction starts. I got 25.6 Suppose the half-life is 23.7 s for a first order -
## geometry

1. Initial point: (0, 0); Terminal point: (3, -4) A Lesson 13 B Lesson 13 C Lesson 13 D Lesson 13 E Lesson 13 F Lesson 13 2. Initial point: (3, 5); Terminal point: (-2, -1) A Lesson 13 B Lesson 13 C Lesson 13 D Lesson 13 E Lesson 13 F Lesson 13 In problems -
## science

Thank you. I don't know if this one is right- At the speed of 2.5m/s, how many seconnds will it take the kayak to run a 4,500 m course? what is the speed of the kayak in kilometers per hour? speed= 4,500km/2.5h*60min/1 h =270,000/2.5=108,000km/h Thank you -
## History - Help

In the French colonies of West Africa, an effort was made to establish a Francophile community, wherein people of the different colonies embraced French culture. This effort was: A. a total failure. B. in fact, mainly successful in French Indochina. C. -
## Math

In 1980 the average price of a home in Brainerd County was $97,000. By 1986 the average price of a home was $109,000 Write a linear model for the price of a home, P, in Brainerd County as a function of the year, t. Let t=0 correspond to 1980 -
## math

jim began a 131 mile bicycle trip to build up stamina for a triathlete competetion.unfortunately his bicycle chain broke, so he finished the trip walking. the whole trip took 4 hours. if jim walks at a rate of 3 miles per hour and rides at 37 miles per -
## management accounting

Andre has a hair styling business and he has five barbers who each make $9.90 per hour then work 40-hours a week and 50-weeks a year, the rent and other fixed expenses are $1,750 per month. shampoo is used on all client is .40 per client, the unit price of -
## algebra

Hi I need help with this question please. The base salary for a job is $3,000 per month. For each full year a person holds the job the salary increases by $300 per month. A) Write as a function where x is years worked and y is the total monthly salary. -
## Economics

I got a lot of problems with this exercise. I really hope you can help me. Thanks! Samantha Roberts has a job as a pharmacist earning $30.000 per year, and she is deciding whether to take another job as the manager of another pharmacy for $40.000 per year -
## Math

17) Consider the function f(x)=3x3−3x2+4x+2 Find the average slope of this function on the interval (−3,5). By the Mean Value Theorem, we know there exists a c in the open interval (−3,5) such that f′(c) is equal to this mean slope. -
## Math For Business

A man has decided to invest at most $90,000 in securities in the form of corporate stocks. He has three options: blue chip stocks he assumes will yield a 6% return, growth stocks @ 12%, and speculative stocks @ 20%. No more than 25% of his investment -
## Math/Algebra

The function T(x)=0.25(x-4400)+440 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $4400 and $17,600 inclusive. (a) What is the implied domain of the linear function? (b) What is a -
## Intermediate Accounting

Wolf Company issued 1,000 of its $1,000 face amount, 20-year bonds on June 30, 2010, for $1,020,000. Each bond carries five detachable stock purchase warrants, each of which entitles the holder to purchase for $60 one share of Wolf’s common stock. On -
## Pre Calculus 12

Graphing trigonometric functions A sinusoidal function has a maximum at (2,10) and its next minimum (5,-2) find an equation that represents this situation A sinuosoidal function has a zero at (5,0) and its next minimum is (7,-4). find an equation that -
## accounting question

I have to prepare a general journal entry for a company of transactions that they have done in the month of june. I have done a couple of them. But i haven't had one that says the following for the beginning: S.Shelton, the owner, invested $105, 000 cash, -
## chemistry

for the equilibrium H2+CO2<-->H2O+CO Kc=3.18 at 1106K. if each of the four species was initially present at 3.000M calculate the equilibrium concentration of the CO at this temperature..... OK I can get as far as equilibrium (final) H2O=3.000-x -
## Algebra 2

1.) The cost in C dollars of manufacturing x bicycles at Holliday's Production Plant is given by the function C(x) = 2x2 - 800x + 92,000. Find the minimum cost. 2.) The vertex of y = -3x2- 6x - 9 lies in which quadrant? 3.) Given f(x) = 1/3*(x - 4 )2 + 7. -
## Pre Calculus

The population of a city is 127,000 and is decreasing by 2.4% each year. a. What will the population be in 10 years? b. Find when the population will be 95,000 -
## Future Value/Present Value Problems

A) Serene Williams Corporation having recently issued a 20 million, 15 year bond issue, is committed to malke annual sinking fund deposits of 600,000. The deposits are made on last day of eac year and yield a return of 10%. Will the fund at the end of 15 -
## Math

Which of the following options best describes the function graphed below? A graph shows a slanting straight line that starts at the origin and goes up. Nonlinear increasing Nonlinear decreasing Linear increasing Linear decreasing I believe the answer is C. -
## Micro Economics

Briefly explain the following: (a)Economic cost and accounting cost. (b)Free market economy and mixed economy. (c)Marginal utility theory and indifference curves analysis. Please note that we don't do students' homework for them. Once YOU have come up with -
## math

8.6% net profit 3,000,000 revenues how do you find the profit -
## math

A plane travels east from San francisco towards St. Louis at 500 miles per hour, and a turbojet travels north from new orleans toward St. louis at 600 miles per hour. Find the rate of change of the distance between them when the jets are 300 miles apart, -
## Precalculus

Please help...a computerized spin balance machine rotates a 25 inch diameter tire at 480 revolutions per minute. (a) find the road speed in miles per hour at which the tire is being balanced (b) at what rate should the spin balance machine be set so that -
## math-unit rates

Jeff hikes 1/4 mile every 2/5 hour. John hikes 1/2 mile every 1/7 hour. A) Who hikes farther in one hour. Show work. B) Who walks faster, Jeff or John. Explain your reasoning -
## math

Freddie Fast can make 6 4/5 chairs per hour on a furniture assembly line. Warren Weary makes 4 1/2 chairs per hour. In a 10-hour shift, how many more chairs does freddie make than warren? and if i may i would also like a small explanatation please i just -
## math

write in scientific notation 35,000 and 982,000,000 -
## math

Among the integers from 1 to 10, 000, 000, 000 which are there more of: Those in which the digit 1 occurs or those in which it does not occur? -
## math

Write 14,060,000,000,000 in scientific notation -
## American History

How many words are in the U.S. constitution. A. 17,000 B. 30,000 C. 7,000 The Answer is C -
## calculus

Differentiate 3x+2(37,500,000/x) I know the answer is suppose to be 3(x^2-25,000,000)/x^2 but I'm not sure how to get there. -
## Math

Convert the following number to scientific notation: 71,000,000,000 -
## American History

How Many words are in the US Constitution? A. 7,000 B. 30,000 C. 17,000 The answer is B -
## Algebra..Heeelp please!

Need assistance on this word problem... Singer I.M. Great publicly promised each of her fans an autographed photo of herself. The response was bigger than expected: all 220,000,000 people in the U.S. wrote for a picture(even her own brother). Calculate the -
## Math

Find the sum of the following (starts with 3, increment by 7, ends with 7N+3) 3+10+17+...+689+696+703 -
## MATH PLEASE HELP

x = 2 , 4 , 6 , 8 y = 18, 34, 50, 66 This is supposed to be a table where the x lines up with the y in order How would I find the equation to solve this when x = 20? x goes up by +2 y goes up by +16 but starts with 18 -
## Economics

A Cobb-Douglas production function for new company is given by f(x,y) 50x 2 5 y 3 5 where x represents the units of labor and y represents the units of capital. Suppose units of Labor and capital cost $100 and $200 each -
## Calculus Finals Review sheet!! Explanation needed

Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between Ã¢Ë†â€™5 and 5 does the original function y have inflection points? Find limit as x approaches 3.5 [[x-2]]/x (Remember that -
## math

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to -
## accounts

Ex 11.5 The year-end balance sheet of Jackson Products, INC., includes the following stockholders' equity section (with certain details ommited): Stockholders' equity: Capital stock: 7% cumulative preferred stock, $100 par value----$15,000,000 Common -
## Math PLEASE PLEASE HELP ME

1.Find the derivative of the function. f(t) = (1+squrt t)(8t^2-7) 2. Find the derivative of the function. f(x) = (x^3 - 4)/(x^2 + 4) -
## accounting help please?!

Nancy Sly wishes to sell her business and receives the following three offers:? 1. $568,000 cash immediately. 2. $200,000 cash now plus an annual installment of $60,000 at the end of each year for 10 years, a total of $800,000. 3. An offer to manage the -
## accounting help please?!

Nancy Sly wishes to sell her business and receives the following three offers:? 1. $568,000 cash immediately. 2. $200,000 cash now plus an annual installment of $60,000 at the end of each year for 10 years, a total of $800,000. 3. An offer to manage the -
## Real Estate

A couple bought a home and financed $60,000 at 13.5%. Three months later they were transferred and carried back a land contract for $72,000 at 14.5%. What was their effective yield on the $12,000 investment? -
## math

Your industry currently employs 3,800,000 workers. If this labor force is growing expotentially at an annual rate of 2.3% how long will it be before the number of employees reaches 5,000,000? -
## ACCOUNTING

In its financial statements, Trio uses straight-line depreciation with the half-year convention. The book value of the equipment at December 31, 2006, will be: a $29,000. b $35,000. c $31,000. d Some other amount. -
## Calculus

Graph the function f(x)= x sin( 1/x) and the equations y=|x| and y=-|x| in the same viewing window on your calculator. Then use the squeeze therom to find the limit of f(x) as it approaches zero. I graphed the function and equations, but I am confused on -
## Math

two trains are traveling toward each other adjacent tracks. one of the trains 230 feet long and is moving at a speed of 60 miles per hour. The other train is 220 feet long and is traveling at the rate of 70 miles per hour. Find the time interval between -
## Calculus

A water tank in the shape of a right circular cylinder has a volume that is increasing at the rate of 300pi cubic centimeters per hour. If the height is decreasing at the rate of 15 centimeters per hour, find the rate at which the radius is changing when -
## Probability PLEASE CHECK

What is the probability of a game being sold if 18,980,000 of that title was sold out of a total 68320,000 different video games Is it 19,989,000/68320,000 1890/6832 = 27.77% rounded to nearest tenth -
## economics

A transport company purchased a truck for $40,000. The operating cost was $2,000 per month, with average revenues of $4,000 per month. The truck was sold for $16,000 after two years. The company's monthly rate of return was closest to: 3% 5% 7% 10% -
## Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!! -
## Business

Using the financial statements for the Goodyear Calendar Company, calculate the 13 basic ratios found in the chapter. GOODYEAR CALENDAR COMPANY Balance Sheet December 31, 2008 Assets Current assets: Cash . . . . . . . . . . . . . . . . . . . . . . . . . . -
## accounting

I am looking for the answer to this assignment. I am not an accounting major and have no clue. Please help Assignment Name: Unit 4 Individual Project Deliverable Length: 2-3 paragraphs Details: Les Fleurs, a boutique in Paris, France, had the following -
## Intermediate Accounting

Information relating to the capital structure of Parke Corporation is as follows: ` December 31 2008 2009 Outstanding shares of: Common stock 90,000 90,000 Preferred stock, convertible into 30,000 shares of common 30,000 30,000 10% convertible bonds, -
## inverse

my question was: find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?>> and you answered: If f(x)=-(x-2)^2 x<-2, then let y=f(x) - y = (x-2)^2 sqrt(-y)= x-2 x(y)= sqrt (-y) + 2 g(x)= -
## math

The question is as follows, let c=f(A) be the cost in dollars, of building a store of area A square feet. In terms of cost and square feet what do the following quantities represent? (A) f(10,000) (B) f^-1 (20,000) I am pretty sure the answerfor A is