# 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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## math calculus

The demand function for a product is given by p = 10,000 [1 − (5/5 + e^−0.001x)] where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = $1000 and p = $1500. (Round your -
## Economics

Hopefully someone can help me with this. "Suppose the production of airframes is characterized by a CES production function: Q=(K^0.5 + L^0.5)^2 (MPL = (K^1/2 + L^1/2) /L^1/2), MPK = (K^1/2 + L^1/2) /K^1/2) Suppose that the price of labor is $10 per unit -
## pre cal

The function f(x)=x2+6x+18 can be obtained from an even function g by shifting its graph horizontally and vertically. That even function is g(x)= ? -
## Math

Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it? -
## mat 116 algebra

function and function notation using the variable x and explain how we evaluate a function for a given x -
## math, please somebody help me

Given the function f(x) = x4 , and suppose g(x) is some other function of x. (a) Then the function F(x) = (g(x))^4 is the same thing as ... a. f '(g(x)) · g'(x) b. f(g(x)) c. f '(x) d. f '(g(x)) e. g(f(x)) (b) By either the extended power or the chain -
## Math

A motorboat travelling at full speed against a current goes 15 miles in one hour. Travelling at half speed with the current, it goes 12 miles in an hour. Find the rate of the current. -
## 6th grade Science

Crossword puzzle: 11 boxes; Over Chapter 16 Sections 1 & 2, I can't find it in my book.. Definition: People who share a common and distinctive culture, heritage, and language. -
## accounting

Bryan company budgets sales of 1,800,000, fixed costs of 1,000,000 and variable costs of 1,080,000. what is the contribution margin ratio for Bryan Company -
## Math

The graph of a rational function has a local maxima at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What is the least possible degree of the function? I know The correct answer is 6. I need help with the explanation please. -
## Math

6. Columbus' ships covered approximately 144 miles a day. How many miles would they have traveled in nine days? What was the average speed per hour? If there were two days when the weather did not permit movement, how many miles a day would they have to -
## Algebra(urgent)

a boat moves through still wather at x kilometers(km) per hour. it travels 24km up stream against a current of 2km per hour and then returns with the current. The rate upstream is x-2 because the boat moves against the current and the rate downstream is -
## Math

A pan of cold water with a temeprature of 35 degrees F is brought into a room with a temperature of 75 degrees F. After one hour, the temperature in the pan is 45 degrees F. a) Write a formula for the temperature (T) as a function of time (according to -
## stats

Homeowners claim that the mean speed of automobiles traveling on their street is greater than the speed limit of 35 miles per hour. A random sample of 120 automobiles has a mean speed of 37 miles per hour and a standard deviation of 4 miles per hour. Using -
## Math

In its Flip Your Lid contest, a coffee chain offers prizes of 50 000 free coffees, each worth $1.50; two new TVs, each worth $1200; a snowmobile worth $15 000; and a sports car worth $35 000. A total of 1 000 000 promotional coffee cups have been printed -
## Math

Carly and Kyle decided to count the number of red, blue, and yellow cars that they saw. They counted twice as many red cars as blue cars. The number of yellow cars they counted was one third of the number of red cars if they counted a tote of 33 cars. How -
## math

Matthew is riding a ferris wheel at a constant speed of 10km/h. The boarding height for the wheel is 1m, and the wheel has a radius of 7m. What is the equation for the function that describes Matthews height in the terms of time, assuming Matthew starts at -
## Calculus

A 0.9 ml dose of a drug is injected into a patient steadily for half a second. At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.4% per second. Using formulas, express Q as a -
## calculus

Consider the function . a. Find the domain and range of h. b. What is the inverse of h? c. Find the domain and range of h. d. Is h a function? Explain -
## math

A tire company determines that to manufacture a certain type of tire, it costs $9000 to set up the production process. Each tire that is produced costs $21 in material and labor. The company sells this tire to wholesale distributors for $49 each. (a) Find -
## Social Studies

2. The new boundary line set by the Adams-Onis Treaty had which of these effects? A.) It created a system of dual governance in Florida. B.) It represented the completion of Manifest Destiny.**** C.) It began the decline of Spain's New World empire. D.) It -
## Urgent math

A man gets a job with a salary of $40,000 a year. He is promised a $1900 raise each subsequent year. Find his total earnings for a 10-year period. I got 59,000 and it is wrong what it the correct answer? -
## accounting

During 2008, Cynthia sold a vacat lot to Joseph for $180,000. Cynthia's adjusted basis in the lot was $101,000 and she incurred selling expenses of $7,000. Joseph paid Cynthia $30,000 down payment in 2008 and agreed to pay $30,000 per year plus interest -
## BUSN

3. For this question, use the information for Sports Baseballs, Inc. Sports Baseballs, Inc. is a corporation that manufacturers and sells baseballs across several states in the Southeast. It had sales of $2.7 million during the last year. Expenses were as -
## programming(visual basic)

debugging exercise: Private Sub btnItemNumber_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles btnItemNumber.Click Dim decCost As Decimal Dim intCount As Decimal decCost = Convert.ToDecimal(txtCost.Text) Inventory(decCost, -
## Math

Reposting see if someone else comes up with a different answer. Amy wants to travel from Elm town to Lakeside at an average speed of 50 miles per hour. She travels half the distance and discovers that her average speed has only been 25 miles per hour. How -
## business math

After looking at the results of her calculations, Naomi has decided to aim for $500,000 savings by the time she retires. She expects to have a starting salary after college of $25,000 to $35,000 and she has taken into account all of the living expenses -
## business math

After looking at the results of her calculations, Naomi has decided to aim for $500,000 savings by the time she retires. She expects to have a starting salary after college of $25,000 to $35,000 and she has taken into account all of the living expenses -
## Physics

Air resistance acting on a falling body can be taken into account by the approximate relation for the acceleration: a= dv/dt = g - kv, where k is a constant. (a) Derive a formula for the velocity of the body as a function of time assuming it starts from -
## Physics

The modern Boeing 747 passenger jet airplane cruises at a speed up to 900 km/hr, at an altitude of 11,000 m. The cabin pressure is maintained equivalent to the atmospheric pressure at an altitude of 2,000 m. This is called the "cabin altitude". The -
## Visual Basic

debugging exercise: Private Sub btnItemNumber_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles btnItemNumber.Click Dim decCost As Decimal Dim intCount As Decimal decCost = Convert.ToDecimal(txtCost.Text) Inventory(decCost, -
## Math

Hi, I need urgent help with these 3 integrals problems ... been stuck on the questions and the deadline is Friday. Thanks a lot ! 1) For the green's theorem, Q: Using Green's theorem, evaluate the line integral F(r).dr counterclockwise around the boundary -
## math

A hairstlist schedules 1/4 hour to trim a customers hair and 1/6 hour to style. The hairstylist plans to work 3 1/3 hours each day. How many appointments can she schedule? -
## Algebra (math)

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 4x + 1 How much -
## MATH URGENT!!!!!

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 2x + 1 How much -
## Math

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 3x + 1 How much -
## American History

What significance did the domination of southern Spain by the Umayyad Caliphate have on European culture? Spain became the center of Muslim culture due to the increased volume of art and architecture. Spaniards migrated to Africa to escape the invasion of -
## Math

A Texas oil drilling company has determined that it costs $25,000 to sink a test well. If oil is hit, the revenue for the company will be $500,000. If natural gas is found, the revenue will be $150,000. If the probability of hitting oil is 3% and of -
## Legal and Ethicsl Issues in HHS

I am suppose to list examples of tangible and intangible forms of an organizational culture. I have got examples for tangible such as rituals, shared values, heroes, and heroines, ceremonies, stories, cultural network, physical impression, language, -
## Literature

1. The metaphor "No man is an island entire of itself" means: a)everyone should participate in one religion to be unified b)the puritan views are the correct views c)all of mankind is a single unit, created by God d) mankind lives apart from one another I -
## algebra

If print 5800 per hour how many for 3 1/4 hour -
## Maths

Use the binomial series to find the Taylor series about 0 for the function f(x) = (1 + x)−3/5, giving all terms up to the one in x4. I have the answer; f(x)=1-3/5(x) +12/25(x^2) -52/125(x^3) + 234/625(x^4) but i am not sure how to work out the -
## science

how many days would it take to fly to Jupiter (from Earth) in a space shuttle at 45,000 miles per hour? The minimum distance between the Earth and Jupiter is 365 million miles. -
## increasing and decreasing intervals

Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. When the derivative is -
## Physics

At the 2014 ALCS game 2, the Royals started their right-handed pitcher Wade Davis whose fastball typically reaches 94 mph. if his throwing motion covers 2.8m from the position where his arm starts to make forward motion to release position, and the mass of -
## Quanitive Methods

A car rental company has $540,000 to purchase up to 25 new cars of two different models. One model costs $18,000 each and the other model costs $24,000 each. Write a system of linear inequalities to describe the situation. Let x represent the first model -
## Statistics

The average hourly wage of employees in a large nationwide industry is $12.96. Assume the variable is normally distributed, with a standard deviation of $4.46. In a randomly selected sample of 10,000 such employees, how many of them (correct to the nearest -
## please help me calc. have test tom

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the -
## Algebra 115

Is this correct so far...I just want to know if I am doing this.. b) The representative tells you that floor plan #1 sells for $300,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $3,300,000. -
## Math 116

Is this correct so far...I just want to know if I am doing this.. b) The representative tells you that floor plan #1 sells for $300,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $3,300,000. -
## math

a company makes and sells sailboats. The company's cost function in thousands of dollars is C(x)=2x+20, and the revenue function in thousands of dollars is R(x)=4x, where x is the number of sailboats. Find and simplify the profit function, P(x). How many -
## Math

Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION) -
## Math

Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION) -
## Math

Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION) -
## BIOLOGY

Botulism (a toxin produced by bacteria that causes food poisoning) and curare (a natural poison) inhibit the action of acetylcholine. What symptoms would you expect to find in someone exposed to botulism or curare? Provide an explanation for the symptoms. -
## Math

The number N of bacteria in a refrigerated food is given by N(T) = 10T2 − 20T + 700, 1 ¡Ü T ¡Ü 20where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) -
## Algebra

Given the function f described by f(x)=+10, Find each of the following f(0)= Given the function h described by h(x)=9x,find each of the following a) h(-15) b) h(11) c) h(34) ---------- h(-15) -
## physics

A cars starts from rest and after 20 seconds its velocity becomes 108 km-1 find the acceleration of the car -
## maths

in 1994, the profit is $250,000 in 1995, the profit is $280,000 in 1996, the profit is $240,000 in 1997, the profit is $320,000 in 1998, the profit is $310,000 this information is in a chart but charts don't work here so anyways [it looks something like -
## Finance

Consider the following information and calculate the required rate of return for the Winkler Investment Fund. The total investment fund is $2 million. Stock Investment Beta ----- ---------- ---- A $ 200,000 1.50 B 300,000 -0.50 C 500,000 1.25 D 1,000,000 -
## Finance math

Consider the project with the following expected cash flows: Year Cash flow 0 -$400,000 1 $100,000 2 $120,000 3 $850,000 •If the discount rate is 0%, what is the project's net present value? •If the discount rate is 2%, what is the project's net -
## accounting

:The balance sheet for Glenwood Corporation at December 31, 2011, showed the following subtotals: Current Assets $140,000 Current Liabilities 80,000 Property & Equipment 420,000 Total Stockholders' Equity 420,000 Retained Earnings 120,000 Total Liabilities -
## Math

A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance. -
## Calculus

If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b] -
## CALC 1

Suppose that h is a function with h'(x) = xe^x. Find all intervals where the function h is concave up. Now, I understand that concavity is determined by the second derivative, so what my question here is, is it just taking the first derivative and then -
## calc

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the -
## accounting

18. Balance sheet and income statement data indicate the following: Bonds payable, 6% (issued 2000, due 2020) $1,200,000 Preferred 8% stock, $100 par (no change during the year) 200,000 Common stock, $50 par (no change during the year) 1,000,000 Income -
## World History

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 -
## Physics Sig Figs

When you are multiplying two numbers, how do you determine the number of significant figures? You go with the lowest sig figs in your problem. so suppose you multiply 2.34 and 8.9574, in your product you should have 3 sig figs as the lowest sig fig in your -
## Geometric Progression

A mortagge is taken out for $10,000 and is repaid by annual installments of $2,000. Interest is charged on the outstanding debt at 10%, calculated annually. If the first repayment is made one year the after the mortagage is taken out, find out the number -
## Science

Your family is going to have a contractor build a pool in your backyard. Your mom wants to make this a learning experience, so she asks you to find the mass of the water that will fill the pool. She has told you that the pool holds 75,700 L of water, and -
## statistics

A history professor finds that when he schedules an office hour at the 1030 am time slot an average of 3 students arrive. Use the poisson distribution to find the probability that in a randomly selected office hour in the 1030 am time slot exactly 5 -
## Math

Please tell me if the answers I posted are correct with the questions given. I am terrible at math. A certain Metropolitan area is building a new Performing Arts Center with two auditoriums to be used as concert venues. Budget: $89,200,000 for construction -
## Math

A marine life amusement park has 6 killer whales. Each whale consumes about 225 kilograms of fish and other see life per day. Based on this information, which would be the most reasonable estimate of the amount of “whale food” that should be ordered -
## Math

For each function, i) determine the corresponding reciprocal function, y =1/f(x) ii) state the non-permissible values of x and the equation(s) of the vertical asymptote(s) of the reciprocal function iii) determine the x-intercepts and the y-intercept of -
## Algebra 2B

Come up with a new linear function that has a slope that falls in the range −< < 1 0 m . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s -
## college math 116

Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function that is f(x) = 2x + -
## Software

The questions said List four major functions of an OS? The answer i put was Function 1: Provide a user interface Function 2: Manage files Function 3: Manage hardware Function 4: Manage applications Is my answer correct? -
## accounting

Below is budgeted production and sales information for Flushing Company for the month of December: Product XXX Product ZZZ Estimated beginning inventory 32,000 units 20,000 units Desired ending inventory 34,000 units 17,000 units Region I, anticipated -
## pre-calculas

Find the slant asymptote, if any, of the rational function. Do not graph the function. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) f(x) = x2 − 2x + 15 _____________ x + 7 -
## algebra

For the quadratic function f(x) = - x^2 +2x + 6, find the vertex and the axis of symmetry, and graph the function. Again, I need help with this as these are practice examples for an upcoming quiz and I stink at this part of algebra and I need to get it -
## Math2

Sketch the graph of this quadratic function: f(x)= 3(x-2)^2 -10. Be sure to explain the steps you take. **I don't need help with the graph part but I need to find the x and y intercepts, the equation of the axis of symmetry and the coordinates of the -
## MATH 116

You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. Write an inequality that demonstrates how much money you will be willing to spend on the project. How can I write an equation to fit this? $10,000=$6,000-n? -
## calculus

Consider the function f(x)=6sqrt(x)+1 on the interval [3,5] . Find the average or mean slope of the function on this interval. I FOUND THIS: (6sqrt(5)-6sqrt(3))/2 By the Mean Value Theorem, we know there exists a c in the open interval (35) such that f(c) -
## math pre cal

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

State Company manufactured a forklift machine at a cost of $60,000. The product is sold for $66,000 at a 5% discount. The delivery costs are estimated to be $6,000. Under IFRS, how much should be the carrying amount of this inventory? -
## Algebra

I can not figure these out for the life of me. Any help is appreciated. 1. Find the final amount of an investment if $2,000 is invested at an interest rate of 8% compounded quarterly for 8 years. I used interest formula and came up with $1,769.08. And -
## Math

Will someone please help me with the following problems: 1. One kilometer is equal to 1,000 meters. What fractional part of a kilometer is 750 meters? Simplify 2. Find the number that is the difference between 99 and 63. 3. Find the unit price for the -
## science

1.the modern atomic model includes orbiting the nucleus. which of the following parts of dalton's was disproved by the discovery of the electron atoms are tiny particles atoms cannot be divided into smaller parts atoms have specific mass and size atoms -
## To Ms. Sue

Ms. Sue Hi! Im not sure if you will be able to help me with this one, since is Math homework, but this time is just to confirm if Im right the question is: What is 1,112,433 rounded to the nearest ten thousand? A. 1,120,000 B. 1,100,000 C. 1,110,000 D. -
## Math- Calculus

Find an equation of the line that is tangent to the graph of f and parallel to the given line Function: f(x) = x^3 Line 3x-y+1 = 0 ._.; I know the derivative of the function is 3x^2 and I do have the answer in the back of my book just need the way to get -
## Fundamentals of Contempary Management

A firm has an opportunity to invest in a new device that will replace two of the firm's older machines. The new device costs 570,000 dollars and requires an additional outlay of 30,000 dollars to cover installation and shipping. The new device will require -
## Algebra - please check my answer for me

The population increased 80 percent in 5 years. The current population is 18,000. find five years ago. 18,000 * 0.80 = 14,400 18,000 - 14,400 = 3,600 3,600 is the population five years ago? to check: 3,600 * 5 = 18,000 Is 3,600 the correct answer. Was this -
## Pre-Calc

A ferris wheel is 63 feet tall when it reaches its highest point at 8 seconds. At the bottom of the ride, you are 3 feet off the ground. So how high off the ground will you be 5 seconds after the ride starts? Write a function f so that f(t) will equal how -
## Art

A container is decorated with images of Egyptian gods and placed inside a tomb. What is the likely function of this object, given what you know about Egyptian culture? A. This container was probably designed to protect the internal organs of the dead -
## Math

1.5gal/min=?qt/h Help!!!! First thing you need to do is figure out how many gallons an hour it is. Since there are 60 minutes in an hour and it's going at 1.5 gallons a minute, we can multiply 1.5 * 60. That's 90 gallons per hour. Now, just figure out how -
## MATH

1.to convert from a smaller unit to a larger unit you ______ by a power of ten A.add B.subtract C.multiply D.divide 2.Which of the following is a correct conversion of 50 kg? A. 5,000 g B. 50,000 mg C. 50,000 g D. 5,000,000 mg 3.Paul has a board that is -
## Math-Algebra II to be exact

Come up with a new linear function that has a slope that falls in the range −1< m <0 . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s values -
## software

The questions ask List four major functions of an OS. My answer: Function 1: Provide a user interface Function 2: Manage files Function 3: Manage hardware Function 4: Manage applications Is my answer correct? -
## maths

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ (cos pie/6 - isin