# 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 "Need Help Asap"!

Multiple Choice Use an equation to solve the problem. 1. What is 57% of 11? (1 point) 11 = 0.57 • n; 19.3 n = 57 • 11; 627 n = 0.57 • 11; 6.27 11 = 57 • n; 0.19 2. 224 is 25% of what number? (1 point) 224 • 0.25 = w; 560 224 = 0.25 • w; 896 224 -
## math

Suppose you are comparing two numbers that are greater than 1,000. You want to find the smaller of the numbers. How many pairs of digits might you have to compare before you have your answer? Explain. -
## Math

Suppose you are comparing two numbers that are greater than 1,000. You want to find the smaller of the numbers. How many pairs of digits might you have to compare before you have your answer? Explain. -
## algebra

2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it. a. The sales representative here tells you they also have two floor plans available, but they only have -
## Algebra

1.what kind of function best models the data in the table use differences and ratios. x y 0 5 1 7 2 9 3 11 4 13 2.write an equation to model the data table. x y 0 3 1 5.3 2 7.6 3 9.9 4 12.2 3.write an equation to model the data table. x y 0 1.4 1 4.2 2 -
## Algebra

1.what kind of function best models the data in the table use differences and ratios. x y 0 5 1 7 2 9 3 11 4 13 2.write an equation to model the data table. x y 0 3 1 5.3 2 7.6 3 9.9 4 12.2 3.write an equation to model the data table. x y 0 1.4 1 4.2 2 -
## Science

Paul road his bike from the bottom of his street to his friend’s house at the top of the hill on his street. He knew his PE was 5,000 J and ME was 25,000 J but wanted to find out his KE. What is Paul’s KE energy on his bike ride to his friend’s -
## Intro to Probability, please check my work.

A fair coin is flipped three times. You win $5 every time the outcome is heads. Let the random variable X represent the total number of dollars you win. (a) List the sample space. (b) Determine the probability function of X. ====================== Answer: -
## Math

A 3-digit positive integer is selected at random. Find the probability that A) The last two digits of the number is 22 B) The number is greater than 900 C) The number is less than 100 D) The number contains at least one digit 8 -
## math

Find the equation of the tangent line to the graph of f(x) = 2x − 6/x + 1 at the point at which x = 0. (Let x be the independent variable and y be the dependent variable.) I got this question wrong. I thought the answer would be y=-4x-6 I followed -
## Math dividends

please chck my answer thanks :) A company has dividend of $2,200,000. The company has $55,000 shares of common stock outstanding the dividends per share of common stock is... my answer is $400 per share -
## math

A charity raffle offers a first prize of $1,000,000, a second place prize of $100,000 and a third place prize of $10,000. A total of 500 000 tickets will be sold. What price should be charged for a ticket in order for the charity to make a 60% profit on -
## Math

A charity raffle offers a first prize of $1,000,000, a second place prize of $100,000 and a third place prize of $10,000. A total of 500 000 tickets will be sold. What price should be charged for a ticket in order for the charity to make a 60% profit on -
## math

A charity raffle offers a first prize of $1,000,000, a second place prize of $100,000 and a third place prize of $10,000. A total of 500 000 tickets will be sold. What price should be charged for a ticket in order for the charity to make a 60% profit on -
## finance300

3) Your uncle has $280,000 invested at 7.5%, and he now wants to retire. He wants to withdraw $35,000 at the end of each year, starting at the end of this year. He also wants to have $25,000 left to give you when he ceases to withdraw funds from the -
## trig

1. Write a sinusoidal function for the function with a period of 6. The function has a max of 3 at x=2 and a low point of -1. 2. Write a sinusoidal function for the function with a period of 5. The function has a max of 7 at x=1. explain it in full detail -
## business math

It's a lot of words, but short questions. I got most of it, but I'm confused on a and c. Help would be greatly appreciated: Theater Seven wants to increase its popularity. They want to determine the best number of newspaper (N), Radio (R), and Television -
## CALCULUS. Check my answers, please! :)

The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is (1, 7) [-1, 7] x > -1 or x < 7 ***{x < -1}U{x > 7} (-∞, -1]U[7, ∞) 2. In which of the following is y a function of x? I. y^2=9-x^2 II. |y|=x III. y=(sqrt(x^2))^3 I only II only III only -
## Algebra 1

Hello, can someone check my answer the the question below? When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. WHat is the original number? My answer -
## life orientation

According to the BCEA what is the maximum number of hours an employee can work in a day? -
## Algebra

7. Write the equation of a trend line. Number of hours 8 5 12 10 2 9 11 14 Score% 7562 80 85 35 70 82 95 -
## statistics

Construct a 95% prediction interval for the number of hours of sleep for an adult who is 45 years old -
## Math Pre-Algebra

help!! does anyone know how to write an expression to represent the number of minutes in x hours -
## accounting

(TCO 8) Partial balance sheets for ABC Company and additional information are provided below. ABC Company, Partial Balance Sheets, As of December 31 2009 2008 Equipment $100,000 $75,000 Accumulated depreciation (25,000) (20,000) Common stock, $5 par -
## Statistic

You are the microbiologist at a national food processing chain. Two independent subcontractors are bidding to produce your latest food item that should really boost sales. It is your job to determine which plant should get the bid based on their microbial -
## Math - Trig

The depth of water, h, in metres at time t, in hours, is given by the formula: h(t)=7.8+3.5sin[pi/6(t−3)]. Its a 24 hours period and t=0 is midnight. Provide an algebraic solution to determine the time(s) of day, the water reaches the depth of 10.29 -
## Calc and Vectors

Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the maximum -
## calculus

A company wants to bid on an order of 20,000 square based boxes which hold 5 cubic feet. The cardboard cost is $.15 per square foot. The boxes must be reinforced with an extra layer of cheaper cardboard on the bottom ($.12 per square foot). The box is held -
## math

Having a problem with part of my question... 1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business -
## Speed'Distance'Time

Find out the distance covered when, speed is 960 km/hour and time is 1 hour 50 minutes. -
## math

ANGULAR SPEED OF A RACE CAR. A race car is driven around a circular track at a constant speed of 180miles per hour. If the diameter of the track is 1/2mile, what is the angular speed of the car? Express your answer in revolutions per hour(which is -
## algebra

1. the function f(x)=6x/3x-5 is one to one. find its inverse and check your answer. And on the second one can you tell me if I am correct. 2. solve the following exponential solution 7^2x+7^x+1-60=0 7^2 x+7^x-59=0 (49x)+7^x-59=0 49x/49=0/49 x=0/49 x=0 -
## Precalculus - check

Find the derivative of the function. r(t) = log_4(t + sqrt(t)) My answer (sorry, it's messy): (1+(1/2sqrt(t)))(1/tln(4)+sqrt(t)ln(4)) -
## math

Find the nth term of the geometric sequence whose initial term is 7 and common ration is 7. (your answer must be a function of n) -
## Calculus

The function defined below satisfies the Mean Value Theorem on the given interval. Find the value of c in the interval (1, 2) where f'(c)=(f(b) - f(a))/(b - a). f(x) = 1.5x-1 + 1.1 , [1, 2] Round your answer to two decimal places. -
## precalc review/calc

For the curve y=2^[sqrt(9-x2)], find the range of the function. I think the range is [0,8] but I don't know why. Could you show me how to get to that answer? Thanks. -
## math

Find the nth term of the geometric sequence whose initial term is 7 and common ration is 7.(Your answer must be a function of n.) -
## Algebra 2

Two woodworkers, Tom and Carlos, bring in $100 for making a table and $80 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more -
## -ECONOMICS-

Consider a country in which capital per hour of work from 1950 to 1973 grew by 3 percent per year and output per hour of work grew by about 3 percent per year. Suppose that from 1973 to 1991, capital per hour of work did not grow at all and output per hour -
## 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. 2x + 9p - 93 = 0 and 3x - 14p + 108 = 0 a. equilibrium -
## Algebra 2

1. Simplify ((-2x^4y^7)/(x^5))^3. Assume all variables are nonzero. A: (-8y^21)/(x^3) 2. Simplify 3x(5y + 4) - 2xy - 10x + 6x^2 A: 13xy + 2x + 6x^2 or 6x^2 + 13xy + 2x 3. Evaluate (2.0 x 10^-7)/(8.0 x 10^-9). Write the answer in scientific notation. A: -
## Algebra

I can not figure out how to solve this problem: "Two planes left the Chicago airport at the same time four hours ago. One is 40 miles per hour faster than the other one, and they are 6600 miles apart. What is the rate of each plane?" I am not the best at -
## home economics

Suppose you’ll have an annual nominal income of $40,000 for each of the next 3 years, and the inflation rate is 4 percent per year. Find the real value of your $40,000 salary for each of the next 3 years. -
## math

The sum of the digits of a two-digit number is 14. If the numbers are reversed, the new number is 18 less than the original number. Find the original number. I know Ana asked this question, but i don't understand how to get the equations. -
## Math (calc)

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I -
## Calculus

Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if so give the value of the -
## Algebra

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number -
## algebra

Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number -
## Math Please Check!!

Please check my answer to see if I got it right. Thanks. Braden has 1 hour of math homework to do. He spends 2/5 of this time complaining about how much he hates math, 1/3 of the total time looking for his calculator. How much time does Braden actually -
## ALGEBRA

i NEED MORE THAN JUST THE EXAMPLE i ALSO NEED TO EXPLANATION Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t -
## Physics Help..

A small cube (m=0.290 kg) is at a height of 261 cm up a frictionless track which has a loop of radius, R = 28.71 cm at the bottom. The cube starts from rest and slides freely down the ramp and around the loop. Find the speed of the block when it is at the -
## Algebra

A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour -
## equilibrium constant (Kp)

What is the equilibrium constant "Kp" at 200 C for the reaction below: P4(s) + 6 Cl2(g) --><-- 4 PCL3(l) Given the following at 200 C P4(s)+ 10 Cl2(g) --><-- 4 PCl5(s) Kc=8.12 PCl3(l)+ Cl2(g) --><-- PCl5(s) Kc=0.771 Answer: 6.7*[10^(-9)] -
## Economics

The accompanying table shows a car manufacturer’s total cost of producing cars: Qty |TC| Variable Costs| Avg. Var. Costs| Avg. Total Costs| Avg. Fixed Costs 0 |$500,000| ---- | ---- | ---- |---- | 1 |540,000 | 2 |560,000 | 3 |570,000 | 4 |590,000 | 5 -
## math

if a speedomter reads in lm per hour and the legal speed limit is 55mi/h and you want to know how fast she can drive ? would I multiply the 55 x 6 to get km Do you mean that it reads in km per hour? I never heard of an lm per hour. Why would you multiply -
## Math

A writer was paid $27,000 for a 3,000-word article. Find the rate per word -
## algebra

The value of a particular car dropped from 25,000 in may 21,000 in october.find the rat of change in the value of the car. -
## Algebr

Each week you must do a minimum of 18 hours of homework. Participation in sports requires at least 12 hours per week. You have no more than 35 hours per week in total to devote to these activities. - Write a system of inequalities to model the situations. -
## Math

Two ships leave the same port at the same time. One ship sails on a course of 110 degree at 32 mi/h. The other sails on a course of 230 degree at 40 mi/h. Find the distance between them after 2 hours. Express your answer to the nearest mile. -
## math!!!

can you please check my work 19mm=? m ?=.19??? .017km=? cm ?=1700? 61500cm/min =? km/h ?=.615? thank youuu! .019 (missed a decimal space) 1700 is correct The last one is a little trickier. First, figure out how many km per minute you are moving: .615 -
## chemistry

If a current of 5.0 Amps is passed through the electrolytic cell for .5 hour, how should you calculate the number of grams of bromine produced? -
## math

•Post a response to the following: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How -
## maths

Please help me on these problem solving sums. Also show the rough work and answer. First question: If 15% of the children walk to school, 7% cycle to school and 30% come by bus, what percentage come by car ? 2. How much for forty steel nails at €2.50 per -
## chemistry

Find the number of disintegrations per minute emitted by 1.1 mol of 232-Th in 1 min. The half-life of 232-Th is 1.4 x 1010 year I was able to do this with the following technique: 1.1 x 6.022 x10^23 =6.62x10^23 1.4x10^10=7.358x10^15 minutes I think then it -
## Art Please Ms.Sue Help

1.How do landscape paintings convey the values and ideas of Chinese culture? A.Landscape paintings show chaotic, unhappy culture. B.Landscape paintings reveal the importance of natural history to the Chinese. C.Landscape paintings show that Chinese desire -
## Math Help Please

Can you Please explain the answer that I received of 2469? It is the correct answer but I do not understand how to show the work. Thank you *************************************** Using the 9 digits, 1, 2, 3, 4, 5, 6,7, 8 and 9 you can arrange four -
## Calculus - Compound Interest

Recently, a certain bank offered a 10-year CD that earns 8.93% compounded continuously. a) If $20,000 is invested in this CD, how much will it be worth in 10 years? Ans: I used the formula A = Pe^(rt) to get the answer $48,848.92 b)How long will it take -
## maths

the life span of an electric bulb is normally distribution with mean 5500 light hours and standard deviation of 1200 light hours . what is the probability that a randomly selected bulb which lasts more than 6000 light hours? -
## Calculus

An important problem in mathematics is that of root finding: that is, given a function f (x), finding any roots of f in an interval. Exact methods exist for many functions: • In the case of a linear function f (x) = ax + b, this is easy. – If a ≠ -
## accouting

Company E December 31, 2010 Assets $42,000 $32,760 $26,880 $74,760 $114,660 Liabilities 34,440 22,932 14,515 51,584 ? December 31, 2011 Assets 45,000 32,400 ? 81,900 124,200 Liabilities ? 22,032 14,773 39,312 98,118 During year 2011 Stock issuances 6,000 -
## calculus

An airplane flying west at 300 miles per hour goes over the control tower at noon, and a second airplane at the same altitude, flying north at 400 miles per hour, goes over the tower an hour later. How fast is the distance between the airplanes changing at -
## finance

Wheeler Corporation is planning to expand its business and needs $30,000,000. The company believes that a 12-year term loan can be negotiated with a bank at an annual rate of 10%. Alternatively, an investment banking firm has indicated that it is willing -
## Finance

Building an Income Statement Papa Roach Exterminators, Inc., has sales of $586,000, costs of $247,000, depreciation expense of $43,000, interest expense of $32,000, and a tax rate of 35 percent. What is the net income for this firm? -
## Algebra

In 1992, the life expectancy of males in a certain country was 68.3 years. In 1998, it was 71.1 years. Let E represent the life expectancy in year t and let t represent the number of years since 1992. The linear function E(t) that fits the data is... -
## Biology - photosynthesis

1. In measuring the amount of ATP and NADPH consumed by the Calvin cycle, you find 30,000 molecules of ATP consumed but only 20,000 molecules of NADPH. WHere did the extra ATP molecules come from? A) Chlorophyll B) photosystem II C) cyclic electron flow D) -
## econ

Suppose the reserve requirement ratio is 20 percent. Assuming no bank holds excess reserves and nobody withdraws cash, a $10,000 injection of new excess reserves by the Fed can create A) $2,000 in new checkable deposits B) $10,000 in new checkable deposits -
## MATH HELP

The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is normally distributed with mean ì = 843 grams and standard deviation of ó = 9 grams (d) Find the mean of the x distribution. (Give your answer correct to the nearest whole -
## math

The telephone company has 25 computer controlled switching systems. Each system handles 700,000 calls an hour. The system works at 96% accuracy. How many calls would not accurately -
## Physics

Suppose you have 100 g of radioactive plutonium-239 with a half-life of 24,000 years. How many grams will remain after (a) 12,000 years (b) 24,000 years (c) 96,000 years? -
## Physics

Suppose you have 100 g of radioactive plutonium-239 with a half-life of 24,000 years. How many grams will remain after (a) 12,000 years (b) 24,000 years (c) 96,000 years? -
## statistics

A maker has the opportunity to purchase several acres of land that is divided up into several lots for building single-family homes. It is known that the average sale price of all of the lots is $80,000 and the standard deviation of the sale price is -
## Accounting

Jacks Corporation purchases $200,000 bonds plus accrued interest for 2 months of $2,000 from Kennedy Company on March 1. The bonds have an annual interest rate of 6% payable on June 30 and December 31. The entry to record the purchase of the bonds would -
## world history

which of these elements of Indian culture was not adopted in Cambodia? a. Hindu and buddhist coexistence b.a burreocracy dominated by military religious leaders c. architecture d. The caste system my answer B -
## Art

The gold trim, rich colors, a plentiful lace on eighteenth-century European fashions communicated which value of Baroque culture? A. Simplicity B. Balance C. Extravagance D. Creativity Is the answer C? Thank you -
## Math

Can someone please go over the steps to solve this problem? I know I need to find where the tugboat intersects the radar but I'm not sure exactly how to do this. A radar buoy detects any boats within a radius of 12 miles. A tugboat starts at a location 18 -
## Acounting 202

Dokken & Dietrich’s Donut Company pays for 25% of its inventory purchases in the month of the purchase and the remainder in the following month. The company’s inventory purchases totaled $840,000 in October, $920,000 in November, and $600,000 in -
## Math (finance )

Find the monthly payment, needed to have a sinking fund accumulate the future value, $16,000. The yearly interest rate is 6.7% and the number of payments is 20. Interest is compounded monthly. I do not remember how to solve for this equation. Please help -
## math

A small group of employees in a company get viruses on their computers. Every hour, each computer infects one other computer. If it takes 8 hours for 100 computers to be infected, how long would it take for only 50 computers to be infected? -
## math

Michael spends three hours cleaning his house you spend equal amount of time cleaning each room you spend a half an hour cleaning its room how many rooms does he have left 3/1 ÷1/2= 3/1× 2/1 =6/1 =6 -
## MATH

Michael spends three hours cleaning his house you spend equal amount of time cleaning each room you spend a half an hour cleaning its room how many rooms does he have left -
## Math

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas? -
## Algebra

At an ordinary rate, a man can row the distance from A to B, about 15 km, in 5 hours less time than it takes him to return. Could he double his rate, his time to B would only be one hour less than his time to A. What is his usual rate in still water? What -
## FIN 4018 - INCOME TAX PLANNING

Jim acquired a house in 2011 for $400,000. In 2013, he acquired a cottage for $150,000. He lived in the house in the winter and in the cottage in the summer. In 2015, he sold both properties. He received $500,000 for the house and $250,000 for the cottage. -
## Physic

Before continuing we need a little more information about the angle factor given in the formula above. It turns out that the angle factor is equal to the cosine of the angle that the light strikes the surface as measured from perpendicular. In this -
## English

this is the start of my second body paragraph, how can i expand it by putting examples? Some people believe that empire expansion is another way to protect a nations culture and religion by expanding, oppressing other cultures. But by expanding you leave -
## calculus

A ship uses $( 7v^2 ) of fuel per hour when travelling at a constant speed of v km/h. Other expenses in operating the ship (i.e. crew and equipment) amount to $345 per hour. The ship makes a journey of 100 km. C(v) : (700v^2 + 34500)/v C'(v): (700v^2 - -
## math 2

how do i find a scale factor for scale drawings and scale models -
## math

You roll a number cube twice. Find the probability of the event. Rolling a number less than 2 and then a number more than 6 Rolling an odd number then an even number Rolling a 7 then a 5 -
## Math (unit rates)

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator? -
## Goodwill Valuation 2 - Accountancy

In case of Admission: Given a balance sheet as at 31 Dec 2007. The new partner was admitted on 1 Jan 2007. Goodwill was agreed at 2 years purchase and was to be valued in accordance to the weighted average gross profit method for the previous four years