# 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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1. ## math algebra

A car was purchased for \$3,495 and will depreciate 20% each year. Find a linear function for the value of the car at time t in years. Define variables clearly. Graph the function you found in part A. A claim is made that the car will not be worth anything
2. ## Math

One pipe fills a tank in 1 hour while another pipe can fill the same tank in 2 hours. How long will it take to fill the tank if both pipes are used.
3. ## Algebra 1

Can someone please check my answers? Thank You 1) Find an equivalent expression without parenthesis -(y+87) Answer: -y-87 3) Solve -3x-13x=96 answer: x= -6 4) Find the decimal notation 14/25 Answer: .56 5) Divide if possible 7/0 Answer:0 6) Solve 7x+10=52
4. ## math

1)a number of two digits is such that the digits is 11 and the number is 27 greater than the number obtained by reversing the digits. a)Find the number b)State the advantages of the mean as an average 2) use logarithm tables to evaluate to five significant
5. ## Math

Determine whether the following relation is a function. {(3,7),(3,8),(3,-2),(3,4),(3,1)} a. It is a function because the ordered pairs all have the same x-value*** b. It is NOT a function because there are multiple y-values paired with a single x-value c.
6. ## calculus 2

Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013
7. ## math

Compare the function with the parent function. What are the vertex, axis of symmetry, and transformations of the given function? y = |10x-2| -7
8. ## Calculus

A 0.3 ml dose of a drug is injected into a patient steadily for 0.35 seconds. 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 percent per second. Using formulas, express Q as a
9. ## Math

Find the positive number such that 1/2 of the number multiplied by 1/3 of the number, multiplied by 1/6 of the number is equal to the number itself.
10. ## Physics

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in
11. ## Calculus

A differentiable function called f(x) achieves its maximum when x=0. Which of the following must then be true? 1. The function p(x) = xf(x) has a critical point when x = 0. 2. The function m(x) = (f(x))^2 has its maximum at x = 0. 3. The function j(x) =
12. ## MATH

Good Evening Ms SUE, Frankly I tried the below some as you said but still I am not getting the answer still i am getting the same answer as option A. 2 1/6 n I know this is wrong Mam if you don't mind can you check n tell where i am wrong and correct me
13. ## Geography

Did I answer these correctly? Q. Continent southeast of North America A. South America,Africa Q.How far is Panama City, Panama from San Salvador, El Salvador? A. 659 miles Q. Most of Cuba has an elevation of A. 0 to 500 feet above sea level Q. The
14. ## word problem

Directions: Write a system of equations to solve the following word problem graphically and algebraically (using Gauss and using substitution). AMC Homes, Inc. is planning to build three- and four-bedroom homes in a housing development called Chestnut
15. ## college finance

37. Morage Corp. is replacing an entire baking line that was purchased for \$420,000 and currently has a book value of \$60,000. The new, more efficient line, will cost \$940,000 installed and can be depreciated as a 7-year MACRS asset. With the increased
16. ## Algebra

3. Find the first four terms of the sequence represented by the expression. 3n+5 A)3,8,14,20 B)8,11,14,20** C)3,6,9,12 D)0,8,11,14 I don't understand what to do.. Please help!! 7. A gas station charges \$2.19 per gallon of gas. Use function notation to
17. ## Math, calculus, advanced functions, pre calculus

An investments value, V(t) is modelled by the function V(t)=2500(1.15)^2, where t is the number of years after funds are invested A) find the instantaneous rate of change in the value of the investment at t=4, what intervals would you choose? Why? My
18. ## math

An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.2 , Pr[2]=0.15 , Pr[3]=0.25 , Pr[4]=0.15 , Pr[5]=0.05 , and Pr[6]=0.2 . On the first roll, you record if the number is Small (1,2) or Large (3,4,5,6). If
19. ## une lab de physics

Hello, we are doing a lab dealing with diffraction gratings. The problem I have is that we are supposed to find the number of slits, N, based on gathered information. I have x, L, d, m, and w, just not N, which is what I am trying to find. I also have the
20. ## accounting

On January 1, 2012, Lexmark Company's Accounts receivable account had a debit balance of \$10,000. During January, 2012, the company billed customers for services in the amount of \$300,000. Also during January, the company collected \$240,000 from its
21. ## QSO 51O

Problem 4: Module 8 (30 points) The Exeter Company produces two basic types of dog toys. Two resources are crucial to the output of the toys: assembling hours and packaging hours. Further, only a limited quantity of type 1 toy can be sold. The linear
22. ## algebra

Determine if the inverse of function {(-3, -6), (-1, 2), (1, 2), (3, 6)} is also a function. A. function B. not a function B
23. ## math.chem

Give the answer to the following calculation with the correct number of significant digits. Report your answer in scientific notation. (6.17 x 10-1 + 4.9 x 10-2) x (3.95 x 10-2 + 6.454 x 10-3) i know the answer is 0.0306, but how many sigfigs should the
24. ## statistics

You want to set up a games stall at the Winter Wonderland. You have a single pack of 52 cards and decide to play card games with your customers. The game is designed as follows. A customer draws 4 cards at random. For every “Ace” that the customer
25. ## statistics

You want to set up a games stall at the Winter Wonderland. You have a single pack of 52 cards and decide to play card games with your customers. The game is designed as follows. A customer draws 4 cards at random. For every “Ace” that the customer
26. ## chin

You want to set up a games stall at the Winter Wonderland. You have a single pack of 52 cards and decide to play card games with your customers. The game is designed as follows. A customer draws 4 cards at random. For every “Ace” that the customer
27. ## Maths

(a) find d largest four digit number which has a total of exactly 3 factors. Assuming that one and the number itself are factors. (b) find a and b greater than zero such that a^2=b^3. (c) find. x and y such that x^3 + y^3 =1729
28. ## Finance

Newdex has net income of \$2,500,000 and 1,000,000 shares outstanding. It needs to raise \$3,610,000 in funds for a new asset. Its investment banker plans to sell an issue of common stock to the public for \$40 per share, less a spread of 5%. How much must
29. ## physics

These are problems I have been stuck on and can't figure out. Help would be greatly appreciated. 1. Blue and yellow light combinte to produce white light because ______ (Please explain what it's the correct answer) a.they absorb each other's wavelengths b.
30. ## Math

venus and fumiko are coworkers at a rental store Venus earns 2.25 per hour than Fumiko together they earn 14.55 per hour how much money per hour does Venus earn

A certain CD has a playing time of 80 minutes. When the music starts, the CD is rotating at an angular speed of 4.8 x 10^2 revolutions per minute (rpm). At the end of the music, the CD is rotating at 2.1 x 10^2 rpm. Find the magnitude of the average
32. ## calculus

A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
33. ## Math

During an epidemic, the number of people who have never had the disease and who are not immune (they are susceptible) decreases exponentially according to the function where t is time in days. f(t)=15,000e^-.05t Determine how long it will take for the
34. ## English

1. In an hour, we arrived at the base. 2. After an hour, we arrived at the base. 3. In an hour, we will arrive at the base. 4. After an hour, we will arrive at the base. (Which preposition do we have to use? Which ones are correct?)
35. ## ashford

Royal Hotel Inc. verbally orders 100 sets of sheets and pillowcases, each to be embroidered with the chain’s coronet logo, for \$1,000, from Textile Inc. Textile starts on the order and has completed 45 sets when Royal calls back and cancels the order.

The Tao Inc. purchased an asset for \$170,000 with a salvage value of \$8,500 have a useful life of four years. Find the depreciation expense for the first year using the 150% declining blance method. a. \$63,750 b. \$63,500 c. \$63,250 or d. \$63,000
37. ## Applied Calc 2

he marginal cost function for a manufacturing company is given by dollars per box, where q is the number of boxes manufactured. If , find the total cost of manufacturing 10 boxes. Round to the nearest dollar.
38. ## physics

I have a diagram of a roller coaster. It starts at a height of 100m where the v=0, it then drops completely to the ground and then goes into a loop that is 75m high; the point where the loop starts is point A. From the loop, the track raises to e height of
39. ## Science

Thomas left the White House and traveled toward the capital at an average speed of 24 km/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 55 km/h. Find the number of hours Jasmine needs to travel before they
40. ## ACCOUNTING

Paid employees' salaries, 20,000. Employees' payroll deductions are made at the end of every month. the employees' payroll for July 31 is shown Gross Pay 24,000 Deductions: Withholding Tax 2,500 SSS Contributions 1,000 Health Contribution 500 4,000 Net
41. ## Math

Find the amount in an account if \$2,000 is invested at 6.125%,compounded semi-annually,for 2 years. A)\$2256.49 B)\$2252.50 C)\$2324.89 D)\$544,757.84 Get yourself a pocket calculator or sharpen your pencil. The new amount will be 2000*(1.030625)^4 The
42. ## math

Chelsea left the White House and traveled toward the capital at an average speed of 34 kn/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 65km/h. Find the number of hours Jasmine needs to travel before they
43. ## Maths-Query

An NGO is helping the poor people of earthquake hit village by providing medicines. In order to do this they set up a plant to prepare two medicines A and B. There is sufficient raw material available to make 20000 bottles of medicine A and 40000 bottles
44. ## math

a liscense plate that has 3 numbers from 0-9 and 2 letters where each number and a letter may be used more than once. Find the Fundamental Counting Principle to find the number of outcomes in the situation
45. ## magh

a liscense plate that has 3 numbers from 0-9 and 2 letters where each number and a letter may be used more than once. Find the Fundamental Counting Principle to find the number of outcomes in the situation
46. ## algebra

Find the monthly payment for the loan. (Round your answer to the nearest cent.) A \$118,000 home bought with a 20% down payment and the balance financed for 30 years at 9.5% Thank you it is greatly appreciated.
47. ## math

Would the answer be 2000 to this? with 1,200 i got 4,000? If 600cm^2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters.
48. ## math

sean takes 8 hours to stain a deck then michelle. together it takes them 4.2 hour to complete the work. how long would it take sean to stain the deck by himself
49. ## fractions

kado spent 1 2/3 hours painting a fence. Then he spent 4/5 of an hour walking the dog. How much longer did he spend painting than walking the dog
50. ## Anthropology

I am sorry about the that. Ms. Sue. In what way would the role of the Western culture anthropologist be different from another culture's anthropologist?. Emotionalist paradigms focus on the role of art to connect to our inner experience and feelings. In
51. ## accounting

Use the following adjusted trial balance of Webb Trucking Company to prepare a classified balance sheet as of December 31, 2005. Account Title Debit Credit Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \$ 7,000 Accounts receivable . . . .
52. ## fiance

13. Healthy Foods, Inc., sells 50-pound bags of grapes to the military for \$10 a bag. The fixed costs of this operation are \$80,000, while the variable costs of the grapes are \$.10 per pound. a. What is the break-even point in bags? b. Calculate the profit
53. ## Social Studies

The Salad Bowl analogy of U.S. society states that? a. ethnic groups living in the United States retain unique features, but also contribute to American culture as a whole.*** b. all ethnic groups’ cultures have melted overtime into one distinct culture.
54. ## Finance

Healthy Foods, Inc., sells 50-pound bags of grapes to the military for \$10 a bag. The fixed costs of this operation are \$80,000, while the variable costs of the grapes are \$.10 per pound. a. What is the break-even point in bags? b. Calculate the profit or
55. ## Math

Healthy Foods, Inc., sells 50-pound bags of grapes to the military for \$10 a bag. The fixed costs of this operation are \$80,000, while the variable costs of the grapes are \$.10 per pound. a. What is the break-even point in bags? b. Calculate the profit or
56. ## 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 acount all of the living expenses that
57. ## physics

A person is to run a circular track with a radius of 93 meters. The person starts at a certain spot and runs 3 and 1/2 times around the track in a time of 227 seconds. Find the magnitude of average velocity for this trip (|vav|) and find the average speed
58. ## physics

A person is to run a circular track with a radius of 93 meters. The person starts at a certain spot and runs 3 and 1/2 times around the track in a time of 227 seconds. Find the magnitude of average velocity for this trip (|vav|) and find the average speed
59. ## pre calc

Sam Bordner can dig his garden in 4 hours end Elsie Bordner takes the same amount of time. After working together for an hour, their son Gregory helps them finish in just 30 minutes. How long would it have taken gregory to dig the garden by himself? Can
60. ## Math

A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours, if the plane flies a total of 1,269 miles, what is the plane`s unit rate in miles per hour? (1 point) A: 3,807 mph***** B: 1,266 mph C: 432 mph D: 423 mph Help mee
61. ## Algebra

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 f
62. ## accounting

Wallace Inc., a developer of radiology equipment, has stock outstanding as follows: 30,000 shares of cumulative preferred 2% stock, \$90 par and 125,000 shares of \$10 par common. During its first four years of operations, the following amounts were
63. ## math

when I add a number to another number four times as big, the result is 30. find the first number.
64. ## Pampers

A number is multiplied by 4 and 6 is subtracted from it . The result is the same as when the number is increased by 15. Find the number
65. ## MATH

the square of a number is equal to the sum of 21 and 4 times the number. find the number X=-3 X=7 RIGHT?
66. ## math

the median of a set of six number is 2.5 given that five number are 8, 1 , 2 , 11 and 1 , find the sixth number . and explain ...
67. ## ALGEBRA 1

The square of a number is equal to the sum of 21 and 4 times the number. Find the number
68. ## math

For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number. 60, 23
69. ## Math

When 1 is subtracted from 5 times a number and a result is divided by 3 more than twice the number we get 4/5.find the number.
70. ## Math

When 100is added to a number the result is 50 more then 3 times the number.find the number
71. ## math

1 number is selected at random from 0-9,find the probability that number is odd number
72. ## math

Which equation should be used to solve this problem? There is a number that is 8 less than the sum of 20 + 12. Find the number. Let n = the number.
73. ## math

14 is added to 2/3 of a number.the result is 1 1/4 times the original number.find the number
74. ## Maths

When 100 is added to a number,the result is 50 more than 3 times the number find the number
75. ## math

the sum of 5/3 and twice a number is equal to 16/3 subtracted from three times the number. find the number
76. ## math

When 100 is added to a number , the result is 50 more than 3 times the number. Find the number
77. ## math

twice the sum of a number and 3 is equal to three times the difference of the number and 9. find the number
78. ## Maths

When 100 is added to a number the result is 50 more than 3 times the number . Find the number
79. ## P4 naths

Three times a number is greater than half that number by 10. Find the number. Somebody pls help me on this...
80. ## maths

four times a certain number is equal to the number subtracted from forty.find the number
81. ## Pampers

A number is multiplied by 4 and 6 is subtracted from it . The result is the same as when the number is increased by 15. Find the number
82. ## Math

The square root of twice a number is equal to one-half of that number. Find the number.
83. ## Mathematics

When hundred is added to a number, the result is 50 more than 3times the number . Find the number
84. ## maths

the sum of six timesa number and four times the reciprocal of same number is 14.find the number
85. ## algebra

The sum of a number and three times another number is 18. Find the number if their product is a maximum.
86. ## Algebra

The difference between 5 times a number and 20 equals the sum of the number and 40. Find the number
87. ## Math

14 is added to ⅔ of a number. The result is 1¼ times the original number. Find the number.
88. ## math

if one sixth of a number is added to one eighth of the same number, the result is 35. find the number?
89. ## math

Three-halves of a number exceeds five-sixths of the number by four-thirds.Find the number.
90. ## Math

twice the square of a positive number increased by three times the number is 14. find the number
91. ## Maths

The product of the square of a number and the cube of the same number is equal to 32. Find the number
92. ## Math

Twice the square of a positive number increased by three times the number is 14. Find the number.
93. ## Math

When seven times a number is added to the square of the number the result is 18. Find the number.
94. ## Math

With 20 pirates and 1000 pieces of gold: Captain Jack gets 113 gold coins (151 if you count the 38 everyone in the crew gets) First Mate gets 66 gold coins (104 if you count the 38 coins everyone in the crew gets) The Crew gets 38 gold coins each The PBA
95. ## Math

With 20 pirates and 1000 pieces of gold: Captain Jack gets 113 gold coins (151 if you count the 38 everyone in the crew gets) First Mate gets 66 gold coins (104 if you count the 38 coins everyone in the crew gets) The Crew gets 38 gold coins each The PBA
96. ## English

Can you please check the following sentences? I just want to make sure that the tense choice is correct. 1.Enter the airport and look at the departures board to check your flight number and the departure time of your flight. 2.Go to the check-in desk to
97. ## Pre-Calculus

Graphing Polynomials Decide whether each of the following is sometimes true, always true, or never true and explain reasoning. A. A cubic function has 2 different x-intercepts ^Never true, has to have 3? B. A cubic function has 3 x-intercepts ^ Always true
98. ## Finance

3. Your firm is considering buying a new machine that costs \$200,000, is expected to generate \$110,000 in new revenue each year and will cost \$45,000 a year to operate. If your firm's marginal income tax rate is 35% what is the Net Cash Flow your firm will
99. ## Calculus

Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe^-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
100. ## Calculus

Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =