Solve the given item below. Write your answer on a separate sheet of paper. A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given equation of L = 100(t – 20)² in liters and t refers to the time in minutes. At what rate is the liquid running out at the end of 6 minutes? %3D

Q: A phone company charges for service according to the formula: C(n) = 27+ 0.1n, where n is the number…

A: Consider that a phone company charges for service according to the formula Cn=27+0.1n, where n is…

Q: In 2020, the population of a small town in Michigan is estimated to be 6897. The population is…

A: Let  the Present  population be = P0 = 6897 Let  the future population = P = 8922 Rate = r = 0.2%

Q: The amount of skin covering a person's body (in square feet) depends on the person's height and…

A:

Q: Given enough food and space, a colony of yeast increases at a rate proportional to its population.…

A: according to our guidelines we can answer only three subparts and rest can be reposted.

Q: After an oil spill in the Gulf of Mexico, it is estimated that the concentration of oil in the water…

A: The solution of above question is written below.

Q: After administration of a dose, the concentration of a drug decreases by 50% in 30 h. How long does…

A:

Q: he formula C(1) = 0.03(1 - e-021). What is the concentration after 9 %3D

A: Please refer the attached image for complete solution.

Q: The formula S = C(1 + r)t models inflation, where C = the value today, r = the annual inflation…

A: Given: The inflation rate r = 3% = 0.03 The value of the house today is C = $510,000 The numbers of…

Q: You are walking against the wind. Your normal speed without the wind is 5 M.P.H. How long will it…

A:

Q: Michael starts a website for people in his town to share news and photos. Before launching the…

A: Here we are given with a equation .  On the basis of this we will find out the unknown quantities.

Q: An.oil storage tank breaks at t = 0 and the oil leaks from the tank with a speed of "(t) = 75e-0.014…

A:

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: The formula  S = C(1 + r)t   models inflation, where C = the value today, r = the annual inflation…

A: We are already given the formula so all we need to do is to plug in the values.

Q: If you take 500 mg dose of aspirin, the amount of aspirin in a person's system decreases by about…

A:

Q: The growth of a bacteria population is modeled by the equation p (h) = 1,000e(0.4h). For each…

A:

Q: You have 20 grams of Argon-18. Its half-life is 1 minute. How long would it take to have 2.7 grams…

A: The rate of decay of substance is directly proportional to the amount of substance present at that…

Q: Use the formula t = ln 2 /k that gives the time for a population with a growth rate k to double to…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The population of a small town is modeled by the equation P = 1650e0.5t where t is measured in…

A: The population of a small town is modeled by the given equation

Q: For each planet in the solar system, its year is the time it takes the planet to revolve around the…

A:

Q: A radioactive isotope is the king at a rate of 18% every hour. Currently there are 2000 g of the…

A: Given, Decay rate = 18% every hour. At present 2000 g of substance

Q: A phone company charges for service according to the formula: C(n) = 25 +0.09r, where n is the…

A:

Q: 9. A rumor spread through a town at the rate of (t2 + 10t), new people per day. Approximately how…

A: Let's Solve the question,

Q: If you want to earn 2% annual simple interest on an investment, how much should you pay for a note…

A:

Q: radioactive titrium has a half-life of 12 years. A sample of this material has a mass of 1000g. An…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is

Q: Insurance companies often try to calculate average life expectancy, that is, how long different…

A:

Q: A rumor about canceling spring break is being spread around a school. The following equation models…

A: Topic - functions Note - as per bartleby gyidelines, we are supposedto answer only first three…

Q: The weight Wt of radioactive uranium after t years is given by the formula Wt =  W0 × 2−0.0002…

A:

Q: Suppose you were given $600 from your uncle. You deposited that money in a bank and added $25 per…

A: Explanation: Given that: Amount given by uncle is $600. Calculation: Find the equation of model Here…

Q: A. What is the markup rate in decimal form? uses a markup rate of 250%. equation y = kx. Write an…

A: According to our our guideline we are supposed to answer only the first 3 sub-part of the given…

Q: When x 8, the rate at which x is incereasing is times the rate at which x is increasing. What is the…

A:

Q: Suppose gas costs $3.50 a gallon. We make a model for the cost C of buying xr gallons of gas by…

A:

Q: Find an equation for the fish population, P(t), after t years. t) = How long will it take for the…

A:

Q: Solve the given item A chemical factory tank stores an amount of liquid. After it has started to…

A: Given: L = 100(t-20)2 To find the rate at which liquid is running out , we need to find dL/dt We…

Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to…

A:

Q: radioactive titrium has a half-life of 12 years. A sample of this material has a mass of 1000g. An…

A:

Q: a = 45.25 b = 0.82 y = a + bx    questions: 1. If man's age is 52 years old, how high is his…

A:

Q: After the initial injection, the amount of a drug in the bloodstream decreases by 5% each hour.…

A: Initial amount of drug=DoK=-5 % per hourt= t hoursUsing formulaA=Ao1-Ktwhere A= Ending value…

Q: Solve this equation for x: Round your answer to two decimal places 20-(3x+5)=2(2x-15)

A:

Q: In 2020, a glacier had an area of 10,000 square kilometers. The glacier is melting at an annual rate…

A:

Q: The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this…

A: Concept : exponential decay of radioactive element can be indicated by…

Q: A man is walking down a very long flight of steps in a stairwell. He begins at 136 feet above ground…

A:

Q: A 200g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A: Image is attached with detailed solution.

Q: 5,043 SecondS 13. The height h(t) in feet of an object released from a cannon with an initial…

A:

Q: which equation represents the total interest T earned when the principal amount is $100 the annual…

A: Simple interest.

Q: The population of a small town is modeled by the equation P = 1750e0.5t where t is measured in…

A:

Q: The rat population in a major metropolitan city is given by the formula n(t) = 78e0.015t where t is…

A: n(t)=78e0.015t

Q: The half-life a particular radioactive substance is 1 year. If you started with 50 grams of this…

A:

Q: IN THE EXERCISES DO THE FOLLOWING: (a) What quantities are given in the problem? (b) What is the…

A: a) It is given that a plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h. b)…

Q: 1. If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.