|The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is tripling every 7.5 years. What will be the amount (in pu) of pollutants present in the valley atmosphere after 5 years?

Q: 7. A triangle with a base of 20 inches has a height that is decreasing at a rate of 3 inches per…

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Q: The growth rate G of a population of animals in a conservancy was documented. If the growth rate…

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Q: A tank originally contains 100gal of brine solution containing 20lbs of salt. At t=0, pure water is…

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Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a…

A: Let x represents the amount of salt after t minutes. Given that, the initial amount of salt is 15…

Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

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Q: A certain forest covers an area of 2100  km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

Q: 13. Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

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Q: . The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y…

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Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: As population is proportional to present population. So we need to form a differential equation. and…

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1' dollars per…

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: A vehicle purchased for $22400 depreciates at a constant rate of 7%. Determine the approximate value…

A: Given that the vehicle purchased P = $ 22400   Depreciates rate (r) = 7 %   Time (t) = 15 years

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

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Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

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Q: The function represents the rate of flow of money in dollars per year. Assume a 10-year period and…

A: Given that,  function f(x) = 0.03 x + 400 Rate r = 8 %  = 0.08 Time period is of 10 years. So time…

Q: The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a…

A: the population after y year  A = pe^(rt)

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

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Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

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Q: certain forest covers an area of 2300 km2 . Suppose that each year this area decreases by  3.75% .…

A: Topic :- algebra

Q: c) What happens to the pH level of a mouth as the time since eating the sugary food increases?

A: answer is in step 2

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

A: In the question it is asked to solve for the temperature, also for the time when it is cooled down…

Q: Evaluate e0.5 using iterative approximation and ensure that the result is correct to at least 2…

A: Newton-Raphson method is an iterative method that uses the formula: xn+1=xn-f(xn)f'(xn) to perform…

Q: Water is pouring into a swimming pool. After t hours, there are 2t – vt gallons in the pool. At what…

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

Q: A vehicle purchased for $22400 depreciates at a constant rate of 6%. Determine the approximate…

A: Formula:      F=P(1+r)t Where, F= future value             P= present value             r= rate of…

Q: A population of cattle is increasing at a rate of 100 + 20t per year, where t is measured in years.…

A: Given : A population of cattle  is increasing at the rate of 100+20t per year

Q: The number of gallons of water in atank t minutes after the tank has started to drain is Qt= 200 (30…

A: Qt=20030-t2 Differentiating with respect to t, we get…

Q: 3). A farmer has dug his water well to a height of -60 feet after one full day (24 hours) of…

A: We are given farmer dug his water well to the height of -60 feet after one full day (24 hour) at…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: A family of 150 termites invades your house and grows at a rate of 16% per week. How many termites…

A: The following formula will be used : Formula:FV = P * (1 + r)nFV represents the future valueP…

Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t)…

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Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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Q: cteria grow in a culture at a rate proportional to the amount present. Initially, 300 ands of the…

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Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A: Given, length of rectangle is increasing at a rate of  7 cm/s width of rectangle is increasing at a…

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: 7 Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given that the stock price of Apple has been growing rapidly using equation y=3.2e0.5x We compare…

Q: A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value…

A: Compound interest :A=P1+rnntwhere A=future ValueP=Principal ( starting ) Valuer=annual interest…

Q: 14. The number of gallons of water in a tank t min. utes after the tank has started to drain is Q(1)…

A: Derivative basically represents rate of change.

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: topic - application of derivatives

Q: A family of 150 termites invades your house and grows at a rate of 16% per week. How many termites…

A: Formula:f = p * (1 + r)nf is the future valuep is the present valuer is the interest rate / growth…

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 4000e0.1 dollars per…

A: Here we have to find the PV of an income stream that pays out continuously at the rate of…

Q: The rate of investment is given by I (t) = 5vt. Calculate the capital growth between the 4th and the…

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Q: Rank the functions x100, ln x10, xx, and 10x in order of increasinggrowth rates as x→ ∞.

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