An exponential function f(T) = ab" passes through the points (0, 2) and (2, 18). What are the values of a and b?

Q: A colony of bacteria is growing exponentially. At time t = 0 minutes it has 300 bacteria in it, and…

A: Let's Solve,

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: Population decay

Q: The Loth Cat population grows at a constant relative growth rate. If the population is 400 after 2…

A: Let the constant relative growth rate be 'r' and the time in years be 't'. Let the population at any…

Q: Find the exponential function f(x)=ax whose graph goes through the point (2,4). a =

A:

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-1, 2/5) and…

A: The solution of given problem is followed by

Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

A:

Q: How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per…

A:

Q: ) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 25% per…

A: Given query is to find the expression for the population after t years.

Q: A certain quantity has an initial value of 8.2 and grows at a rate of 8.5% per year. Give an…

A:

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

A: Given the rate of change= 0.6+4/(t+2)2 feet per year To find the total number of feet grown during…

Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: How long does it take for an investment to double its value if the interest is 7.25% compounded…

A: we know for compound interest  A=P ert here A= compounded amount after time t years P = principal…

Q: Find an exponential function with horizontal asymptote y=2 whose graph contains the points( 0,3)…

A:

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (1/2, 4/3)…

A: Given that: The exponential function f(t)=abt passes through 12, 43 and 3, 1283

Q: How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3,…

A: To write the exponential function in the form f(t) = abt

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

A:

Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF…

A: Given that, after one hour, the 10% of the material is decayed. find the expression of the material…

Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…

A: it graph based problem  try to substitute each value of x from 0 to 5000 and with obtain values try…

Q: 8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8…

A: Exponential model of population is given by,     P(t) = Po * e^(kt).

Q: Another quantity has initial value of 400 and decays at a rate of 5.2% per hour. Give an exponential…

A: Let the function be fx=400ax     ....(1) After 1 hour  fx=400-400×5.2100      =400-20.8=379.2

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

A:

Q: the population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

A: The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

Q: Match the exponential function with its graph. I II 2- III IV 2- (a) f(x) = -2x ---Select-- + (b)…

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Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: . Find the exponential functions of the form f(x) = ab* that pass through 1) (-2, 32) and (1, –)

A: An exponential function is in the general form f(x) = abx We know the points (-2,32) and (1,1/2) ,…

Q: Some populations, such as bacteria, can be expected under the right conditions to show exponential…

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Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

A:

Q: 4. A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Qo to…

A:

Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

Q: Find the exponential function f(x) = a whose graph is given. f(x) %3D y 3 2- (-1,) -2 -1 1/2

A: By putting point in given function we get value of 'a' and find the function

Q: Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1%…

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Q: A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same…

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Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for…

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Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: Find a formula for the exponential function passing through the points (-2, -) and (1, 6). 3 y%3D

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Q: Find an exponential function with horizontal asymptote y = 2 whose graph contains the points (0, 3)…

A: Given: Horizontal asymptote y=2  The point (0,3) and (1,5)

Q: Suppose Shunreca Garner invested $8000 in stocks and the investment grew exponentially to $10000 in…

A: To use the exponential model to 1) determine the  growth rate and 2) to calculate the value after 15…

Q: 2) During the exponential phase, E. coli bacteria in a culture increase in number at a rate…

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Q: 6.05% interest compounded continuously?

A:

Q: How long will it take to double your money if it is invested at a fixed interest rate of 6%…

A:

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A:

Q: Find a formula for the exponential function f(x) = Ca passing through the points (-1, 108) and (2,…

A: f(x)=Cax  and passing through the points (-1,108) and (2,4)

Q: After 25 years, your savings account has now grown to $16,200 and has an interest of 6.1% that…

A:

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year.…

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply…

Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year.  Give an exponential…

A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…

Q: Due to the rising temperatures in a bay ecosystem, the population mass of a certain species of…

A: We have given x(0)=600 tonsx(11)=2,000 tons population increase at…