An exponential function f(x) = ab" passes through the points (0, 8) and (2, 72). What are the values of a and b?

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-4, 12) and…

A: Please refer the attached image for complete solution. THANK YOU.

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Q: What exponential function will pass through both (0,6) and (1,3)?

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

A: Given that The number of bacteria in a culture is increasing according to the law of exponential…

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

A: After 3 hours, there are 100 bacteria, and after 5 hours, there are 400 bacteria. Let the…

Q: A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles…

A: Here a value is increasing exponentially. We need to find the value after specified time.

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A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: function passing through the points (-1, 4/3) and (1, 12).

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Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: topic - exponential function

Q: The accumulated amount of P8000 is P10000 after 2 years, calculate the interest rate if it is…

A: The accumulated amount of $8000 is $10000 after 2 years,   We have to calculate the interest rate…

Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

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

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Q: A certain quantity Q has initial value 200 and decays by 30% each year. Give an exponential function…

A: Given that, Initial value (a) = 200 Rate of decay (r) = 30%

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: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: The rate of a continuous money flow starts at ​$600 and increases exponentially at 4% per year for…

A: Given, Initial amount P0 = $600 R = 4% = 0.04 T = 15 years

Q: Find a formula for the exponential function passing through the points  (0,4) and (2,16) what are…

A: Given  A exponential function passing through the points  (0,4) and (2,16)

Q: In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow…

A: The explicit form of the exponential growth model is defined as At=A0ekt. Where, A(t) denotes the…

Q: A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to…

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

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Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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Q: What are some of the important characteristics of exponential functions?

A: We need to mention some characteristics of the exponential function. Let's begin.

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: What exponential function will pass through both (2,4) and (5,7)?

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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: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

Q: When do we use the Chain rule in derivates of exponential function

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Q: the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Given query is to find the exponential Moda for COVID cases.

Q: proportional to A, weight W, and height H. A and W measurement values taken from different people…

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Q: The drug Valium is eliminated from the bloodstream exponentially with the half-life of 36 hours.…

A: Given,

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

A: Let B(t) is the number of bacteria after time t, and B0 is the number of bacteria at time t is 0.The…

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

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (0 ,3) and (2, 75)?

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Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: what is an exponential function?  Is it continuous?

A: what is an exponential function?  Is it continuous?

Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in 1…

A: Solved the give problem using concept of formula of Compound Interest ( C.I. )

Q: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: Let us say that an equation for deaths in relation to the availability of healthcare services is…

A: Given information: An exponential function is given.

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

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Q: Find a formula for the exponential function passing through the points: (0,3) and (1,6) y%3D

A: the exponential function is in the form of y=abx.................(1) put the first point (0,3) 3=ab0…

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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…

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…