How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3, 24)?

Q: The average profit a local store owner earns on a given day is $810 and is growing exponentially at…

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Q: Solve th equation for x. log2(log3 x) = 4

A: Consider the given: log2log3x=4Using log Rule:logap=n is equivalent to p=an,log2log3x=4…

Q: Can you give a not complicated example of an exponential function AND a linear function where the…

A: Consider the standard form of the linear function y=mx+c. "Note that, The slope determines if the…

Q: $770 is invested in an account earning 9.3% interest (APR), compounded monthly. Write a function…

A: Dollar 770 is invested in account earning at 9.3% and it is compounded monthly means= RATE/12 and to…

Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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

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Q: The average profit a local store owner earns on a given day is $960 and is growing exponentially at…

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Q: The average profit a local store owner earns on a given day is \$590$590 and is growing…

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Q: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

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

Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: 1) loga(3-1ogalx-)=2

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

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: Find exponential equation by using these two point (-2,6) and (3,1)

A: Consider y=aebx for some real numbers a and b. As (-2,6) satisfies the equation,…

Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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

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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: The average profit a local store owner earns on a given day is \$120$120 and is growing…

A: given that average profit per day is $120 rate of growing is 76% per year we have to find profit…

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

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Q: A person places Php100,000 in a savings account which pays 3 percent interest per annum, compounded…

A: 2. Given that, A person places Php 100,000 in a savings account which pays 3 percent interest per…

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: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

Q: Jose invests $10,000 at 10% interest that is compounded continuously. Which is the value after 10…

A: We have to find compound amount

Q: The number of users on a website is 490 and is growing exponentially at a rate of 65% per year.…

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Q: Find the effective rate of interest for 10% compound continuously.

A: The continuous rate is calculated by raising the number "e" (approximately equal to 2.71828) to the…

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

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Q: express ln 3√4 in terms of ln 2 and/or ln 3

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Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

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

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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: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

A: General expression for exponential growth function is given by,                   n(t) = a(1+r)t…

Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

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: A principal of RM2000 is invested at 10% interest compounded continuously. After how many days will…

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Q: A bacteria culture starts with 100 bacteria and grows exponentially, after 1 hour the population is…

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Q: Find a formula for the exponential function passing through the points (-2,- -) and (1,20) 25

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Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: You invest 10,000  and pay 3% interest compound continuously . How will you have in 5 years?

A: Given that You invest 10,000 and pay 3% interest compound continuously .  Now we have to find amount…

Q: Use definition of hyperbolic function to prove that 2 sinh x cosh x = sinh 2x. Hence, solve the…

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Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money…

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Q: At what constant, continuous rate must money be deposited into an account if the account is to…

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