How do I write the exponential function in the form f(t) = ab^t for the points (0, 2000) and (2,20)?

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

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Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

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

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Q: The initial population size was 53 hippogriffs. After only 5 year(s), a new count was taken…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

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: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

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Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula                                P = ∫0T f(t)e-rt dt

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: 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.

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

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Q: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

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 growth rate of the bacterium, a common bacterium found in the human intestine, is proportional…

A: From the problem, we know that -The growth rate of the bacterium found in the human intestine is…

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

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: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

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: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

A: Linear equation are those equation in which highest power of the variable is 1. The linear equation…

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

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Q: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

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

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Q: Aman with $30,000 to invest decides to diversity his investments by placing $15,000 in an account…

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

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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: $570 is invested in an account earning 5.8% interest (APR), compounded continuously. Write a…

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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: 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: low fast is

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