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

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: A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.…

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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: $560 is invested in an account earning 6.3% interest (APR), compounded monthly Write a function…

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

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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: Find the exponential equation in the form y=ab^x whose graph passes through the points ( -3,0.032)…

A: Solution: The objective is to find the exponential equation is of the form y=abx

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: 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: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest,…

A: it is given that, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded…

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: How long would it take for a population to double if the population growth is 0.5%? please show your…

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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: Find the time needed to double an investment at 8% annual interest rate compounded continuously.

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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: 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: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

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

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

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Q: The population of a pigeons in a city is 6200 and is growing exponentially at 17% per year. Write a…

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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: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

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

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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 the present value of $10000 at the end of 25 years if money can be invested at 12% with…

A: We will use the compound interest formula to find the present value

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

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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: low fast is

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