Find an exponential function of the form f(x) = ba , given that the Y-intercept of the function is --, and the graph of the 5 (-1,-) function passes through the point Simplify your answer completely and enter exact answers only (no approximations). 5 f(x) =

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A: The present value of that income stream is given by   PV=∫0TF(t) e-rtdtPV=∫068000…

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A: Solving the differetial equation: Q'=-rQ

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Q: 41. Time Required to Reach a Goal How many years will it take for an initial investment of $10,000…

A: Consider that the initial investment of $10,000 compounded annually to grow to $25000, with rate of…

Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt            Where "M0 " is…

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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

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A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

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A: Given: A(t)=A0(0.93)t A0=100%

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Q: Find the present value. 1 To get $70 after 25 years at 6% compounded continuously The present value…

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Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: Please see the below picture for detailed solution.

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: We are given that: The radioactive element decays at rate 5% annually and there are 40 g substance…

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Cost of new machine = 60,000 Investment = 60000 Rate of interest, r= 1.4% per year = 0.014 Time = 6…

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Q: Consider the exponential equation. 6* = 219 a. Find x in exact form: x = b. Approximate x, correct…

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Q: 4. A deposit of $2000 is invested in an account that earns 4.5% interest. Write the equation and…

A: Amount after 't' years: A = Pert

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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: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314c), you can derive a rule of thumb that…

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Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

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Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

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A: Given  The logarithmic equation is log10 x -log10y = 2 Here x  >0  and y >0  because negative…

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A: detailed solution is given below

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A: This question is related to population growth, We will solve it using integration.

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: A) Using two iterations of the Simple Iterative Method, find the root of the following equation 2x-…

A: Since you have asked multiple questions, we will solve first question for you. If you want other…

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

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Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314 c), you can derive a rule of thumb…

A: Given a rule of thumb that says, “To estimate how many years it will take an amount of money to…

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

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Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

Q: The rate of auto thefts doubles every 6 months. Determine, to two decimal places, the base b for an…

A: We have to find base b and  tripling time to the nearest tenth of a month.

Q: The function that grows at a rate equal to its value is 1) exponential function with base e 2)…

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Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

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