12. If the graph of the exponential function f(x) = a", where a > 0 and a + 1, is decreasing, then a must be less than

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: Population decay

Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

A:

Q: If $4000 is invested at 7.1% compounded continuously, graph the amount in the account as a function…

A: The future amount obtained when the interest is compounded continuously is given by , where is the…

Q: Suppose that fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…

A:

Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: 1. Suppose a population of rabbits starts with 30 rabbits. 60 days later, the population is 120…

A:

Q: 3. How long will it take $5000 to triple if it is invested at 7.5% compounded continuously?

A:

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: An investment will generate income continuously at the constant rate of $1000 per year for 6 years.…

A: For continuous income stream, we have

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A: While calculating compound interest, the addition of interest to the principal sum of a loan or a…

Q: 18. Suppose $7,800 is invested in an account at an annual interest rate of 4.3% compounded…

A:

Q: Find an exponential function with horizontal asymptote y=2 whose graph contains the points( 0,3)…

A:

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

A:

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

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

A:

Q: Prove that the straight line y=3-2x intersects the exponential curve y=e^x at a point whose…

A: Please refer to the image below

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: 10. How long will it take you to reach $4000 compounded continuously if you invested the $5200 at…

A: A=$5200, P=$4000, r=4.7%=0.047

Q: 2.A mold population is growth at 8% every three months. If there is initially 3 cubic centimeters of…

A: Formula : Population Growth: P=Po(1+r)n r= rate of growth Po =initial value P= present Value n= no…

Q: Suppose that April has access to an investment that will pay 10% interest compounded…

A: Given, a situation, where April has access to an investment that will pay 10% interest compounded…

Q: 11) Suppose that $4000 is invested at an interest rate of 5.8% per year, compounded continuously.…

A: We can find the answer for question-11 as below.

Q: If $P is invested for n years at 10% compounded continuously, the future value that results after n…

A:

Q: 12) How long does it take $1000 to double if it is invested at 5% compounded continuously?

A:

Q: f(x) =

A: Given that: Suppose that f is an exponential function with percentage growth rate of 5 %. f ( 0) = 5

Q: Prove that the straight line y = 3 - 2x intersects the exponential curve y =e^x x at a point whose…

A: y=3-2x  and  y=exat f(x)=3-2x-ex

Q: 1 Find the exponential function f(x) = a* that passes through the point - 3, 216 and has a y- -…

A:

Q: Suppose that you want to have a $50,000 retirement fund after 40 years. How much will you need to…

A: Given query is to find the investment amount so that can give $50000 after 40 years.

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

A:

Q: Suppose that a printing firm considers its production as a continuous income stream. If the annual…

A: Consider the given: ft=98.3e−0.8t+3For present value, put…

Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

A:

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: Match the exponential function with its graph. I II 2- III IV 2- (a) f(x) = -2x ---Select-- + (b)…

A:

Q: Suppose that f is an exponential function with percentage decay rate of 2% and that f(0)=3.  Find a…

A:

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

A:

Q: Suppose it is known that the population of the commu nity in Problem I is 10,000 after 3 years. What…

A: It is given that the population of the community is 10,000 after 3 years. We have to find the…

Q: Suppose that the number of bacteria in a culture at time t is given by N = 5000 (25 + te ). (a) Find…

A: Given that the bacteria culture model at a time t is given as  Nt=500025+te-t20 To find the largest…

Q: In the future value of $1000 invested for n years at 12%, compounded continuously, is given by S=…

A:

Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

A:

Q: With U.S. Department of Energy data for selected years from 2000 and projected to 2030, sulphur…

A:

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

A: Cost of new machine = 53,000 Investment = 53000 Rate of interest, r= 0.7% per year = 0.007 Time = 9…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

A:

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: 11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3…

A:

Q: 2) Bank A offers 5% nominal interest compounded every 3 months. What is the nominal interest rate…

A: Given that, Bank A offers 5% nominal interest compounded every 3 months.

Q: Suppose that a machine's production can be considered as a continuous income stream with annual rate…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

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Q: Suppose f E C" (IR). Show directly that a fixed point xo is exponentially stable if f' (xo) 0.

A: When f'x0<0, the function is decreasing at x0 and when f'x0>0, the function is increasing x0.…