the continuous growth rate is 110%

effective growth rate?__%

continuous growth rate is 9%
effective growth rate?__%

continuous growth rate is 5.5%
effective growth rate?__%

round to 2 decimal places when necessary for effective growth rate...

is there a formula for effective growth rate

asked by Evenlyn
  1. I will do the last one, you do the other two

    G(t)=650e^(0.055t) , tells me the continuous rate is 5.5%

    with a different base:
    G(t) = 650(1+r)t

    pick t = 5, (we can choose anything)
    in the first:
    g(5) = 650 e^(.055(5))
    = 650 e^(.275) = 855.7449

    in the 2nd:
    855.7449 = 650(1+r)^5
    1.316530675 = (1+r)^5
    take 5th root of both sides

    1.05654 = 1+r
    r = .05654 -----> 5.654%

    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculous Pre

    A population grows from 11,000 to 15,000 in three years. Enter your answers to three decimal places. Assuming the growth is exponential, find the growth rate and continuous growth rate Growth rate ______ %? Continuous rate
  2. Math

    A population doubles every 18 years. Assuming exponential growth find the following: (a) The annual growth rate: (b) The continuous growth rate is
  3. precalculus

    A population doubles every 30 years. Assuming exponential growth find the following: annual growth rate: % continuous growth rate: %
  4. math

    If in culture of yeast the rate of growth y'(t) is proportional to the amount y(t ) present at time t, and if y(t) doubles in 1 day, how much can be expected after 3 days at the same rate of the growth? After 1 week    (Hint:
  5. algebra

    The number of bacteria in a certain population increases according to a continuous growth model, with a growth rate parameter of 25% per hour. An initial sample is obtained from this population, and after six hours, the sample has
  6. Algebra II Help

    4) The function f(x)=2(3)^x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which
  7. math

    Suppose that the rate of inflation over the next 60 years will be 3%, the rate of your income growth will be 4% over the next 30 years, and the rate of your investments will also be 4%. Assume continuous growth of salary, savings,
  8. Algebra

    The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double? Note:
  9. Algebra II

    An investment service promises to triple your money in 12 years. Assuming continuous compounding of interest, what rate of interest is needed? For the question is it asking me if simple interest or continuously compounded interest
  10. Math

    Assume the carrying capacity of the earth is 9 billion. Use the 1960s peak annual growth rate of 2.1​% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current

More Similar Questions