Question

The population of Nilam doubles in size every 6 yr. In 1990, its population was 20,000. a) Find an exponential function of the form P(t) = P_0 n^(t/T) that models Nilam's population after t years. b) Find the equivalent exponential model of the form P(t) = P_0 e^(rt). c) What is Nilam's yearly percentage growth rate? d) Without using a calculator, find Nilam's population in 2008. e) How fast was Nilam's population changing in 2000? a) Find an exponential function of the form P(t) = P_0 n^(t/T) that models the situation. The exponential function is P(t) = [ ]. (Use integers or fractions for any numbers in the expression.) b) Find the equivalent exponential model of the form P(t) = P_0 e^(rt). The exponential model is P(t) = [ ] e^([ ]t). (Round to four decimal places as needed.) c) Nilam's yearly percentage growth rate is [ ]%. (Round to two decimal places as needed.) d) The population in 2008 is [ ] people. e) Nilam's population was growing at a rate of [ ] [ ] in 2000. (Do not round until the final answer. Then round to the nearest whole number as needed.)

          The population of Nilam doubles in size every 6 yr. In 1990, its population was 20,000.

a) Find an exponential function of the form P(t) = P_0 n^(t/T) that models Nilam's population after t years.
b) Find the equivalent exponential model of the form P(t) = P_0 e^(rt).
c) What is Nilam's yearly percentage growth rate?
d) Without using a calculator, find Nilam's population in 2008.
e) How fast was Nilam's population changing in 2000?

a) Find an exponential function of the form P(t) = P_0 n^(t/T) that models the situation.

The exponential function is P(t) = [ ].
(Use integers or fractions for any numbers in the expression.)

b) Find the equivalent exponential model of the form P(t) = P_0 e^(rt).

The exponential model is P(t) = [ ] e^([ ]t).
(Round to four decimal places as needed.)

c) Nilam's yearly percentage growth rate is [ ]%.
(Round to two decimal places as needed.)

d) The population in 2008 is [ ] people.

e) Nilam's population was growing at a rate of [ ] [ ] in 2000.
(Do not round until the final answer. Then round to the nearest whole number as needed.)

$The population of Nilam doubles in size every 6 yr. In 1990, its population was 20,000. a) Find an exponential function of the form P(t) = P0 n^(t/T) that models Nilam's population after t years. b) Find the equivalent exponential model of the form P(t) = P0 e^(rt). c) What is Nilam's yearly percentage growth rate? d) Without using a calculator, find Nilam's population in 2008. e) How fast was Nilam's population changing in 2000? a) Find an exponential function of the form P(t) = P0 n^(t/T) that models the situation. The exponential function is P(t) = [ ]. (Use integers or fractions for any numbers in the expression.) b) Find the equivalent exponential model of the form P(t) = P0 e^(rt). The exponential model is P(t) = [ ] e^([ ]t). (Round to four decimal places as needed.) c) Nilam's yearly percentage growth rate is [ ]%. (Round to two decimal places as needed.) d) The population in 2008 is [ ] people. e) Nilam's population was growing at a rate of [ ] [ ] in 2000. (Do not round until the final answer. Then round to the nearest whole number as needed.)$

Added by Frank M.

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