A population grows according to an exponential growth model. The initial population is Po = 19 and the growth rate is r = 0.4.

Then find an explicit formula for Pn
Then use the formula to find P11

Respuesta :

P11 equals  769.417 and general formula is 19*(1.4)^(n)

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself

The growth rate is .4 per time period.

the exponential growth model is f = p * (1 + .4) ^ n

f is the future value.

p is the present value.

r is the growth rate per time period.

n is the number of time periods.

in p0, n = 0

in p11, n = 11

you are given that p0 = 19

in the formula, that becomes f = 19 * (1 + .4) ^ 0 = 19 * (1.4) ^ 0 = 19.

the formula for p1 becomes f = 19 * (1 + .4) ^ 1 = 19 * (1.4) ^ 1 = 26.6

the formula for p11 becomes f = 19 * (1 + .4) ^ 11 = 19 * (1.4) ^ 11 = 769.417

the formula for pn becomes = 19*(1.4)^(n)

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