Question 1175035
the growth rate is .4 per time period.
the expnential 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 p1, n = 1
in p2, n = 2
in p11, n = 11


you are given that p0 = 14.


in the formula, that becomes f = 14 * (1 + .4) ^ 0 = 14 * 1.4 ^ 0 = 14.


the formula for p1 becomes f = 14 * (1 + .4) ^ 1 = 14 * 1.4 ^ 1 = 19.6.


the formula for p2 becomes f = 14 * (1 + .4) ^ 2 = 14 * 1.4 ^ 2 = 27.44.


the formula for p11 becomes f = 14 * (1 + .4) ^ 11 = 14 * 1.4 ^ 11 = 566.9391238.


the equation can be graphed as shown below.
first graph is for n = 0, 2, 2 which covers p0, p1, p2.
second graph is for n = 11 which covers p11.


<img src = "http://theo.x10hosting.com/2021/021501.jpg" >


<img src = "http://theo.x10hosting.com/2021/021502.jpg" >