contestada

Total power generated by wind worldwide doubles every 3 years. In a particular year, the world wind-generating capacity was about 85 thousand megawatts. Find the continuous growth rate and give a formula for wind generating capacity W
W
(in thousand megawatts) as a function of t
t
, the number of years in the future.

The continuous growth rate is percent.

W=
W
=

Respuesta :

jorel1380
If there is an exponential growth rate, then FV=Pe^rt, where FV is future value, P is the initial amount, r is the growth constant, and t is time. So, the equation here is:
W(t)=W(0)e^rt, where W(0)is the initia
l rate, and t is time. In order to double:
W(3)/W(0)=2=e^3r
ln 2= ln e^3r=3r ln e=3r
r=.23104
So W(t)=85e^.23104t  where the products give the electricity produced in thousands of megawatts
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