Type the correct answer in each box. A music company is introducing a new line of acoustic guitars next quarter. These are the c
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Answer:
a)
b) Wind capacity will pass 600 gigawatts during the year 2018
Step-by-step explanation:
The world wind energy generating capacity can be modeled by the following function
In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.
371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.
This means that
(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts
(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?
This is t years after the end of 2014, in which t found when W(t) = 600. So
We have that:
So we apply log to both sides of the equality
It will happen 3.1 years after the end of 2014, so during the year of 2018.
The prime factorisation of 600 is given by
Therefore, a = 3, b = 3, c = 5 and d = 2.
Therefore, a = 3, b = 3, c = 5 and d = 2.