Compare 2/8 to 1/2 write to explain you step by step
1 answer:
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Answer:
(a) (i) 3.7 billion
(ii) $ 4.6 billion
(b) $ 0.3 billion/year
Step-by-step explanation:
Given equation that shows the amount( in billions of dollar ) spent by consumers on streamed music after t years since 2012,
f(t) = 3.7 + 0.84 ln(t + 1) ,
(a)
(i) for 2012, t = 0,
So, the amount spent by consumers on streamed music in 2012,
f(0) = 3.7 + 0.84 ln (1)
= 3.7 + 0.84(0)
= $ 3.7 billion
(ii) for 2014, t = 2 years,
So, the amount spent by consumers on streamed music in 2014,
f(0) = 3.7 + 0.84 ln (1+2)
= 3.7 + 0.84 ln(3)
= 3.7 + 0.9228
= 4.6228 billion
≈ $ 4.6 billion
(b) ∵ f(t) = 3.7 + 0.84 ln(t + 1),
Differentiating with respect to t,
For t = 2 years,
Hence, the amount spent by consumers on streamed music is growing with the rate of $ 0.3 billion/year in 2014