Consumers are spending more on music from digital sources than they do on cds. purchases of streamed music from services such as pandora and spotify are projected to grow in accordance with the model f(t) = 3.7 + 0.84 ln(t + 1) (0 ≤ t ≤ 5) where f(t) is measured in billions of dollars and t is measured in years, with t = 0 corresponding to 2012.

(ai) what was the amount spent by consumers on streamed music in 2012?

$ billion

(aii) what was the amount spent by consumers on streamed music in 2014? (round your answer to one decimal place.)

$ billion

(b) how fast was the amount spent by consumers on streamed music growing in 2014? (round your answer to one decimal place.)

$ billion/year

(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

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation:

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation