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The number of compact discs N purchased each year, in millions, can be
approximated by the function

N(t) = 384(1.13)

where t is the number of years since 1991.

After what amount of time will two billion compact discs be sold?


What is the doubling time for the number of compact discs sold in one year?

Sagot :

mathstudent55

Answer:

126.5 years

Step-by-step explanation:

N(t) = 384(1.13)^t

2,000,000,000 = 384(1.13)^t

(1.13)^t = 2,000,000,000/384

log [(1.13)^t) = log (2,000,000,000/384)

t × log 1.13 = log (2,000,000,000/384)

t = [log (2,000,000,000/384)]/(log 1.13)

t = 126.5

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