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stira [4]
4 years ago
10

A mathematical model for population growth over short intervals is given by PequalsUpper P 0 e Superscript rt​, where Upper P 0

is the population at time tequals​0, r is the continuous compound rate of​ growth, t is the time in​ years, and P is the population at time t. How long will it take a​ country's population to triple if it continues to grow at its current continuous compound rate of 0.86​% per​ year?
Mathematics
1 answer:
Anna35 [415]4 years ago
7 0

Answer:

  12.8 years

Step-by-step explanation:

Put the given numbers into the model and solve for t.

3P_0=P_0e^{.086t}\\\\3=e^{.086t} \qquad\text{divide by $P_0$}\\\\\ln{3}=.086t \qquad\text{take the natural log}\\\\\dfrac{\ln{3}}{.086}=t\approx 12.77

It will take about 12.77 years for the population to triple at the current growth rate.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
At smith lake boat rentals it costs $25 per hour to rent a boat plus one time charge for cleaning. The bengal family rented a bo
vesna_86 [32]

Answer: the Jones family paid $164

Step-by-step explanation:

Let x represent the one time charge that smith lake boat rentals charge for cleaning.

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3 0
3 years ago
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5 0
3 years ago
Rule: y = x - 3<br> Help
madam [21]

Answer:

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3 0
3 years ago
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