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For each of the last 5 years, the population of a colony of
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07 Nov 2019, 10:40
07 Nov 2019, 10:40
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For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?
A. \((5)(1.08 P^{-1})\)
B. \((1.08)^{-5}P^{-1}\)
C. \((1.08P)^{-5}\)
D. \((1.08)^{-5}P\)
E. \((1.08)^{-5}P^5\)
A. \((5)(1.08 P^{-1})\)
B. \((1.08)^{-5}P^{-1}\)
C. \((1.08P)^{-5}\)
D. \((1.08)^{-5}P\)
E. \((1.08)^{-5}P^5\)
Re: For each of the last 5 years, the population of a colony of
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08 Nov 2019, 06:44
08 Nov 2019, 06:44
3
Carcass wrote:
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?
A. \((5)(1.08 P^{-1})\)
B. \((1.08)^{-5}P^{-1}\)
C. \((1.08P)^{-5}\)
D. \((1.08)^{-5}P\)
E. \((1.08)^{-5}P^5\)
A. \((5)(1.08 P^{-1})\)
B. \((1.08)^{-5}P^{-1}\)
C. \((1.08P)^{-5}\)
D. \((1.08)^{-5}P\)
E. \((1.08)^{-5}P^5\)
Here,
Let the population of beetles \(5\) yrs ago = \(x\)
Each year there is an increase of \(8\)%
that means in \(5\) yrs, total population = \(x * (1.08)^5\) = Current age = \(P\)
Therefore \(x = (1.08)^{-5}P\)
Re: For each of the last 5 years, the population of a colony of
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14 Nov 2019, 02:35
14 Nov 2019, 02:35
1
HI,
I used the compound interest formula to do this question.
Let the, Population 5years ago be the principle- x
and Population now be- P, while time given is 5 years
SINCE,C.I = P(1+r%)^t
we will come down to
x(1+8%)^5=P
isolating x we get,
x=P(1.08)^-5
Please shoot a kudos if you like the solution.
Thank you in advance!
I used the compound interest formula to do this question.
Let the, Population 5years ago be the principle- x
and Population now be- P, while time given is 5 years
SINCE,C.I = P(1+r%)^t
we will come down to
x(1+8%)^5=P
isolating x we get,
x=P(1.08)^-5
Please shoot a kudos if you like the solution.
Thank you in advance!
