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Question-96682

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Question Number 96682 by liki last updated on 03/Jun/20
Commented by liki last updated on 03/Jun/20
...am i right if use concept of arthmetic progression?,please if i do mistake need correcton!
$$…\mathrm{am}\:\mathrm{i}\:\mathrm{right}\:\mathrm{if}\:\mathrm{use}\:\mathrm{concept}\:\mathrm{of}\:\mathrm{arthmetic}\:\mathrm{progression}?,\mathrm{please}\:\mathrm{if}\:\mathrm{i}\:\mathrm{do}\:\mathrm{mistake}\:\mathrm{need}\:\mathrm{correcton}! \\ $$
Commented by Rio Michael last updated on 03/Jun/20
try using the population growth rate formula twice...while i think of something
$$\mathrm{try}\:\mathrm{using}\:\mathrm{the}\:\mathrm{population}\:\mathrm{growth}\:\mathrm{rate}\:\mathrm{formula}\:\mathrm{twice}…\mathrm{while} \\ $$$$\mathrm{i}\:\mathrm{think}\:\mathrm{of}\:\mathrm{something} \\ $$
Commented by mr W last updated on 04/Jun/20
check the question at first! population growth or population? 24 000 000 or 2 400 000? besides the year 2000 is in the past, the population of this year is already a reality. a reality doesn′t need to be calculated.
$${check}\:{the}\:{question}\:{at}\:{first}! \\ $$$${population}\:{growth}\:{or}\:{population}? \\ $$$$\mathrm{24}\:\mathrm{000}\:\mathrm{000}\:{or}\:\mathrm{2}\:\mathrm{400}\:\mathrm{000}? \\ $$$$ \\ $$$${besides}\:{the}\:{year}\:\mathrm{2000}\:{is}\:{in}\:{the}\:{past}, \\ $$$${the}\:{population}\:{of}\:{this}\:{year}\:{is}\:{already} \\ $$$${a}\:{reality}.\:{a}\:{reality}\:{doesn}'{t}\:{need}\:{to}\:{be} \\ $$$${calculated}. \\ $$
Commented by Rio Michael last updated on 04/Jun/20
hahahahaha, right sir but lets just take that as mathematics
$$\mathrm{hahahahaha},\:\mathrm{right}\:\mathrm{sir} \\ $$$$\mathrm{but}\:\mathrm{lets}\:\mathrm{just}\:\mathrm{take}\:\mathrm{that}\:\mathrm{as} \\ $$$$\mathrm{mathematics} \\ $$
Answered by Rio Michael last updated on 04/Jun/20
A = P(1 + r)^n at 1985 let n = 0 then in 1995, n = 10 A = 24000000 , P = 20000000 ⇒ 24000000 = 20000000(1 +r)^(10) ⇒ 1.2 = (1 + r)^(10) log 1.2 = 10 log(1 + r) 0.0079181246 = log(1 + r) ⇒ 1 + r = 1.02 ⇒ r = 0.02 now n = 5, P = 24000000, A = ? ⇒ A = 24000000(1 +0.02)^5 ≈ 26000000
$$\:{A}\:=\:{P}\left(\mathrm{1}\:+\:{r}\right)^{{n}} \\ $$$$\mathrm{at}\:\mathrm{1985}\:\mathrm{let}\:{n}\:=\:\mathrm{0} \\ $$$$\mathrm{then}\:\mathrm{in}\:\mathrm{1995},\:{n}\:=\:\mathrm{10} \\ $$$${A}\:=\:\mathrm{24000000}\:,\:{P}\:=\:\mathrm{20000000} \\ $$$$\Rightarrow\:\mathrm{24000000}\:=\:\mathrm{20000000}\left(\mathrm{1}\:+{r}\right)^{\mathrm{10}} \\ $$$$\:\Rightarrow\:\mathrm{1}.\mathrm{2}\:=\:\left(\mathrm{1}\:+\:{r}\right)^{\mathrm{10}} \\ $$$$\:\:\:\mathrm{log}\:\mathrm{1}.\mathrm{2}\:\:=\:\mathrm{10}\:\mathrm{log}\left(\mathrm{1}\:+\:{r}\right) \\ $$$$\:\:\mathrm{0}.\mathrm{0079181246}\:=\:\mathrm{log}\left(\mathrm{1}\:+\:{r}\right) \\ $$$$\Rightarrow\:\mathrm{1}\:+\:{r}\:=\:\mathrm{1}.\mathrm{02}\:\Rightarrow\:{r}\:=\:\mathrm{0}.\mathrm{02} \\ $$$$\mathrm{now}\:{n}\:=\:\mathrm{5},\:{P}\:=\:\mathrm{24000000},\:{A}\:=\:? \\ $$$$\Rightarrow\:{A}\:=\:\mathrm{24000000}\left(\mathrm{1}\:+\mathrm{0}.\mathrm{02}\right)^{\mathrm{5}} \:\approx\:\mathrm{26000000} \\ $$$$ \\ $$
Commented by mr W last updated on 04/Jun/20
maybe you are right. but the question says the population growth in 1985 was 2000000, not the population in 1985 was 20000000.
$${maybe}\:{you}\:{are}\:{right}. \\ $$$${but}\:{the}\:{question}\:{says}\:{the}\:{population} \\ $$$${growth}\:{in}\:\mathrm{1985}\:{was}\:\mathrm{2000000},\:\boldsymbol{{not}} \\ $$$${the}\:{population}\:{in}\:\mathrm{1985}\:{was}\:\mathrm{20000000}. \\ $$
Commented by Rio Michael last updated on 04/Jun/20
well sir , you cannot expect the population growth of a country to be 20,000,000 right that is not logical except they are Rabbits not humans. I assumed the he/she meant the population not population growth.
$$\mathrm{well}\:\mathrm{sir}\:,\:\mathrm{you}\:\mathrm{cannot}\:\mathrm{expect}\:\mathrm{the}\:\mathrm{population} \\ $$$$\mathrm{growth}\:\mathrm{of}\:\mathrm{a}\:\mathrm{country}\:\mathrm{to}\:\mathrm{be}\:\mathrm{20},\mathrm{000},\mathrm{000}\:\mathrm{right} \\ $$$$\mathrm{that}\:\mathrm{is}\:\mathrm{not}\:\mathrm{logical}\:\mathrm{except}\:\mathrm{they}\:\mathrm{are}\:\mathrm{Rabbits} \\ $$$$\mathrm{not}\:\mathrm{humans}. \\ $$$$\mathrm{I}\:\mathrm{assumed}\:\mathrm{the}\:\mathrm{he}/\mathrm{she}\:\mathrm{meant}\:\mathrm{the}\:\mathrm{population} \\ $$$$\mathrm{not}\:\mathrm{population}\:\mathrm{growth}. \\ $$$$\: \\ $$

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