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elena-14-01-66 [18.8K]
3 years ago
6

The population of a city increases by 5% every year. If it’s population today is 300,000 what will it’s population be in 2 years

?
Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

Population after n years = Present Population =(1+

100

r

​

)

n

Population after 2 years =50000(1+

100

5

​

)

2

=50000(

100

105

​

)

2

=50000×

100

105

​

×

100

105

​

=5×105×105=55125

Step-by-step explanation:

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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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