Problema Solution
A population of 8,000,000 increased a rate of .08% monthly. in how many months will the population he 10,000,000?
Answer provided by our tutors
1st month: 8,000,000
2nd month: 8,000,000 + 0.08*8,000,000 = 8,000,000*1.08
3rd month: 1.08*8,000,000 + 0.08*1.08*8,000,000 = 8,000,000*1.08^2
....
n th month: 8,000,000*1.08^(n - 1)
8,000,000*1.08^(n - 1) = 10,000,000 divide both sides by 8,000,000
1.08^(n - 1) = 5/4
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click here to see the equation solved for n
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n = 4 months approximately
After approximately 4 months the population will be 10,000,000.