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Answer : 1. "15,972"
If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.
5Q:
If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.
- 115,972true
- 212,200false
- 311,200false
- 410,200false
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Answer : 1. "15,972"
Explanation :
To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:
𝑃=𝑃0×(1+𝑟)𝑛P=P0×(1+r)n
Where:
- 𝑃P = Population after 𝑛n years
- 𝑃0P0 = Initial population
- 𝑟r = Rate of increase (in decimal form)
- 𝑛n = Number of years
Given:
- 𝑃0=12,000P0=12,000 (Initial population)
- 𝑟=0.10r=0.10 (10% increase per annum)
- 𝑛=3n=3 (Number of years)
Substitute these values into the formula:
𝑃=12,000×(1+0.10)3P=12,000×(1+0.10)3
𝑃=12,000×(1.10)3P=12,000×(1.10)3
𝑃=12,000×(1.331)P=12,000×(1.331)
𝑃=15,972P=15,972
So, the population after 3 years would be approximately 15,972.