Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB←→, and one of the chairs on t
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Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
Now, solve this.
Therefore, the future value is 371.293 algae.
The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.
The smallest integer is 120, since:
mod 18 = 0, (reminder after dividing
by 18 is 0) and
mod 640 = 0 (reminder after dividing
by 18 is 0)
Hence, The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120.
Learn more about Divisibility here
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