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Stells [14]
2 years ago
8

The formula below gives T, the approximate time in years it takes a population to double if the annual growth rate is r percent.

Mathematics
1 answer:
matrenka [14]2 years ago
4 0
The answer is 
T=70/r=70/<span> 24/100=100*70/24=7000/24=291.6
</span>T=<span>291.6</span>
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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
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First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
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Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
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