Try this solution:1. to make up the characteristic equation:α²+5α=0;
2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ
Answer:
3 days
Step-by-step explanation:
company A would have the equation 50x+40 =y and company B would be 30x + 100 =y. we're tying to find the days that these cost the same so you would do 50x+40 = 30+100. When you isolate x you get 3
Answer:
volume = 4/3 (pi x r^3)
Volume = 4/3 (pi x 15^3)
Volume = 4/3 (3.14 x 3375)
Volume = 14130 cubic cm
Step-by-step explanation:
Based on the amount of oranges bought, those sold at a profit and those sold at a loss, the overall profit is 14.2%
<h3>What is the overall profit?</h3>
Assume that the buying price was $1 each.
The amount earned from 60% of them is:
= 60% x 100,000 x 1
= $60,000
The profit from selling 50% of the remaining is:
= (50% x 40,000) x 1.60
= $32,000
The loss from selling the other 50%:
= (50% x 40,000) x 0.90
= $22,222.22
Total selling price:
= 60,000 + 32,000 + 22,222.22
= $114,222.22
Total profit:
= (114,222.22 - 100,000) / 100,000
= 14.2%
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Answer:
Step-by-step explanation:
A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.
Example:
Solve 2x + 3 ≤ 7, where x is a natural number.
Solution:
2x + 3 ≤ 7
Subtracting 3 from both the sides,
2x ≤ 4
Dividing both sides by 2,
x ≤ 2
Since x is a natural number,
Solution set = {1,2}.
