ricardo purchased a bunk bed for his children fora sale price of $276.25. The sale price was 65% of the original price. Calculat
1 answer:
Use the formula S=P-PD
S is sale price, original price is P, and PD is discounted percent,
276.25=P-P(.65), I turned the percent into a decimal.
276.25=P(1-.65)
276.25=P(1-.65)
276.25=P(.35)
Now cross multiply.
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Answer:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i
Explanation:
Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.
Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.
The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:
Then, the work consists in finding pairs (a,b) for which:
You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:
I will use b =0.5, b = 1, b = 1.5, b = 2
Then, four distinct complex numbers that have an absolute value of 3 are:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i