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Alinara [238K]
3 years ago
14

In ELECTRONICS, the total resistance to the flow of electricity in a circuit is called the impedance, Z. Impedance is represente

d by a complex number. The total impedance in a series circuit is the sum of individual imepedances. The impedance in one part of a circuit is Z1 = 3 + 4i. In another part of a circuit, the impedance is Z1 = 5 - 2i. What is the total impedance of the circuit?
Mathematics
1 answer:
Tema [17]3 years ago
8 0
Total impedance of circuit is Z1 + Z2

Here it is important that real numbers we sum with real numbers and complex numbers with complex numbers

Let Zs represent total impedance.

Zs = Z1 + Z2 = 3 + 4i + 5 - 2i = 3 + 5 + 4i - 2i = 8 + 2i

Answer is :

8+2i
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3 years ago
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alexira [117]

Answer:

A) $8200.

B) 16.4%

Step-by-step explanation:

Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.

A) What is the investment firms total profit?

B) What is the percent profit of the total investment?

Given: Company A invested $40000 and made profit of 15%

           Company B invested $10000 and made profit of 22%

A) First lets find the profit of company A and B.

Company A= \frac{15}{100} \times \$ 40000= \$ 6000.

∴ Profit of company A is $6000.

Company B= \frac{22}{100} \times \$ 10000= \$ 2200

∴ Profit of company B is $2200.

Total profit= profit of company A+ profit of company B

⇒Total\ profit= \$ 6000+\$ 2200

∴ Total Profit= \$ 8200

Hence, the total profit of investment firm is $8200.

B) Now finding the percentage of total profit made by firm.

Total investment by the firm= \$ 40000+\$ 10000= \$ 50000

∴ Total investment done by the firm is $50000.

Percent of profit= \frac{Total\ profit}{Total\ investment} \times 100

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Step-by-step explanation:

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