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artcher [175]
3 years ago
15

In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

Answer:

III

Step-by-step explanation:

- 14 tell you that you should be moving left of (0,0) That makes the answer either in quad 2 or quad 3.

- 5i tells you that you are moving down. That tells you that you are moving down.

You are in quad III. It the question was -14 + 5i, you would be moving left and up. That would put you in quad II.

Andrej [43]3 years ago
6 0

Answer:

C. III

Step-by-step explanation:

Edge 2020

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3 years ago
Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.
zaharov [31]
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7 0
3 years ago
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Type the correct answer in the box. Round your answer to the hundredth.
sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

A=P e^{k*t}

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

3P = P e^{0.05 * t}

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

\frac{3P}{P} = \frac{P}{P}  e^{0.05 * t}

3 = e^{0.05 * t}

ln(3) = 0.05 * t

t = \frac{ln(3)}{0.05} = 21.972245... years

6 0
2 years ago
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