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4 years ago

Which of the following is the conjugate of a complex number with 2 as the real part and −8i as the imaginary part?

Mathematics

2 answers:

Sergio [31]4 years ago

6 0

Hello,

$\overline{2-8i}=2+8i$
Answer B

sleet_krkn [62]4 years ago

4 0

Hi,

The complex number is

z = a+bi

For a = 2 and b = -8

z = 2+(-8)i
z = 2-8i

The conjugate is

z = a-bi

For a = 2 and b = -8

z = 2-(-8)i
z = 2+8i

Answer:

B. 2+8i

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Novay_Z [31]

Answer:

20300m^2

Step-by-step explanation:

first try to imagine the shape bisected into a rectangle and a triangle

to find the missing part of the triangle or the bottom side you need to subtract 70m from 140 m

140m-70m=70m this will be the base of your triangle

now you need the side

230m-60m=170

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70m x 170m=a

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now the rectangle

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8400m+11900m=a

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frutty [35]

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What is the greatest possible error for each measurement?

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4 years ago

Read 2 more answers

Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for

Anni [7]

Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as:

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

Let us first calculate the simple interest

The formula for simple interest is given as:

$\text{ simple interest } = \frac{ p \times n \times r}{100}$

Substituting the given values,

$\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240$

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

How much are the monthly loan payments?

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

$\text{ Monthly loan payment } = \text{ Total amount payable } \div 24$

$\text{ Monthly loan payment } = \frac{2240}{24} = 93.33$

Thus monthly loan payment is $ 93.33 Option C is correct

4 0

3 years ago