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Alekssandra [29.7K]
3 years ago
9

5(6-i)+(6-i)(3-i). show work.

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

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Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t
murzikaleks [220]

Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

Sn = sum of the nth terms of the series

a = the first term(salary of the first year

r = common ratio

n = number of years.

From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649224 - 1)] / 0.055

S15 = [32900 × 1.23247649224] / 0.055

S15 = $737245

7 0
3 years ago
If the product of the extremes is 8,then the geometric mean is
Jlenok [28]

The geometric mean of two numbers is the square root of their product:

GM(a,b)=\sqrt{ab}

So, if the product is 8, the geometric mean is \sqrt{8}=2\sqrt{2}

7 0
2 years ago
Cynthia drove 288 miles in 4 1/2 hours. What was her speed in miles per hour?
a_sh-v [17]
4*1/2=2
288/2
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her speed was 144 miles per hour
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kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the near
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Answer: 90%

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
What is a y-intercept of the continuous function in the table?
Vadim26 [7]

Answer:

5=y-intercept

Step-by-step explanation:

the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5

5 0
3 years ago
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