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natali 33 [55]
3 years ago
14

Simplify and show your work -8 + 4i / 4 - 4i

Mathematics
1 answer:
zhenek [66]3 years ago
7 0
=  ( -8 + 4i ) / (4 - 4i ) = 4(-2 + i )  /  4( 1- i ) = ( -2 + i )  /  ( 1 - i )
=  (i  - 2  )(-i +1)^-1
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Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink ha
ICE Princess25 [194]

Answer:

Sugar concentration of the mixed soft drink will be <em>32.5%.</em>

<em></em>

Step-by-step explanation:

Sugar concentration of first drink = 20%

Volume of first soda = 250 ml

Sugar in first soda = 20% of 250 ...... (1)

Sugar concentration of second drink = 45%

Volume of second soda = 250 ml

Sugar in second soda = 45% of 250 ...... (2)

Let x\% be the sugar concentration in resultant mixture.

Volume of mixture = 250 + 250 = 500 ml

Sugar in mixture = x\% of 500 ml ...... (3)

Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):

20% of 250 + 45% of 250 = x\% of 500

\Rightarrow \dfrac{20}{100} \times 250 + \dfrac{45}{100} \times 250 =  \dfrac{x}{100} \times 500\\\Rightarrow 2 \times x = 65\\\Rightarrow x = 32.5\%

Hence, Sugar concentration of the mixed soft drink will be <em>32.5%.</em>

8 0
2 years ago
Write these numbers as fractions. Simplify the answers. 0.5, 12.3, 0.07, 0.625
motikmotik

0.5 => 5/10 => 1/2

12.3 => 123/10

0.07 => 7/100

0.625 => 625/1000 => 25/40 => 5/8

4 0
3 years ago
Read 2 more answers
The segments shown below could form a triangle.
erastovalidia [21]

sorry i don,t unerstan what u wn,t

8 0
3 years ago
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James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i
FinnZ [79.3K]

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Further Explanation:

Given:

The current salary of James is \$ 42000.

The time taken to complete the college degree is 2{\text{ years}}.

The cost of the college degree is \$ 28000.

The James’ new salary after college degree will be \$ 56000.

Calculation:

The total investment of James can be calculated as follows,

\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}

The total investment for 2 years will be \$ 140000.

The James’ new salary after college degree will be \$ 56000.

The time taken by James to recover \$ 140000.

\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}

To recover the investment James will take \boxed{2.5{\text{ years}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445
  2. Learn more about range and domain of the function brainly.com/question/3412497
  3. Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

6 0
3 years ago
Read 2 more answers
The perimeter of a rectangular playgroundis 46m. If the length of the park is 7m, what is the width of the park ?
Vikki [24]

Answer:

32

Step-by-step explanation:

7m + 7m = 14m

46m - 14m = 32m

4 0
2 years ago
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