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3 years ago

Simplify the given expression below: 2 divided by the quantity of 2 plus 5i

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

2/(2+5i) if you solve it, the answer would be 1+2.5i

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The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

x (1 + 20%)
x (1.2)
1.2x

Year 2

1.2x (1 + 25%)
1.2x (1.25)
1.5x

Year 3

1.5x (1 + 30%)
1.5x (1.3)
1.95x

Year 4

1.95x (1 + 10%)
1.95x (1.1)
2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0

2 years ago

Geometry help needed!

salantis [7]

Answer:

AC Midpoint (2,0)-

CB Midpoint (5,-4)

midlength is 5

Step-by-step explanation:

midpoint formula $(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})$

A(2,4) C(2,-4)

$\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0$

(2,0)

C(2,-4) B(8,-4)

$\frac{8+2}{2} =\frac{10}{2} =5$

$\frac{-4-4}{2} =\frac{-8}{2} =-4$ midpoint is (5,-4)

Distance between the 2 midpoints is the midsegment

(2,0) and (5,-4)

$d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }$

$d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5$

3 0

3 years ago

TJ invested $4000 in a bond at a yearly rate of 2% for 30

slavikrds [6]

Answer:

2.5 years

Step-by-step explanation:

I = 200 T=200/4000 0.2 = 2.5 years

P= 4000

R = 2% 0.2

T = ?

4 0

3 years ago

Can I get some help on this I have so many assignments to do and I just want to go to sleep

AfilCa [17]

Hi! It’s me from your other post! Here’s my work for you! It’s been awhile since I’ve done this stuff so I’m really sorry if I get you a bad grade! I just wanted to help out:))

7 0

3 years ago

How can I write 20,484,163 in expanded from

Leokris [45]

20,000,000+400,000+80,000+4000+100+60+3

8 0

3 years ago

Read 2 more answers