All Answers 358468 Answers

Here you go.

I based the log on  AU (astronomical units)  but you could do it straight from the metre distance if you prefer.

It is just a matter of scale you have to say what your logarithmic scale is based on.

I also think the answer is B for the first one am I correct?

im going with B for the second one ?

\(16 = 16 e^{i 2\pi k},~k \in \mathbb{Z}\\ \sqrt[4]{16} = \sqrt[4]{16}e^{i \frac{2\pi k }{4}},~k = 0, 1, 2, 3 = \\ 2e^{0},~2e^{i\pi/2},~2e^{i\pi},~2e^{i3\pi/2} = \\ 2, 2i, -2, -2i\)

a hint i wanna give you for the second one is that do you see anything abnormal about it? 

maybe a point that isnt near the line of best fit?

Define #N by the formula #N = 0.5(N) + 1.
Calculate #(#(#50)).

\(\begin{array}{|rcll|} \hline \mathbf{\#N} &=& \mathbf{\dfrac{N}{2} + 1} \\\\ \#50 &=& \dfrac{50}{2} + 1 \\ &=& 26 \\\\ \#26 &=& \dfrac{26}{2} + 1 \\ &=& 14 \\\\ \#14 &=& \dfrac{14}{2} + 1 \\ &=& 8 \\\\ \mathbf{ \#(\#(\#50)) } &=& \mathbf{8} \\ \hline \end{array}\)

\(\text{There is only one complex number that equals 2. That number is ... 2}\\ \text{That being said there are an infinite number of representations of the complex number 2}\\ 2 = 2e^{i 2k \pi},~k\in \mathbb{Z}\\ \text{Four of these are $2e^{i2\pi},2e^{i4\pi},2e^{i6\pi},2e^{i8\pi}$}\)

Thank you, JoshuaGreen !

ahhhh i see!!! okay i understand how they got that number now :) thanks 

Mine is MichaelApple

AC     4.6x10¹⁶

^{______________}

Merc  5.79x10¹⁰

⁼.79447323x10⁶

=794,4732.3 times farther

where's the question :000

You should study "compound interest" which is very common in financial  investments. "Compound interest" means: You earn interest on interest.

ohhh 
but what do you mean by compound? 

Because you have 12 months in 1 year, and is compounded monthly.

why is it over twelve?

They have compounded the 5% monthly, which  is done like this: [1 + 0.05/12]^12 = 1.05116189788 - 1 =5.116189788% . They seemed to have used this rate to sum up the $30,000 salary for 5 years as follows:

∑[30000 * 1.051188^n, n, 0, 4] =$166, 162.79

awesome to hear that it wasn't too difficult and that you found it easy! 

could you explain why you got that number and how? :')
i am really confused. 

My teacher taught in the same way as you did, Melody. But I personally use the Table Method

It appears they have the 5% annual raise compounded monthly for 5 years !!!. This is the formula used to arrive at their number: FV =P{[1 + R]^N - 1/ R} =30,000 x {[1 + 0.0512]^5 - 1 / 0.0512}

FV = $30,000 x {[ 1.283591288862 - 1] / 0.0512}

FV = $30,000 x {0.283591288862 / 0.0512}

FV = $30,000 x             5.5388923606..........

FV = $166,166.77 - the small discrepancy is due to rounding off the interest rate to 2 decimal places.

#50 means plugging into the formula 0.5(n)+1

So 0.5(50) + 1 = 26

THe question asks #(#(#50))

So you do #50 first, giving an answer of 26.

Then you do #26, which is 14

Then you do #14, which the answer is 8.

Nice to know!

69^69 = 7596040312163297274222442578208043236112279041839441308045514203595638030283176823539793587591372230230103933110810192201741429

2^2 = 4

3^3 = 27

4^4 = 64

Is there any pattern? Maybe...

The math portion was easy, I didn't even need a calculator for the calculator portion.

The writing part was decently easy too, I relied on my writing experience and intincts, only a few times did I needed to use grammar rules.

The reading part was medium, I answer almost all questions confidently. There were a few where there seemed to be two correct answers, but after some logic, I was able to pick the one I thought was correct.