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64= 2 x 2 x 2 x 2 x 2 x 2 =2^6

Bro that is alot

lmao

Thank you!

Thank you very much Melody. I had a hint that it would be close to 10%, which came out just right. Thanks again.

That's a nice problem.....and solution!!!!

Behave yourself  EighthMersennePrime     AND     DO your own homework !!

1 / [3y] = 3      multiply both sides by 3y

1 = 9y            divide both sides by 9

1/9  = y

I purchased a piece of Land for $1,000,000. The seller and I agreed that I would not make any payments for a period of 10 years. We also agreed that after the first 10 years, I would make payments of $300,000 at the end of each year for 20 years. The question I have is this: How much is the purchase of this Land going to cost me over that 30-year period? I have a vague idea what the interest rate would be, but I would like somebody versed in these types of transactions to confirm it. Can anybody take a crack at it?. I would greatly appreciate it. Thanks for any help.

\(V_{10}=1000000*R^{10}\)

PV=1000000*R^10

C=300000

1+i=R

i=R-1

n=20

\(1000000*R^{10}=300000\left [ \frac{1-R^{-20}}{R-1} \right]\\ 10*R^{10}=3\left [ \frac{1-R^{-20}}{R-1} \right]\\ R\approx 1.099\qquad \qquad \qquad \text{From Wolfram|Alpha}\\ i=R-1\\ i\approx 0.099 \quad or \quad i\approx 9.9\%\)

It's actually around .73kg

Pi is used by engineers thousands of times everyday. Every time you build a round or cylindrical building Pi must used. Also, in manufacturing pipes, poles (such as telephone or light ploes), cables, wires....etc. Pi must be used...........etc.

Example: 10% means:10 /100 =1/10. 25% means: 25/100 =1/4........and so on.

 -3x^3+5x+2  =

-(x+1) (3 x^2 - 3x - 2)

\(\sqrt5*\sqrt(15)=\sqrt(75)=5\sqrt3\)

Hey, BJ........good to see you back!!!......WOW!!!.......spending two years as a Senior.......hey....I  almost had to do that, too!!!......but.....not because of my superior academic abilities....LOL!!!!!!!

We tend to have a lot of people coming and going on this site.......there doesn't seem to be as many younger "regulars" as there used to be.....  

We have

1350 = 920(1 + r)^8    divide both sides by 920

(1350/920)  = (1 + r)^8        take both sides to the 1/8th power

(1350/920)^(1/8)  = 1 + r     subtract 1 from both sides

(1350/920)^(1/8) - 1  = r  ≈  .0491   ≈  4.91%

Hi Brittany,

Yes there has been a big turnover,  I guess that is normal on a help site like this but I miss a lot of the earlier people too.

It woud be nice if you stick around.  Your presence here was always greatly appreciated.  :)

Some of the others drop in occassionally - like Roasla does.

Even NinjaDevo popped in for a moment the other day - maybe he was active here before your time?

See you round - I hope :))         

Max is our main bright spark at the moment - he has been reminding me of some LaTex that I had forgotten :)

Thanks for that Max :)

Where's the table?

Trying to calculate the annual growth rate over 8 years with a starting value of 920 and ending value of 1350

FV=PV[1 + R]^N

1350 =920[1 + R]^8  divide both sides by 920

1.4673913=[1+R]^8 take the log of both sides

0.16654594=8 x [1+R] divide both sides by 8

0.0208182425=[1+R]

[1+R]=10^0.0208182425

1+R =1.04910

R = 1.04910 - 1

R=0.04910 x 100 =4.91%

We usually use calculators. But I don't like that way. I want exact values some times.

Example: \(\sqrt{88}\\ = \sqrt{4}\sqrt{22}\text{<}--\boxed{\sqrt{ab}=\sqrt{a}\cdot \sqrt b}\\ = 2\sqrt{22}\)

There I got the exact value of sqrt 88.

\(-42=-{7\over3v} \)

\(3v={7\over42}={1\over6}\)

\(v= {1\over18}\)

9+11 =20

Gonna explain why I have used '10 thousand years' above.

Western numbers units = thousands, millions, billions, trillions, so on.....

Chinese(bc i am chinese) numbers units = 10 thousands, 100 millions, so on.

Btw bye Santos. :D

COOL GOT TO GO TO SCHOOOL

Limits for this equality is:

1) y must be a positive integer.

2) x must be integer or the mod function wouldn't work.

3) If x is less than 0, x need not be larger than y and the equality works.(If you know how to do mod functions with negative numbers. Example: -2 mod 7 = 5)

4) \(\lfloor x\rfloor\) means the nearest integer smaller than x.

COOOL