All Answers 358153 Answers

Of gained interest not paid interest. 

Wow, rosala....those pics and other info  are AMAZING !!!.....I'm going to sit here on this nice cool morning and ponder some of the info you have sent !!!

I wish you luck in your studies....if I had to do all of that now - at my "advanced" age - I think my brain would fall out of my head!!!  [ I 'd probably just sit next to you on test day and "peek" over at YOUR paper from time to time !!!  (LOL!!!) ]

I'll give you a whole garden of flowers for your nice presentation....!!!!

(BTW.......that's a picture from Butchart Gardens on Vancouver Island in Canada.....I visited there some years ago.....it's just as spectacular as the picture indicates !!!...it looks just like something that Dorothy would have seen when her house landed in Oz...)

Hi Chris,

The money is compounded quarterly.  I have assumed that is is also paid quarterly.  That is what my calculations are based on.  So the exact answer is 3 and a half years. It is not true until that final quarter payment is made.  (It should be a step graph)

Of course if the payments are made daily you are completely correct.    

That last inequality that Melody had to deal with IS tricky......here's a graph of the solution using Desmos:

There are many different types of indices for all answers visit mathsonline.com!

@@ End of Day Wrap:      Sat 13/9/14        Sydney, Australia      Time 8:35pm           ♬

He everyone,

Our wonderful answerers for the last couple of days have been Alan, TakahiroMaeda, Rosala, HaleyWoodall17, FreemanRufus, DargonSlayer554, CPhill, PumpkinGuy, NinjaDevo, Buddy2Bad, Kitty<3 and Herurka. Thanks 

I have not looked at the posts or answers all that well although I think all the answerers have been given credit for their answers. This means that I am less likely to notice any really good ones.  Sorry about that.  Anyway here are a couple of interest ones.

1) Reinout-g's lunchbox unwraps have returned.  Good, I like this one  

Sunday 13/9/14

1) Break even point  (Thanks Chris)

To find the x intercept you let y=0 and find out what x will be and 

To find the y intercept you let x=0 and find out what y will be 

It is all too much for me I am sorry Reinout 

Thje first one is bigger than 2 followed by 40 zeros so it is much bigger than 1000

2.5=2z

z=2.5/2=1.25

I really like that door rosala.  

When i win lotto and move into a mansion, I am going to have a door like that one.  

I rarely would equal that.

That is simple interest.  

oh and it is not 10.5  it is 10.5% = 0.105

I think the teacher want you to make C  the subject.  

It is actually 101/2 = 50.5

Or the average of 50 and 51 which is still 50.5

But yes google would have been much quicker for you.

Yes I like CPhill's answer too.   

Set N = 4N₀.

4 = e^0.017t

Take logs of both sides (use natural logs)

ln(4) = 0.017*t

Divide both sides by 0.017

t = ln(4)/0.017

$${\mathtt{t}} = {\frac{{ln}{\left({\mathtt{4}}\right)}}{{\mathtt{0.017}}}} \Rightarrow {\mathtt{t}} = {\mathtt{81.546\: \!727\: \!124\: \!699\: \!448\: \!2}}$$

t = 82 days to the nearest day

I'll look at the annuity first.  It is just the future value of an ordinary annuity.

$$\boxed{FV=R\times \right[\frac{(1+i)^n-1}{i}}\\\\
i=0.05/4=0.0125\\
i+1=1.0125\\
R=$556.19\\\\
FV=556.19\times \right[\frac{(1.0125)^n-1}{0.0125}$$

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Now I will look at the simple interest scenario.

interest = 1% per quarter

$$\\\boxed{FV=P(1+rt)} \qquad \mbox{In this interest t is number of quarters=n}\\\\
FV=7400(1+0.01n)\\$$

So we need to find the smallest n where

$$\\556.19\times \right[\frac{(1.0125)^n-1}{0.0125}\;>\; 7400(1+0.01n)\\\\
(1.0125)^n-1\;>\; \frac{0.0125\times 7400(1+0.01n)}{556.19}\\\\
(1.0125)^n-1\;>\; 0.16633998(1+0.01n)\\\\
(1.0125)^n-1\;>\; 0.16633998+ 0.0016633998\;n\\\\
(1.0125)^n-0.0016633998\;n\;>\; 1.16633998 \\\\$$

Now this looks pretty horrible so I just solved it by trial and error.

When n=10  LHS=1.11     So n is bigger than 10

When n=20  LHS=1.248    So n can be smaller than 20

When n=15 LHS=1.179     n can be smaller but its getting close

When n=13 LHS=1.154    So n must be bigger than 13

When n=14  LHS = 1.1666   this satisfies the condition.

So the smallest value of n that satisfies this condition is n=14

14/4=3.5years

the annuity will be bigger than the simple interest scenario in 3.5 years time.     

y^16

that is the answer

There are 12 different cards in the bag.  You could choose any of them.

Is your question complete?

Try hitting 'enter'on your keyboard instead.

It should work either way.

Maybe this will help.

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Debería funcionar de cualquier manera.

Tal vez esto ayudará.

http://web2.0calc.com/questions/how-do-i-type-in-fractions