ElectricPavlov

https://web2.0calc.com/questions/the-denominator-of-a-fraction-is-3-more-than-its-numerator

Starting at t= 0.5 it takes until 1.5 to get back to its resting position (1/2 of a cycle) =  1 sec

Yep, thanx !...I overlooked that....will edit.... 

Hey Chris.....why would this NOT be  5 P 3 = 60

  which would include the outcomes quoted in the question?

Plan1    Luke essentially borrows two 5000 loans....one he pays back in 5 years and the other accumulates interest for 10 years before he pays it back.

5000 (1.025)^20 = 8193.08   is Luke's first payment...this is also the value of his second 5000 loan at this time.........

                               8193.08 (1.025)^20 = 13425.32    = Luke's second payment to pay off his entire balalnce   

      Total payments  8193.08 + 13425.32 = $ 21618.40

Plan 2 Luke borrows 10000 and pays off entirely at end of 10 years

             10000(1.1)^10 = $ 25937.42

Plan 2 will cost him    25937.42 - 21618.4 =~~ $ 4319.00 more than plan 1 (rounded)

(THANX gues for noticing my error on interest in plan2 !)

The equivalent annual growth rate would be  

   wait a minute....this makes me a bit confused:     $100,000 is invested at 4.5% twice a year compounded semi-annually(

 (I think this means you get 4.5% added to your investment  each 6 months....yah? I think this would be the same as 9% compounded semi)

Assuming you have the correct equation, at the end of ONE year

A = 100000(1.045)^2 = 109202.5        which is 9.2% growth  per year

At 15 years      A = 100000(1.045)^2(15)    = $374531.81 ~$ 374,532

Let's see what I can find  ( I WAS an electrical engineer in undergrad MANY years ago......have not seen it since then)

Her it goes  (I had to look up all of this)

:

f=frequency = 10/pi

V= 10

XL = Inductive reactance  = 2 pi f L  = 2 pi  10/pi 4   =80 ohms         (L=.4)

XC = Capacitive reactance  1/(2pi f C)   = 1/( 2 pi 10/pi  1/2200) = 110 ohms

R= 120 ohms

Z= impedance = sqrt ( R^2 + (XL-XC)^2 )   = sqrt (14400 + (80-110)^2 )   = sqrt (14400 + 900) = 123.693 ohms

I = V/Z    =  10/123.693 = 81 milliamps

I could be WAAAAAAY off base here....Rom would be the best to answer this for sure

12 P 5 = 95040  combos

12 x 11 x 10 x 9 x 8 = 95040 combos

I think I posted an answer to this question yesterday....and it is   1/2   NOT 12 that is added to the fraction:

See it here:

https://web2.0calc.com/questions/trig_86

Is 4 the only thing you consider a square number?          Or is six kinda square?    Or is '1' a square (1^2 = 1...so one is a square)...

   need clarification   .....do you think 5 is a square on the die?