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There is one word missing (in the brackets)

I think it is meant to be  8+2=10   ?

You can answer some questions for me:

1) If there was no extra chimes on the hour, how many chimes are there for every hour?

2) How many chimes in 24 hours (without the extra ones) ?

3) If there is one extra at 1 oclock and 2 extra at 2 oclock ...... up to 12 extra at 12oclok. How many extra is that in 12 hours?

4) How many extra is that in 24 hours.?

5) So how many times did the chime strick in 24 hours?

Please no ne except Evan answer    (unless you see an error in my logic)

Evan, please answer the questions one at a time so I can follow your logic.

Thank you Melody, asdf335, and Chris!! 

First night =   455

Last night = 455 + 9(16)  = 599

Sum =

[ first night + last night ] * number of nights / 2  =

[ 455 + 599 ] * 10  / 2  =

1054 * 5 =

5270

Area of innermost red area  =   pi (2/2)^2  =  pi  units^2

Area of next red area  =  pi [ (6/2)^2 - (4/2)^2 ]  =  pi [ 3^2 -  2^2 ]  = 5 pi  units^2

Area of last red area =  pi [ (10/2)^2 - (8/2)^2 ]  =  pi [ 5^2 - 4^ 2 ]  = 9pi units^2

So....the total of the red areas =  

pi [ 1 + 5 + 9 ]  =

15 pi units^2

First term  =  4(1) + 1  = 5

Last  term  =  4(32) + 1  =   129

Sum  =

[ first term + last term ] * ( number of terms)  / 2  =

[ 5 + 129 ] ( 32 )  / 2  =

[134 ]  * 16  = 

2144  

The sum is

S  =   200 [  1 - (1.05)^8 ] / [ 1 - 1.05 ]   = $1909.82

( f + g) (2)   =  f(2) + g(2) =

[ 3*8^(2) ]  + [ 2*8^(2) + 1 ]   = [ 3 * 64 ] + [ 128 + 1 ]   =  [ 192 +  128 + 1 ] = 321

(f - g)  (3)  =  f(3) - g(3) =

[ 3*8^3 ]   - [ 2*8^3 + 1 ]  =  8^3 - 1  =    511

Rearrange the second equation as y = 4 - x.  Substitute this into the first equation:

4 - x = x² - 3x + 4

This simplifies to. x² - 2x = 0

This factors as. x(x - 2) = 0, so x = 0 or x = 2

Substitute these back into y = 4 - x to find the corresponding values of y.

Angle SUR  = Angle EUP      [ vertical angles ]

EU / PU   =  SU  / RU    ???

6 / 8  =  15 /20  

3 / 4  =  3 /4   true

So

triangle SUR ~  triangle EUP    by SAS

HT/ER = HA/EA, so HT = ER*HA/EA or HT = ER*(HE + EA)/EA 

I’ll leave you to fill in the numbers.

Omg lol my science teacher told that proton joke in class last friday.