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OPPOSITE angles of a cyclic quadrilateral ( a quadrilateral with all vertices on the circumference of a given circle) add to 180 degrees    so A = 180 - 43 = 137 degrees

Thank you!

Absolute  Minimum  =  (-3, -18)

Local Max  =   (-1,2)

So ......  increasing from  (-3, -1)

Local Min  =  (1, - 2)

So......decreasing from  ( -1, 1)

Local Max   = (3,18)

So.....increasing from ( 1, 3)  

You are correct, Juloius.....!!!

-4, 1 and 2 are the x intercepts of the graph

So.....  "D"  is the correct graph

Log N  = 5.6

Exponential  Form:  10^5.6  = N

b = 10

x  = 5.6

n  = N 

antilog  =  398107.17   

Do you want the simplified version or the decimal?

Since this is an exponential growth, I probably means the number of people who started the challenge, B.

This is because as it is growing, the is exponentially growing of the the beginning variable, or the number of people in the beginning. 

Sorry it's a bad explanation but I'm pretty sure the answer is B. 

Do you guys understand my response?

Thanks for your help!

I think I can give it a try!

HAHA

For geometric series, there are many difference formulas to find the sum. 

For infinite geometric series, those that don't have an end, (A₁)/(n-1)

For those that do have an end, S_n = [A₁(1-rⁿ)]/(1-r)

r is the common ratio, A₁ is the first term and n is the nth term. 

To find the nth term: 

A_n = AR^n-1

Here they are anyways:

Finding the n^th term: A_n = A₁ + d * (n - 1)  

S_n = (n/2)*(A₁ + A_n)

d is the common difference, A_n is the n^th term, A₁ is the first term.

What do you mean by formula, the sum? finding the nth term?

Thanks a lot!

Just divide:

$140 / $21 = 6 2/3 - growth in the original amount over a period of 27 years.

[6 2/3]^(1/27*12) =[6 2/3]^(1/324) =1.00587248... - 1 x 1200 =7.05% - compounded monthly - the rate of return on the investment over a period of 27 years.

Just divide:

$165 / $6,000 =0.0275 x 100 =2.75% simple interest for 6 months

2.75% x 2 =5.50% - simple annual interest rate.

Okay, thanks for trying anyway!

Sorry, AC....I saw the first one yesterday....but I don't know what the "2.5" represents....maybe someone else knows....!!!!

However.....all is not lost....!!!!.....here's my answer to the second one  :

https://web2.0calc.com/questions/help-asap-plz#r2

Let the width of Mattress A  = W
The length of Mattress A     = W + 20
The width of Mattress B      = W + 16
W x [W + 20] = [W + 16] x [W + 20] - 1280, solve for W

W^2 + 20 W + 1280 = W^2 + 36 W + 320
W = 60 inches - width of mattress A
60 + 20 = 80 inches - length od Mattress A
60 + 16 = 76 inches - width of Mattress B
60 + 20 = 80 inches - length of Mattress B

Draw  DE  perpendicular to  AB

Then  ADE  forms a right triangle  with  AE  =  (21 -9 ) / 2   = 12/2  =  6

Now....cos angle DAE  = (6/10)  =  3/5

And angle ABC  is supplemental to this...so its cos  =  -3/5

And we can use the Law of Cosines to find AC

AC  =  sqrt  [ AD^2 + DC^2  - 2(AD * DC)cos (ABC) ]

AC  = sqrt [ 10^2  + 9^2 - 2 (10 * 9) (-3/5) ]

AC  = sqrt [ 181  + 108 ]

AC = sqrt [289 ] =    17

√12   =  √[4 * 3]  =  2√3

√25  =  5

√30     can't be simplified further

√100  = 10

√10     can't be simplified further

√14     can't be simplified further

√9  = 3

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