CPhill

1. 8 + (9t + 4)    =  8 + 4 + 9t =   12 + 9t

2. 9(2x)    =  18x

3. (4 + 105x) + 5     =     4 + 5 + 105x  =  9 + 105x

4. (10p)11    =     110p

5. (12 * r) * 13    =   13 * 12 * r =  156r

6. (2 + 3x) + 9   = 2 + 9 + 3x  =  11 + 3x

7. 4 * (x * 6.3)  =  4 * 6.3 * x =   25.2x

8. 1.1 + (7d + 0.1)   =   1.1 + 0.1 + 7d =   1.2 + 7d

9. 56ab/b  =  56a

10. 1.5mn/m    =  1.5n

11. 13p/pq    =  13/q

12. 33xy/3x  =  11y

7 = 5/x      multiply both sides by x

7x = 5      divide both sides by 7

x = 5 / 7

The common difference is -0.25

 2(x + 4) + 7(x – 5) + 3  =

2x + 8 + 7x - 35 + 3  =

9x - 24

Considering the first offer, you would end up with :

1 + 2 [ 1 - 2^29] [ 1 - 2]  = 1073741823  cents =   $10,737,418.23

Which is way more than $1 million.....!!!!!!

By Descartes Rule of Signs....since f(x) has  two sign changes, ..this polynomial either has 2 positive real roots, or no positive real roots

Look at the graph, here : https://www.desmos.com/calculator/coquksvvjl

Note that the graph never crosses the x axis at any point. Thus......there are no positive [ or negative] real roots....!!!!!

Here's an explanation of Descartes Rule of Signs......http://www.purplemath.com/modules/drofsign.htm

24/12 + 760*6 = 

2 + 4560 =

4562

sqrt (3)  - sqrt(2) ≈ 0.3178

We  can figure this out thusly :

Let the first term = 3..... and let the common difference between terms = 4

So....the 100th term is :

3 + 4*99  =  

399

Let N be the amount he deposited (in dollars).......then we have

-26 + N  = 23      add 26 to both sides

N = 49