Answer:
C-2
Step-by-step explanation:
She is incorrect, her statement comes with no solution.
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Using the shortcut for binomial expansion, which still took 45 minutes, I got 23-26. The coefficient on the x^6 term is 34,020; the coefficient on the x^4 term is -495; on the x^7 term it's 1800; on the x^3 term it's 337,920. I'm pooped. The rest is factorial notation, kinda the same thing, but...
Answer:
Interest: $390 | Total: $715
Step-by-step explanation:
To answer the first question, we can use the simple interest formula provided:
![I=Prt](https://tex.z-dn.net/?f=I%3DPrt)
<em>P = initial balance</em>
<em>r = annual interest rate</em>
<em>t = time</em>
<em />
First, change 8% into the decimal form:
8% ->
-> 0.08
Now, plug in the values:
![I=325(0.08)(15)](https://tex.z-dn.net/?f=I%3D325%280.08%29%2815%29)
![I=390](https://tex.z-dn.net/?f=I%3D390)
Charlie made $390 of interest. To find the total, just add that number to $325.
![390+325=715](https://tex.z-dn.net/?f=390%2B325%3D715)
Charlie's total money made was $715.