So for this you will be using an exponential equation, which is
with a=initial value, b=growth/decay, y = total balance, and x = # of years
In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: 
With this problem, just plug in 15 into x and solve for y: 
In short, after 15 years Tom will have $1198.28 in his account.
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
How old is Tracy? Seriously it just says 6 the only number and who is younger than Tracy?!
Your subtracting 3x from 5x: 5x-3x
This is so you only have a variable on one side