Answer:
x=4
Step-by-step explanation:
4x-6 + 2x = 18
Combine like terms
6x -6 = 18
Add 6 to each side
6x-6+6 =18+6
6x = 24
Divide each side by 6
6x/6 = 24/6
x =4
If 165 cm is 10% taller, then the equation we can use to find the original age is:
x×1.1=165
This means that to solve for x, we just need to divide by 1.1 on both sides of the equation:
x=150
Therefore, Cody was 150 cm tall last year
<span>The annual return on $400 in stock is 0.11*400 = $44
</span>
The total return you want is 0.09 * 1600 = $144
Let a be the amount invested at 12% and b be the amount invested at 6%
0.12a + 0.06b = 144 - 44
12a + 6b = 10000
a + b = 1200
Put those 2 equations together and solve for a and b:
12a + 6b = 10000
a + b = 1200
Using elimination, a = $466.67 and b = $733.33
<span>So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%</span>
Answer:
125
Step-by-step explanation: