Factor the gcf
3x(x^2-8x+12)
Then factor the inner trinomial
3x(x-6)(x-2)
Final answer: 3x(x-6)(x-2)
Answer: p= 56
8 = p/7
This means to make p by itself, you have to multiple both sides by 7 to cancel out the 7. On the left side, it’d be 8 times 7, which is 56. On the right side, the 7 cancels out and isolates p.
LCM answers:
1. 28
2. 60
3. 84
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
Answer:
x = 30
Step-by-step explanation:
m<E = [m(arc)AD - m(arc)BC]/2
50 = (130 - x)/2
100 = 130 - x
-x = -30
x = 30
