Set both angles equal to each other because they are vertical angles.
3x-3 = 2x + 13
3x-2x=13+3
1x =16
x=16
Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
Answer:
4 > x
Step-by-step explanation:
-1/3 (6x-15) +6x> 8x-11
Distribute the -1/3
-2x +5 +6x > 8x-11
Combine like terms
4x+5 > 8x-11
Subtract 4x from each side
4x-4x+5 > 8x-4x-11
5> 4x-11
Add 11 to each side
5+11 > 4x-11+11
16 >4x
Divide by 4
16/4 >4x/4
4 > x
3pi+8(t-pi)-4t
=3pi+8t-8pi-4t
=-5pi+4t
X=12
36 + 12 = 48
48/4 = 12