Without the instructions, I can only assume that you are to "expand the given expression."
Following order of operations rules requires that (3x-2)^2 and -6(2x-1.5) be evaluated first.
(3x-2)^2 = 9x^2 - 12x + 4 and -6(2x-1.5) = -12x + 9
Then we have 9x^2 - (9x^2 - 12x + 4) -12x + 9
the 9x^2 terms cancel, leaving us with 12x - 4 - 12x + 9 = 5 (answer)
Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Your money grows faster because the interest is added back into the principle and then the next time it compounds you get interest on the new principle amount. So for example, you deposit $100 in an account that gets 5% interest compounded semiannually. The first time it compounds you get $5 added to your account so your new balance is $105. The next time it compounds you get 5% on $105 so you get $5.25 added and so on. If this is only happening semi-annually that would be all you get for the year. But if it happens quarterly you would get would get deposits of $5.51 and $5.79 as well. If it compounds monthly or even daily your money would grow more and more. Hope this helps.
Answer:
Step-by-step explanation:
The area of a sector in terms of radians as opposed to degrees is
Filling in the formula accordingly gives us
The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with
A = 1.75(2) so
A = 3.5 units squared
Answer:
X-Large
Step-by-step explanation:
