Answer:
$30,000
Step-by-step explanation:
The capital value is given by

where R(t) is annual rate
r - annual rate of interest
capital value 
= lim at b tend to infinity
=lim at b tend to infinity ![\left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b](https://tex.z-dn.net/?f=%20%5Cleft%20%5B%20%5Cfrac%7B1200%7D%7B-0.04%7D%20e%5E%7B-0.04%20t%7D%20%5Cright%20%5D_0%5Eb)
-30,000 { lim at b tend to inifinity![(e^{-0.04 b) = e^0]](https://tex.z-dn.net/?f=%20%28e%5E%7B-0.04%20b%29%20%3D%20e%5E0%5D)
As

Answer:
y = -2(x + 3)² + 2
y = 2{ -(x + 3)²+ 1}
y = 2{ -(x² + 6x + 9) + 1}
y = 2{ -x² - 6x - 9 + 1}
y = 2{ -x² - 6x - 8 }
<u>y = -2 { x² + 6x + 8}</u>
OR
<u>y = -2{(x + 4)(x + 2)}</u>
Probability is all about multiplying fractions.
The first fraction is the probability of picking a girl.. so how many of the 12 total children are girls. (8/12)
The second fraction is the probability of picking a boy.. so how many of the 11 remaining children are boys. (4/11)
8/12 X 4/11 = 8/33 -> this isn't even an option but I'm like 10000% this is the right answer..
I started off this answer feeling so confident lol. good luck.
Answer:
1) negative Slope: ( -4, 3 )
2) ( 0, -5 )
3) y= -4/3x - 5
Step-by-step explanation:
A common denominator is when the denominators (bottom number) of two fractions are the same. Fractions must have a common denominator to be added or subtracted.
A common multiple is when two numbers can be multiplying to the same number. Ex) A common multiple of 3 & 4 is 12
A common multiple of 6 & 2 is 18
You would need to know the common multiples of numbers in order to make fractions have a common denominator.