Answer:
$13,304
-We use the compound interest function to determine the rate of growth.
-Given that the amount doubles in 13 years, the annual growth rate is calculated as:
We now substitute this value of i in the compound interest formula equation to solve for future value:
Hence, the future value to the nearest dollar is $13,304
*You can alternatively use the exponential growth function:
This is slightly off by just $1
Step-by-step explanation:
Answer:
(f o g)(x) = 4x^2 - 8
Step-by-step explanation:
(f o g)(x) = f(g(x))
f(x) = x^2 - 8
g(x) = 2x
f(g(x))
f(2x) = (2x)^2 - 8
= 4x^2 - 8
(f o g)(x) = 4x^2 - 8
1 in 38.
Nothing much to say about this problem. There are 38 spaces on the roulette wheel and an every space on a fair wheel has an equal probability of being selected. So you would expect 1/38 = 0.026315789 = 2.6315789% of the time for the number 21 to show up.
Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D2%5C%5C%20b%3D4%5C%5C%20h%3D2%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B2%282%2B4%29%7D%7B2%7D%5Cimplies%20A%3D6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwice%20that%20much%7D%7D%7B2A%20%3D%2012%7D%20%5Cend%7Barray%7D)
It's 5. Just took this test and got this question right :)