950 * .05 = $47.5
550 * .04 = $22
$47.5 + $22 = $69.50 interest earned
answer: amount in 4% account = $550
Answer: a) 1977060966, b) 146581344.
Step-by-step explanation:
Since we have given that
There are 10 numbers,
There are 26 lower case letters,
There are 26 upper case letters,
Since the first 3 characters have to be digits and next 6 can be upper or lower.
So, a) repetitions are allowed:
![10^3\times (26+26)^6\\\\=10^3\times 52^6\\\\=1977060966](https://tex.z-dn.net/?f=10%5E3%5Ctimes%20%2826%2B26%29%5E6%5C%5C%5C%5C%3D10%5E3%5Ctimes%2052%5E6%5C%5C%5C%5C%3D1977060966)
b) repetitions are not allowed:
![^{10}P_3\times ^{52}C_6\\\\=720\times 20358520\\\\=146581344](https://tex.z-dn.net/?f=%5E%7B10%7DP_3%5Ctimes%20%5E%7B52%7DC_6%5C%5C%5C%5C%3D720%5Ctimes%2020358520%5C%5C%5C%5C%3D146581344)
Hence, a) 1977060966, b) 146581344.
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-5+4=-1
-1/2=-1/2
For the y value, you add the y values and divide by 2.
5+6=11
11/2=5 1/2
So, the midpoint is (-1/2, 5 1/2).
Have a wonderful day! :D
F you just want to see the really short way, just skip down to AAAAAAAAAAAA
so, here is the long explanation
exponential properties
![x^{-m}= \frac{1}{x^m}](https://tex.z-dn.net/?f=x%5E%7B-m%7D%3D%20%5Cfrac%7B1%7D%7Bx%5Em%7D%20)
don't forget pemdas
2x^2=2(x^2)
so
![\frac{2x^{-4}}{3xy}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%5E%7B-4%7D%7D%7B3xy%7D%20)
=
![\frac{2 \frac{1}{x^4} }{3xy}= \frac{2}{3x^5y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Cfrac%7B1%7D%7Bx%5E4%7D%20%7D%7B3xy%7D%3D%20%20%5Cfrac%7B2%7D%7B3x%5E5y%7D%20%20%20)
AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is
![\frac{2x^{-4}}{3xy}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%5E%7B-4%7D%7D%7B3xy%7D%20)
remember
![\frac{ab}{cd} =( \frac{a}{c})( \frac{b}{d})](https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Bcd%7D%20%3D%28%20%5Cfrac%7Ba%7D%7Bc%7D%29%28%20%5Cfrac%7Bb%7D%7Bd%7D%29%20%20)
so we can seperate the constants
![\frac{ab}{cd} =( \frac{2}{3})( \frac{x^{-4}}{xy})](https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Bcd%7D%20%3D%28%20%5Cfrac%7B2%7D%7B3%7D%29%28%20%5Cfrac%7Bx%5E%7B-4%7D%7D%7Bxy%7D%29%20%20)
we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not
terfor the answer must have 2/3 in it
the only one that hsa that is A
ANSWER IS A
1/4 , 1/2 , 2/3 , 5/6
I hope I helped you with your question