Answer:
$399.98
Step-by-step explanation:
Given
Mark down percent = 60%
Mark down price = $239.99
Required
Original price of the rack
Let x be the original price of the product. The equation to get x is as expressed below;
60% of x = 239.99
0.6x = 239.99
x = 239.99/0.6
x = 399.98
Hence the rack will ring up for $399.98 at the register
Get a common denominator which you can get by mutiplying by k-1
![\frac{(k + 5)(k - 1)}{(k + 1)(k - 1)} + \frac{8}{ {k}^{2} - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28k%20%2B%205%29%28k%20-%201%29%7D%7B%28k%20%2B%201%29%28k%20-%201%29%7D%20%2B%20%5Cfrac%7B8%7D%7B%20%7Bk%7D%5E%7B2%7D%20-%201%7D%20)
Now foil and distribute
![\frac{ {k}^{2} + 4k - 5}{ {k}^{2} - 1} + \frac{8}{ {k}^{2} - 1 }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bk%7D%5E%7B2%7D%20%2B%204k%20-%205%7D%7B%20%7Bk%7D%5E%7B2%7D%20-%201%7D%20%2B%20%5Cfrac%7B8%7D%7B%20%7Bk%7D%5E%7B2%7D%20-%201%20%7D%20)
Now combine the fractions and like terms
![\frac{ {k}^{2} + 4k - 5 + 8}{ {k}^{2} - 1 } = \frac{ {k}^{2} + 4k + 3}{ {k}^{2} - 1 }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bk%7D%5E%7B2%7D%20%2B%204k%20-%205%20%2B%208%7D%7B%20%7Bk%7D%5E%7B2%7D%20-%201%20%7D%20%3D%20%5Cfrac%7B%20%7Bk%7D%5E%7B2%7D%20%2B%204k%20%2B%203%7D%7B%20%7Bk%7D%5E%7B2%7D%20-%201%20%7D%20)
Now factor out a k+1
![\frac{(k + 1)(k + 3)}{(k + 1)(k - 1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28k%20%2B%201%29%28k%20%2B%203%29%7D%7B%28k%20%2B%201%29%28k%20-%201%29%7D%20)
you can cancel out the k+1 leaving
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
Since you're multiplying 24 by itself 5 times, it would be