-- The area of the long skinny piece on top is (6 x 33) = 198
-- The length of the dotted line between the top and bottom pieces is (33-21) = 12
-- The area of the bottom piece is (12 x 15) = 180
-- The area of the whole thing is (198 + 180) = 378
-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108
Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55
We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;
