Step-by-step explanation:
cubing both sides (p+1)^3= (7)^3
=> p^3+1/p^3+ 3(p+1/p) = 343
=> p^3+ 1/p^3 + 3(7)= 343
=> p^3+1/p^3= 343-21
=> p^3+1/p^3= 322
hope it helps
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
The reciprocal of 8 is 1/8
Answer:
-46.91%
Step-by-step explanation:
Given:
Cost of buying the shares = $53,500
Selling cost of the shares = $3,300
Number of years = 2
Since the selling cost is less than the buying cost, therefore the statement for the loss can be verified
Now,
The loss = Selling cost - cost of buying = $3,300 - $53,500 = - $50,200
thus, the loss per year =
= -$25100
Hence,
Rate of return = 
or
Rate of return = 
or
Rate of return = -46.91%
Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.