Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
with y equaling the total and x equaling the number if months
Answer:
After the discount, the customer will pay only 91.4% of the initial price.
Step-by-step explanation:
We have that the price of the current retailer, in dollars, is:
3.50
After the discount, the new price, in dollars, is:
3.20
We want to know what percentage of the original price is the final price.
To find out, we must divide the final price between the initial price and then multiply the result by 100%
So:
*100% = 0.914. * 100% = 91.4%
After the discount, the customer will pay only 91.4% of the initial price.
The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price