Answer:
The correct answer is £449.20 rounded upto 2 DP.
Step-by-step explanation:
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
The amount reduced by the insurance company is 3.6% of 465.98 = £16.77528.
Price the insurance company charges now is given by subtracting the previous cost with the reduction amount.
Thus the insurance cost now = £ (465.98 - 16.77528) = £449.20472 ≈ £449.20.
Thus the reduced insurance cost Brian has to pay now is £449.20 rounded to 2DP.
Volume equals width times height times length
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
