The answer is false
if you solve both sides it says that 627.25 is less than 3.714 which isn't correct because 627.25 is obviously greater than 3.714
The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
Happy to help :)
after 1 yr- 3905.25 km2
2 yrs- approx. 3719.75 km2
3 yrs- approx. 3543.06 km2
4 yrs- approx. 3374.77 km2
5 yrs- approx. 3214.47 km2
The full decimal for the 5 yr mark is 3214.46557 km2 (not sure if you needed it)
To solve you would convert 4.75% into .0475 as a decimal, then subtract that from 1 (which acts as 100%) and you get .9525, then just multiply that by 4100 and each number that results from that ;)
X amount over 41.67 is 60/100
x = 60
---- ------
41.67 100
100x = 2500.20
------ --------
100 100
x=25
plug in to check
25/41.67 = 60/100
0.6 = 0.6
The correct answer is : 9 tricks
why: 25 x .36