Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
Answer:
hello ! you multiply $36,500 by 7% and you get $25,550. add this amount to the original amount and you get $62,050.
Answer/Step-by-step explanation:
Given:
C = right angle = 90°
BC = a = ?
AB = c = 12
AC = b = 9
Required:
a, <A, and <B
Solution:
✔️Find a using Pythagorean Theorem:
a = √(c² - b²)
a = √12² - 9²) = √63
a = 7.93725393 = 8 (nearest whole number)
✔️Find A by applying trigonometric ratio:
Thus,
Reference angle = A
Hypotenuse = 12
Adjacent = 9
Therefore,
m<A = 41° (nearest whole number)
✔️Find B:
m<B = 180 - (90 + 41) (sum of interior angles of triangle)
m<B = 49°
I believe it would be 5:00 pm, because 12 hours after 4:00 am is 4:00 pm, plus one hour is 5:00pm.
Jim started out with 3,067.48 in his checking and ended with 1,845.24 after paying for airplane tickets. To figure out how much money he spent on the tickets, you will need to first subtract the ending amount of 1,845.24 from 3,067.48 and then divide the sum to get the amount spent on each ticket.
3,067.48 - 1,845.24 = 1,222.24
1,222.24\2= 611.12
In the end Jim spent 1,222.24 in total on tickets. He spent around 611.12 on each ticket.
Hope this helps!
