? is there any more context to the question?
Answer:
If using simple interest, the formula is:
= Amount * ( 1 + rate * time)
= 20,000 * ( 1 + 4% * 5)
= $24,000
Interest = Balance after 5 years - Investment
= 24,000 - 20,000
= $4,000
Using Compound Interest:
= Amount * ( 1 + rate)^time
= 20,000 * ( 1 + 4%)⁵
= $24,333.06
Interest = 24,333.06 - 20,000
= $4,333.06
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
Step-by-step explanation:
solution:- from LHS 1-cos²x/sinx
∵ 1-cos²x = sin²x
∴ sin²x /sinx = sinx
from RHS tanx × cosx
∵tanx = sinx×cosx
∴ sinx/ cosx × cosx = sinx
Since, LHS = RHS proved ___
It is increase, because 15 is less than 18. Other way around, if the question is 18 to 15 yards, then that would be decrease, because it is getting smaller.