Answer:
Answer:
(5
3
)
=
10
Explanation:
This is a combination problem - we don't care about the order in which the singers are selected:
C
n
,
k
=
(
n
k
)
=
n
!
(
k
!
)
(
n
−
k
)
! with n
=
population
,
k
=
picks
(
5
3
)
=
10
Step-by-step explanation:
Answer:
$0 < p ≤ $25
Step-by-step explanation:
We know that coach Rivas can spend up to $750 on 30 swimsuits.
This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:
C ≤ $750
Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:
C = 30*p
Then we have the inequality:
30*p ≤ $750.
To find the possible values of p, we just need to isolate p in one side of the inequality.
So we can divide both sides by 30 to get:
(30*p)/30 ≤ $750/30
p ≤ $25
And we also should add the restriction:
$0 < p ≤ $25
Because a swimsuit can not cost 0 dollars or less than that.
Then the inequality that represents the possible values of p is:
$0 < p ≤ $25
Answer:
B
Step-by-step explanation:
The amount after 3 years would be $221.74
<u>Explanation:</u>
Given:
Principal, P = $200
Rate of interest, r = 3.5%
Time, t = 3 years
Amount, A = ?
We know:

Substituting the value we get:

Therefore, the amount after 3 years would be $221.74