Answer: 4004ways
Step-by-step explanation:
Total number of Students =15
Total number of students to be on the committee =5
Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.
Hence to select 5 people from 14 people, we use the combination formula 14C5.
From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.
Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:
= 14C5 * 2C1
= 2002 * 2
= 4004ways.
Answer:
$1077.283
Step-by-step explanation:
When complete the first year the amount will be:
1000 * 1.015= 1015
1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015
When complete the second year the amount will be the last year amount adding the rate interest:
1015*1.015=1030.225.
To the third year:
1030.225*1.015=1045.678
To the fourth year:
1045.678*1.015=1061.363
To the fifth year:
1061.363*1.015=1077.283
Answer:
A is your answer
Step-by-step explanation:
C. The Triangle Inequality Theorem States that any two sides of a triangle must be greater than the third side. It cannot be A because 35+40= 75, which is not greater than 75. It cannot be B because 40+30= 70, which is not greater than 75. It cannot be D because 35+40= 75, which is not greater than 80. It is C because 40+30= 70, which is greater than 65.
