Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?

Answer is in the file below

cutt.ly/tz3yDpb

1) 1320   2)278256  3)330  4) 455 5)56   6)336  7) 990  8) 2730

Step-by-step explanation:

Solution:

1) Democrats = 15,  Republicans = 11,  Independents= 8

Total = 15+ 11+ 8 =34

Number of 3 persons committee = 15nCr 1 * 11nCr1 * 8nCr1

nCr =combination

Number of 3 persons committee that can be made by choosing any republican or democrat or independent = 15 * 11* 8 =1320

2)Total number of possible 5 person subcommittes from any 34 people = 34nCr5 = 34!/(29! * 5!)

=278256

3) Number of ways republicans choose subcomittee of 4 members = 11nCr4

= 11!/(7! * 4!)=330 ways

4) Number of ways democrats choose subcomittee of 3 members = 15nCr3

= 15!/ (12! *3!)=455 ways

5) Number of waysindependents choose subcomittee of 3 members = 8nCr3

= 8!/(5! * 3!)= 56 ways

6) Number of ways independents choose chairperson, vice chairperson and secretary:

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 8nCr1 * 7nCr1 * 6nCr1

=336 ways

7) Number of ways republicans can choose chairperson, vice chairperson and secretary

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 11nCr1 * 10nCr1 * 9nCr1

= 990ways

8) Number of ways Democrats can choose chairperson, vice chairperson and secretary

As one picks each post the number of person decreases

= (Chairperson)* (vice chairperson) * (secretary) = 15nCr1 * 14nCr1 * 13nCr1

= 2730 ways