On the 1st jan 2012 beth invested some money into a bank account.the account pays 2.5% interest per year.on the 1st jan 2013 she withdraws £1000.on the 1st jan 2014 she had £17,466 in the account.how much money did beth originally invest into the account. show your method.

On the 1st Jan 2012 Beth invested some money into a bank account.The account pays 2.5% interest per year.On the 1st Jan 2013 she withdraws £1000.

Step-by-step explanation:

13 she withdraws £1000.On the 1st Jan 2014 she had £17,466 in the account.How much money did Beth originally invest into the account.Please show your method.

(a) Each piece is “berry or cherry” with probability p = 1/2. The proba-

bility of only berry or cherry pieces is p

12 = 1/4096.

Step-by-step explanation:

(b) Each piece is “not cherry” with probability 3/4. The probability all 12

pieces are “not pink” is (3/4)12 = 0.0317.

(c) For i = 1, 2, . . . , 6, let Ci denote the event that all 12 pieces are flavor i.

Since each piece is flavor i with probability 1/4, P[Ci

] = (1/4)12. Since

Ci and Cj are mutually exclusive,

P[F1] = P[C1 ∪ C2 ∪ · · · ∪ C4] = X

4

i=1

P[Ci

] = 4 P[C1] = (1/4)11

.