Give formulae for half yearly calculation of compound intrest formula.

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

The formula for compound interest, compounded once per year, is:

A = P(1+r)^t, where r is the annual interest rate as a decimal fraction and t is the number of years.

If interest is compounded twice per year, then the above formula is changed to:

A = P(1+r/2)^(2t), where the '2' indicates twice-per-year compounding.

If interest is compounded n times per year, then the above formula is changed to:

A = P(1+r/n)^(nt).

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Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

$P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798$