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arlik [135]
3 years ago
6

HELP ASAP!! ILL MARK YOU BRAINLIEST IF CORRECT :)

Mathematics
2 answers:
mel-nik [20]3 years ago
5 0

Answer:

Let's say:

AM = current amount of money = 3000

APR = interest rate  = 2.25

n = number of compounding periods

t = 5 years

Final amount of money:

FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)

Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03

Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16

Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86

Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22

=>Continuous Compounding gives largest benefit.

=> Option C is correct

Hope this helps!

:)

Snowcat [4.5K]3 years ago
3 0

Answer:

compounded quaterly

Step-by-step explanation:

hope this helps

plzz mark me brainliest

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Answer:

0.1111

Step-by-step explanation:

From the given information;

Number of staffs in the actuary = 80

Out of the 80, 10 are students.

i.e.

P(student actuary) = 10/80 = 0.125

number of weeks in a year = 52

off time per year = 10/52 = 0.1923

P(at work || student actuary) = (50 -10/52)

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P(non student actuary) = (80 -10)/80

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For a non-student, they are only eligible to 4 weeks off in a year

i.e.

P(at work | non student) = (52-4)/52

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∴

P(at work) = P(student actuary) × P(at work || student actuary) + P(non student actuary) × P(at work || non studnet actuary)

P(at work) =  (0.125 × 0.8077) + ( 0.875 × 0.9231)

P(at work) = 0.1009625 + 0.8077125

P(at work) = 0.90868

Finally, the P(he is a student) = (P(student actuary) × P(at work || student actuary) ) ÷ P(at work)

P(he is a student) = (0.125 × 0.8077) ÷ 0.90868

P(he is a student) = 0.1009625 ÷ 0.90868

P(he is a student) = 0.1111

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