Riley Schmidt
04/07/2024 · Junior High School

1. You are now 21. You want to have BDT 100,000 at your \( 25^{\text {th }} \). How much you need to deposit today at a bank if the bank provides you \( 10 \% \) interest rate - a. Quarterly b. Bi-monthly c. Which policy should you chose? 2. Beximco has taken loan from DBBL for BDT 2 million. The loan period is 10 years. What should be the periodic instalment if the bank charges \( 12 \% \) interest rate - a. Monthly b. Bi-weekly c. Which one is less costly? 3. Find out the value of X. b. Which term is the value of X? c. Find out the summation of the series. 4. In a class, there are 100 students. 60 students are member of the Art Club, 50 students are \( -\ldots . .-1536 \) member of the Drama Club. If the probability that a randomly selected student is a member of the Drama Club, given that she is a member of the Art Club equals to \( 1 / 2 \). What is the number of students who are the member of both Art and Drama Clubs?

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1. For the first question, the amount to deposit today for quarterly compounding is approximately BDT 36,842.86, and for bi-monthly compounding is approximately BDT 36,688.89. The quarterly compounding is the better choice due to the higher interest rate. 2. For the second question, the monthly installment is approximately BDT 34,736.36, and the bi-weekly installment is approximately BDT 15,936.36. The bi-weekly compounding results in a lower periodic installment, making it the less costly option. 3. The value of X, the term, and the summation cannot be determined without the specific equation or series provided. 4. The number of students who are members of both the Art and Drama Clubs cannot be determined without additional information.

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