Business Mathematics Midterm Spring 2026 Question Paper

Daffodil International University Faculty of Business & Entrepreneurship Department of Business Administration Program: BBA Semester: Summer-2025 Examination: Mid-term Time: 1 Hour and 30 Minutes Full Marks: 25 Course Code: 0541-122 Course Title: Business Mathematics Section: All Teachers’ Initia l: SAS, AA Answer the followings questions: 1. (a) Explain annuity, compound interest and amortization. 3 CLO 1 Level-2 (b) Interpret the property of equilateral triangle and right-angled triangle. 2 2. (a) A landowner wants to make a small triangular garden. The three corners of the garden will be at points ( 3 , 6 ) , ( 𝑥 , 0 ) , and ( 6 , − 4 ) on a map. The garden must have an area of exactly 29 square meters. Identify the value of 𝑥 that makes the area of this triangle 29 square meters. 2.5 CLO 2 Level-3 (b) Michael opens a savings account and deposits $5,000. After 2 years, the total amount in his account grows to $5,600. Assuming the bank pays simple interest, choose the annual interest rate offered by the bank. 2.5 3. ( a) Solve the following equation: log 𝑥 2 + log 𝑥 9 + log 𝑥 12 = 3 2.5 CLO 2 Level-3 ( b) If log ( 𝑥 + 𝑦 9 ) = 1 2 ( log 𝑥 + log 𝑦 ) then show that 𝑥 𝑦 + 𝑦 𝑥 = 79 2.5 4. ( a) Identify the number of months it will take at 9 percent interest compounded semi-annually for $5,000 to grow to $10,000. 2.5 CLO 2 Level-3 ( b) A hospital wants to set up a medical equipment replacement fund by depositing a fixed amount at the end of every three months into a reserve account. The goal is to accumulate $120,000 in 7 years. If the fund earns 7% interest compounded quarterly, select the value should be transferred in each deposit. 2.5 5. ( a) Identify the value of 𝑘 that the points ( 2 , 3 2 ) , ( − 3 , − 7 2 ) and ( 𝑘 , 9 2 ) are on the same line. 2 CLO 2 Level-3 ( b) Examine that the points 𝐴 ( 6 , 6 ) , 𝐵 ( 2 , 3 ) and 𝐶 ( 4 , 7 ) are the vertices of right- angled triangle or not. Analyze your explanation. 3 CLO 3 Level-4 Good Luck!