Business Mathematics Midterm Spring 2026 Question Paper

Daffodil International University Faculty of Business & Entrepreneurship Department of Business Administration Program: BBA Semester: Fall-2025 Examination: Mid-term Time: 1 Hour and 30 Minutes Full Marks: 25 Course Code: 0541-122 Course Title: Business Mathematics Section: All Teachers’ Ini tial: SAS, AA Answer the following questions: 1. (a ) A company has borrowed Tk. 5,00,000 at 10 percent compounded semi- annually. The debt is to be amortized by equal payments each over a period of two years. Identify the amount of each payment and also prepare the amortization schedule. 3 CLO 2 Level-3 (b) Sarah deposits $8,000 into a savings account that pays 6% simple interest per year . She wants her money to grow to $9,440 . Choose the number of months it will take for her investment to reach $9,440 . 2 2. (a) Examine that the points 𝐴 ( 2 , 4 ) , 𝐵 ( 2 , 6 ) and 𝐶 ( 2 + √ 3 , 5 ) are the vertices of an equilateral triangle or not. 3 CLO 3 Level-4 (b) Identify the value of 𝑘 that the points ( 5 , 5 ) , ( 10 , 𝑦 ) , and ( − 5 , 1 ) are on the same line. 2 CLO 2 Level-3 3. ( a) If 𝑎 3 − 𝑥 . 𝑏 5 𝑥 = 𝑎 𝑥 + 5 . 𝑏 3 𝑥 then show that 𝑥 log ( 𝑏 𝑎 ) = log 𝑎 2.5 CLO 2 Level-3 ( b) If 𝑥 3 + 𝑦 3 = 0 and 𝑥 + 𝑦 ≠ 0 , then prove that log ( 𝑥 + 𝑦 ) = 1 2 ( log 𝑥 + log 𝑦 + log 3 ) 2.5 4. ( a) An architect is designing a triangular playground. The three corners of the playground will be at the points ( 2 , 5 ) , ( 𝑥 , 0 ) , and ( 7 , – 3 ) on a layout map (measured in meters). The playground must have an area of exactly 12.5 square meters. Detect the value of 𝑥 that makes the area of this triangle equal to 12.5 square meters . 2.5 CLO 2 Level-3