Business Mathematics Fall 2025 MID Question

Semester: Fall-2025 Time: 1 Hour and 30 Minutes Course Code: 0541-122 Section: All Daffodil International University Faculty of Business & Entrepreneurship Department of Business Administration Program: BBA Examination: Mid-term FullMarks 25 Course Title: Business Mathematics Teachers Initial: SAS. AA 1. 2. 3. 4. (a) (b) (a) (b) (a) (a) Answer the following questions: A company has borrowed Tk. 52002000 at 10 percent compounded semi- annually. The debt is to be amortized by equal payments each over a period of tuo yearsu Identi$' the amount of each payment and also prepare the amortization schedule Sarah deposits S8:000 into a savings account that pays 6% simple interest er year. She wants her money to grow to S9A40. Choose the number of months it will take for her investment to reach $9,440. Exarnine that the points A(2, 4), B(2, 6) and C(2 + , 5) are the vertices of an equilateral triangle or not. Identify the value of k that the points (5, 5), (10, y), and (—5,1) are on the same line x+S . b3x then show that x log Ifa . = loga x3 + y 3 = O and x + y O, then prove that log(x 4- y) (logx + logy + log 3) 2 An architect is designing a triangular playground. The three comers of the playground will be at the points (2, 5), (x, O), and (7, — 3) on a la»ut 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 2 CLO 2 Level-3 CLO 3 Level-4 CLO 2 Level-3 2.5 CLO 2 Level-3 2.5 CLO 2 Level-3 2.5 A small business owner invests some capital into a long-term savings plan She wants her investment to triple in value over 10 years Ifthe interest is CLO 2 2.5 compounded quarterly, select the interest rate must the bank offer for her Lev el-3 money to triple in 10 years 5. (b) (a) (b) Distinguish the characteristics of simple interest and compound interest Interpret Annuity: Isosceles triangle and Natural logarithm 2 CLO 1 Level-2