This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Set up the inequality. Let B_0 be the initial bank balance, W be the weekly withdrawal amount, and n be the number of weeks. The balance after n weeks is B_0 - n × W. Anna wants to maintain a balance of at least Tshs 200,000. B_0 - n × W 200,000 Given: B_0 = Tshs 500,000 W = Tshs 40,000 Substitute the values into the inequality: 500,000 - n × 40,000 200,000 Step 2: Isolate the term with n. Subtract 500,000 from both sides: -n × 40,000 200,000 - 500,000 -n × 40,000 -300,000 Step 3: Solve for n. Divide both sides by -40,000. Remember to reverse the inequality sign when dividing by a negative number: n (-300,000)/(-40,000) n (30)/(4) n 7.5 Step 4: Interpret the result. Since n represents the number of weeks, it must be a whole number. Anna can withdraw money for a maximum of 7 full weeks while maintaining a balance of at least Tshs 200,000. If she withdraws for 8 weeks, her balance will fall below Tshs 200,000. The maximum number of weeks she can withdraw money is 7 weeks.