A tourist converts $5820 USD to Kenya Shillings (Ksh) at a rate of 1 USD = 102.10 Ksh. They spend 450,000 Ksh and then convert the remaining money back to USD at a rate of 1 USD = 103.00 Ksh. How much

Here are the solutions to the questions: Currency Conversion Problem Step 1: Convert US dollars to Kenya Shillings. The tourist converted 5820 US dollars at a rate of 1 USD = 102.10 Ksh. Amount in Ksh = 5820 USD × 102.10 Ksh/USD Amount in Ksh = 594222 Ksh Step 2: Subtract the amount spent in Kenya Shillings. The tourist spent 450,000 Ksh. Remaining Ksh = 594222 Ksh - 450000 Ksh Remaining Ksh = 144222 Ksh Step 3: Convert the remaining Kenya Shillings back to US dollars. The conversion rate for dollars back is 1 USD = 103.00 Ksh. Remaining USD = 144222 Ksh103.00 Ksh/USD Remaining USD = 1400.21359... USD Step 4: Round the amount to the nearest dollar. Remaining USD ≈ 1400 USD The amount of money that remained, to the nearest dollar, is: 1400 USD --- 7. Prime Factorization and Evaluation Step 1: Express 1728 in terms of its prime factors. 1728 = 2 × 864 = 2 × 2 × 432 = 2 × 2 × 2 × 216 = 2 × 2 × 2 × 2 × 108 = 2 × 2 × 2 × 2 × 2 × 54 = 2 × 2 × 2 × 2 × 2 × 2 × 27 = 2^6 × 3 × 9 = 2^6 × 3 × 3 × 3 1728 = 2^6 × 3^3 Step 2: Express 2025 in terms of its prime factors. 2025 = 5 × 405 = 5 × 5 × 81 = 5^2 × 3 × 27 = 5^2 × 3 × 3 × 9 = 5^2 × 3 × 3 × 3 × 3 2025 = 3^4 × 5^2 Step 3: Evaluate [3]1728. Using the prime factorization: [3]1728 = [3]2^6 × 3^3 = 2^(6)/(3) × 3^(3)/(3) = 2^2 × 3^1 = 4 × 3 [3]1728 = 12 Step 4: Evaluate sqrt(2025). Using the prime factorization: sqrt(2025) = sqrt(3^4 × 5^2) = 3^(4)/(2) × 5^(2)/(2) = 3^2 × 5^1 = 9 × 5 sqrt(2025) = 45 Step 5: Evaluate the expression [3]1728sqrt(2025). [3]1728sqrt(2025) = (12)/(45) Step 6: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 3. (12 ÷ 3)/(45 ÷ 3) = (4)/(15) The evaluated expression is: (4)/(15) Last free one today — make it count tomorrow, or type /upgrade for unlimited.