19. What does 1,000 simple interest? 20. What sum of money amounts to \( 1,204.00 \) in 4 years at \( 3 \% \) simple interest? 21. What was the interest rate at kobo per naira per week if 20.00 amounted to 35.00 in 5 weeks? 22. What is the duration of the loan in weeks if 200.00 borrowed at 12 k per 1.00 per week amounts to

Sure, let's address each of your questions one by one: --- ### **19. What does 1,000 simple interest?** **Clarification Needed:** The question appears to be incomplete or unclear. To accurately determine the simple interest on ₦1,000, we need additional information such as: - **Rate of Interest (r):** The percentage at which interest is charged. - **Time Period (t):** The duration for which the money is borrowed or invested. **Formula for Simple Interest:** \[ \text{Simple Interest (SI)} = P \times r \times t \] - **\( P \)** = Principal amount (₦1,000 in this case) - **\( r \)** = Annual interest rate (in decimal) - **\( t \)** = Time period (in years) **Example Calculation:** If you provide the rate and time, I can calculate the exact simple interest for you. For instance, if the rate is 5% per annum for 2 years: \[ SI = 1000 \times 0.05 \times 2 = ₦100 \] --- ### **20. What sum of money amounts to ₦1,204.00 in 4 years at 3% simple interest?** **Given:** - **Amount (A):** ₦1,204.00 - **Time (t):** 4 years - **Rate (r):** 3% per annum **To Find:** - **Principal (P):** The initial sum of money **Formula:** \[ A = P \times (1 + r \times t) \] **Rearranged to Find \( P \):** \[ P = \frac{A}{1 + r \times t} \] **Calculations:** 1. Convert the rate from percentage to decimal: \[ r = \frac{3}{100} = 0.03 \] 2. Plug the values into the formula: \[ P = \frac{1204}{1 + 0.03 \times 4} = \frac{1204}{1 + 0.12} = \frac{1204}{1.12} = ₦1,075.00 \] **Answer:** The principal amount is **₦1,075.00**. --- ### **21. What was the interest rate at kobo per naira per week if ₦20.00 amounted to ₦35.00 in 5 weeks?** **Given:** - **Principal (P):** ₦20.00 - **Amount (A):** ₦35.00 - **Time (t):** 5 weeks **To Find:** - **Interest Rate (R):** In kobo per naira per week **Formula:** \[ A = P \times (1 + R \times t) \] **Rearranged to Find \( R \):** \[ R = \frac{(A/P) - 1}{t} \] **Calculations:** 1. Plug the values into the formula: \[ R = \frac{(35/20) - 1}{5} = \frac{1.75 - 1}{5} = \frac{0.75}{5} = 0.15 \] 2. Convert the rate from naira to kobo: \[ R = 0.15 \text{ naira per week} = 15 \text{ kobo per week} \] **Answer:** The interest rate is **15 kobo per naira per week**. --- ### **22. What is the duration of the loan in weeks if ₦200.00 is borrowed at 12 kobo per ₦1.00 per week and amounts to [Amount Missing]?** **Given:** - **Principal (P):** ₦200.00 - **Rate (R):** 12 kobo per ₦1.00 per week (which is ₦0.12 per week) **To Find:** - **Time (t):** Duration in weeks **Additional Information Needed:** The **final amount (A)** after the loan period is required to calculate the duration. Without this, we cannot determine the exact time. **Formula:** \[ A = P \times (1 + R \times t) \] **Rearranged to Find \( t \):** \[ t = \frac{(A/P) - 1}{R} \] **Example Calculation:** If, for instance, the amount amounts to ₦224.00: 1. Plug the values into the formula: \[ t = \frac{224/200 - 1}{0.12} = \frac{1.12 - 1}{0.12} = \frac{0.12}{0.12} = 1 \text{ week} \] **Answer:** Please provide the final amount the loan amounts to in order to calculate the duration. --- **Feel free to provide the missing information for questions 19 and 22, and I'll be happy to help further!**