Final answer:
The student's questions involve calculating time using simple interest, but necessary details are missing for a complete answer. For provided examples, the interest from a $5,000 loan at 6% over three years is $900, and the interest rate for a $10,000 loan that generates $500 over five years is 1%.
Step-by-step explanation:
Understanding Simple Interest Calculations
The student's question involves calculating the number of years it takes for an investment or loan to reach a specific amount using simple interest. Simple interest can be calculated using the formula I = P × r × t, where I is the interest, P is the principal amount, r is the annual interest rate, and t is the time in years. However, the student did not provide the final amount they wish to achieve with these investments, which is necessary to calculate the time. Without this information, we cannot accurately answer the questions numbered 1 to 5.
For the question 6, the total amount of simple interest from a $5,000 loan after three years with a simple interest rate of 6% can be calculated as follows: I = $5,000 × 0.06 × 3, which gives us I = $900.
Question 7 involves finding the interest rate charged on a loan when we know the principal, the simple interest received, and the time period. Using the simple interest formula, we calculate r as follows: $500 = $10,000 × r × 5, solving for r we get r = 1%.