Final answer:
To earn 2% annual simple interest on an investment that will be worth $12,500 in 10 months, you should pay $833,333.33 for the note.
Step-by-step explanation:
To calculate the amount you should pay for a note that will be worth $12,500 in 10 months and earn 2% annual simple interest, we can use the formula:
Simple Interest = Principal × Rate × Time
Given that the simple interest is 2% and the time is 10 months (which is equivalent to 10/12 of a year), we can substitute the values into the formula:
2% = Principal × 0.02 × (10/12)
To find the Principal, we can rearrange the formula:
Principal = Simple Interest / (Rate × Time)
Substituting the values into the formula:
Principal = 12,500 / (0.02 × (10/12))
Simplifying the expression, we get:
Principal = 12,500 / 0.015
Principal = $833,333.33 (rounded to two decimal places).