Final answer:
To find the end-of-month value of Rachel's investment, we subtract the loss of $21.90 from the initial value of $97.25, resulting in a final value of $75.35.
Step-by-step explanation:
The student's question is about calculating the value of an investment at the end of a specific period given an initial value and a loss over that period. At the beginning of January, Rachel's investment was worth $97.25. Over the course of the month, the value decreased due to a loss of $21.90. To find the value at the end of January, we subtract the loss from the initial value:
$97.25 - $21.90 = $75.35.
Therefore, the value of Rachel's investment at the end of January is $75.35.