Final answer:
The exponential expression that represents Rick's deposit in the second week is 2^2.
Step-by-step explanation:
An exponential expression that represents Rick's deposit in the second week can be written as 22. In this expression, the base is 2, which represents the doubling of the deposit each week, and the exponent is 2, which represents the second week. This means that Rick's deposit doubles in the second week.
It illustrates the compounding effect where the deposit grows at a rate of 5% each week. Substituting the values into the formula allows for the computation of the deposit amount at the end of the second week.
This formula showcases the compounding nature of exponential growth, where the deposit experiences a 5% increment each week.
By substituting the given values into the expression, one can calculate the deposit amount after the second week. In this case, the result would provide insight into the total deposit value, considering the compounding effect over the two-week period.
Understanding such exponential expressions is crucial for predicting and managing financial growth, as it reflects the mathematical principles behind compounded interest or growth rates in various financial scenarios