To calculate the amount accrued from Dora's investment using the formula \( A = Pe^{rt} \), we start by identifying the values: \( P = 5000 \), \( r = 0.025 \) (which is 2.5% expressed as a decimal), and \( t = 10 \). Next, we plug in these values into the formula:
\[ A = 5000 \cdot e^{(0.025 \cdot 10)} = 5000 \cdot e^{0.25} \]
Using a calculator, we find \( e^{0.25} \) to be approximately 1.2840, so then we calculate:
\[ A \approx 5000 \cdot 1.2840 \approx 6420 \]
Thus, Dora’s investment will be worth approximately $6,420 after 10 years.