jmc

In the first quarter, Paula earns \frac{0.10}{4}(\10,\!000)$ininterest,soherinvestmentisworth$\10,\!000 +\frac{0.10}{4}(\10,\!000) = \left(1 + \frac{0.10}{4}\right)(\$10,000)$. Similarly, the value of her investment is multiplied by $1+\frac{0.10}{4}$ each quarter, so after 5 years, which is $5\cdot 4=20$ quarters, her investment is worth $${\left(1+\frac{0.10}{4}\right)}^{5\cdot 4}(\$10,000)\approx \boxed{\$16,386.16}.$$