Respuesta :

Step 1:

Write the compound interest formula

[tex]\begin{gathered} \text{Amount = P( 1 + }\frac{r}{n})^{nt} \\ \text{For seniannually, n = 2} \\ P\text{ = \$14800} \\ r=\text{ 6\% = 0.06} \\ \text{Time t = 4 years} \end{gathered}[/tex]

Step 2:

Substitute the values in the formula

[tex]\begin{gathered} P\text{ = 14800 }\times\text{ ( 1 + }\frac{0.06}{2})^{2\times4} \\ P\text{ = 14800 }\times\text{ ( 1 + }0.03)^8 \\ P\text{ = 14800 }\times1.03^8 \\ P\text{ = 18748.2} \end{gathered}[/tex]