To determine the interest amount at the end over a period:
(a) Principal investment =$13000
Rate = 4.75%
Time = 26 months / 12 =2.1667
[tex]\begin{gathered} I=\frac{PRT}{100} \\ I\text{ =}\frac{\text{\$13000 x 4.75 x 2.16}7}{100} \\ I=130\text{ x 4.75 x 2.167} \\ I\text{ = \$1337.94} \end{gathered}[/tex]Therefore the interest earned over the 26 month period = $1337.94
(b) How much is in the account at the end of the 26 month period:
Amount = principal + interest
[tex]\begin{gathered} \text{Amount = Principal + Interest} \\ \text{Principal = \$13000} \\ \text{Interest = \$1337.94} \\ \text{Amount = \$13000 + \$1337.94} \\ \text{Amount = \$14337.94} \end{gathered}[/tex]Therefore the account at the end of the 26 month period, taylor will have = $14337.94