Example 4- Jenny and Jacob are at one corner of a rectangular field that is 100 meters by 300 meters. They need to get to the opposite corner of the field. They have two choices: go around the outside of the field or cut across diagonally. Which is the shortest and how much shorter is it than the other option.

Solve for \( x \) \[ 5^{3 x}=125^{2 x-1} \]

Addiere die gemischten Zahlen: \( 3\frac{1}{2} + 2\frac{2}{3} \)

Write a quadratic function \( f \) whose zeros are 2 and -11 . \( f(x)=\square \)

PS7 A grocer buys 50 kg of potatoes for \( £ 38 \). He packs them into 2.5 kg bags which he sells for \( £ 2.47 \) each. Calculate his percentage profit.

6900 dollars is placed in an account with an annual interest rate of \( 8.25 \% \). How much will be in the account after 26 years, to the nearest cent?