32. Calculate the simple interest earned on each deposit. (a) $\$ 350,8 \%, 2 \frac{1}{2}$ years (b) $\$ 50,10 \frac{1}{2} \%, 18$ months Day $3-13$

Step 1 ：The formula for simple interest is \(I = PRT\), where \(I\) is the interest, \(P\) is the principal amount (initial investment), \(R\) is the annual interest rate (in decimal form), and \(T\) is the time the money is invested for in years.

Step 2 ：For question (a), \(P = \$350\), \(R = 8\% = 0.08\), and \(T = 2.5\) years.

Step 3 ：Substitute \(P\), \(R\), and \(T\) into the formula, we get \(I = 350 \times 0.08 \times 2.5 = \$70\).

Step 4 ：For question (b), \(P = \$50\), \(R = 10.5\% = 0.105\), and \(T = 18\) months = \(1.5\) years.

Step 5 ：Substitute \(P\), \(R\), and \(T\) into the formula, we get \(I = 50 \times 0.105 \times 1.5 = \$7.875\).

Step 6 ：The simple interest earned on the deposit for question (a) is \$70 and for question (b) is \$7.875.

Step 7 ：So, the final answers are \(\boxed{70}\) and \(\boxed{7.875}\).