Answer:
We can use the simple interest formula to find the rate of interest that the town savings bank pays:
Simple Interest = Principal x Rate x Time
where Principal is the initial deposit, Rate is the interest rate, and Time is the time period.
We know that the Principal is $5000, the Simple Interest earned over the first 10 years is $2950, and the Time is 10 years. Substituting these values into the formula, we get:
$2950 = $5000 x Rate x 10
Simplifying the equation, we get:
Rate = $2950 / ($5000 x 10)
Rate = 0.059 or 5.9%
Therefore, the town savings bank pays an interest rate of 5.9% on its savings accounts.