Answer:
The expression A=500(1+0.005)²¹ represents an exponential growth model, where A is the amount of money in the account, and t is the number of time periods that have elapsed. In this case, the rate of growth in the account is 0.005 (which is equal to 0.5%) per time period.
The interval 3sts5 represents the time period from the third time period to the fifth time period. Over this interval, the account will experience growth at a rate of 0.005 per time period for 3 time periods.
The total rate of growth over the interval 3sts5 can be calculated by multiplying the rate of growth per time period (0.005) by the number of time periods (3). This gives us a total rate of growth of 0.005*3 = 0.015, or 1.5%.
Therefore, the rate of growth in the account on the interval 3sts5 is 1.5%.