The yearly attendance at a local restaurant is 42,400 and grows continuously at a rate of 4.1% each year. What is the approximate attendance at the restaurant in 15 years?

To find the approximate attendance at the restaurant in 15 years, we can use the formula for calculating continuous growth:

A = P * e^(rt)

Where:
A is the final attendance
P is the initial attendance
r is the growth rate expressed as a decimal
t is the time period in years
e is the base of the natural logarithm, approximately equal to 2.71828

Given:
P = 42,400
r = 4.1% = 0.041 (as a decimal)
t = 15

Plugging in these values into the formula, we have:

A = 42,400 * e^(0.041 * 15)

Now, we can calculate the approximate attendance at the restaurant in 15 years.

42,400*(1.041)^15 = 42,400*1.8271

= 77,469