A TV manufacturer produces 500 TVs in its first year and plans to increase production by 8 percent each year for the next 10 years. How many total TVs will have been produced at the end of the tenth year? (1 point)

1 answer

To calculate the total number of TVs produced at the end of the tenth year, we need to use the formula for geometric progression:

A = a * (r^n)

Where:
A = total number of TVs produced at the end of the tenth year
a = initial production (500 TVs)
r = common ratio (1 + 0.08 = 1.08)
n = number of years (10 years)

Plugging in the values:

A = 500 * (1.08^10)

A = 500 * 2.158924

A = 1079.462

Therefore, the total number of TVs produced at the end of the tenth year will be approximately 1079 TVs.