Question
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)
Answers
GPT 3.5
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.
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.