A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10% more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the first 7 days? Round your final answer to the nearest integer. shoppers

Question

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is  10% more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the first 7 days? Round your final answer to the nearest integer. shoppers

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Calculate second day shoppers: Calculate the number of shoppers on the second day by increasing the first day's count by 10%. First day shoppers: 120 Percentage increase: 10% Number of shoppers on the second day: 120 + (10% of 120) 120 + (0.10 × 120) 120 + 12 132Calculate third day shoppers: Calculate the number of shoppers on the third day by increasing the second day's count by 10%. Second day shoppers: 132 Percentage increase: 10% Number of shoppers on the third day: 132 + (10% of 132) 132 + (0.10 × 132) 132 + 13.2 145.2 Since the number of shoppers cannot be a fraction, we consider the actual number of shoppers as 145 (assuming we round down to the nearest integer for each day).Calculate fourth day shoppers: Calculate the number of shoppers on the fourth day by increasing the third day's count by 10%. Third day shoppers: 145 Percentage increase: 10% Number of shoppers on the fourth day: 145 + (10% of 145) 145 + (0.10 × 145) 145 + 14.5 159.5 Again, assuming we round down to the nearest integer, the number of shoppers on the fourth day is 159.Calculate fifth day shoppers: Calculate the number of shoppers on the fifth day by increasing the fourth day's count by 10%. Fourth day shoppers: 159 Percentage increase: 10% Number of shoppers on the fifth day: 159 + (10% of 159) 159 + (0.10 × 159) 159 + 15.9 174.9 Rounding down to the nearest integer, the number of shoppers on the fifth day is 174.Calculate sixth day shoppers: Calculate the number of shoppers on the sixth day by increasing the fifth day's count by 10%. Fifth day shoppers: 174 Percentage increase: 10% Number of shoppers on the sixth day: 174 + (10% of 174) 174 + (0.10 × 174) 174 + 17.4 191.4 Rounding down to the nearest integer, the number of shoppers on the sixth day is 191.Calculate seventh day shoppers: Calculate the number of shoppers on the seventh day by increasing the sixth day's count by 10%. Sixth day shoppers: 191 Percentage increase: 10% Number of shoppers on the seventh day: 191 + (10% of 191) 191 + (0.10 × 191) 191 + 19.1 210.1 Rounding down to the nearest integer, the number of shoppers on the seventh day is 210.Calculate total shoppers over 7 days: Add the number of shoppers from each day to find the total number of shoppers over the first 7 days. Total shoppers = 120 (first day) + 132 (second day) + 145 (third day) + 159 (fourth day) + 174 (fifth day) + 191 (sixth day) + 210 (seventh day) Total shoppers = 120 + 132 + 145 + 159 + 174 + 191 + 210 Total shoppers = 1031

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