A new shopping mall records 120120120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10/%10%10, percent more than the number of shoppers the day before.

What is the total number of shoppers that visited the mall in the first 777 days?

Answer: in the firs sven days the total number of shopers is 1139

Step-by-step explanation:

Each number is repeated 3 times.

The data that we have is:

The shopping mall records 120 total shoppers on their first day of business.

Each day the number of shopers incriements by a 10% (0r 0.1 in decimal form)

That means that if the first dat the number is 120, the second day it is:

N (2) = 120 + 0.1*120 = 120*1.1

in the third day we have other increment of a 10%

N (3) = (120*1.1) + 120*1.1*0.1 = 120*1.1^2

This is an exponential relation of the form:

N (x) = 120*1,1^ (x-1)

where x is the number of days.

Then the number in the of shoppers that visited the mail in the first 7 days is:

N (1) + N (2) + N (3) + N (4) + N (5) + N (6) + N (7)

120 + 120*1.1 + 120*1.1^2 + 120*1.1^3 + 120*1.1^4 + 120*1.1^5 + 120*1.1^6 = 1138.46

But we need to round it up, because we can not have a 0.46 of a person, so we have 1139 shoppers.

The total number of shoppers that visited the mall in the first 7 days is 1140.

Step-by-step explanation:

First day:

120 shoppers

Second day:

1.1*120 = 132 shoppers

Third day:

1.1*132 = 145 shoppers.

Fourth day:

1.1*145 = 160 shoppers

Fifth day:

1.1*160 = 176 shoppers

Sixth day:

1.1*176 = 194 shoppers

Seventh day:

1.1*194 = 213 shoppers

First 7 days:

120+132+145+160+176+194+213 = 1140

The total number of shoppers that visited the mall in the first 7 days is 1140.