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?

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.

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.