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sergij07 [2.7K]
3 years ago
11

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 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 7 days?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

m  = p(q)^x

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

m = 120(1.1)^x

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

m = 120(1.1)^x

m = 120

For the second day:

m = 120(1.1)^1

m = 132

For the third day:

m = 120(1.1)^2

m = 145.2

For the fourth day

m = 120(1.1)^3

m = 159.72

For the  fifth-day

m = 120(1.1)^4

m = 175.692

For the sixth-day

m = 120(1.1)^5

m = 193.2612

For the seventh-day

m = 120(1.1)^6

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732

= 1138.46052

≅ 1138

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