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sasho [114]
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

% 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 answer to nearest integer)

Mathematics
2 answers:
katovenus [111]3 years ago
4 0

Answer:1138

Step-by-step explanation:

Got it wrong, this was the correct answer

Iteru [2.4K]3 years ago
3 0

Answer:

1,139\ shoppers

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate in decimal form

b=(1+r)

In this problem we have

x ----> the number of days

y ----> the number of shoppers

a=120

r=10%=10/100=0.10

b=1+0.10=1.10

substitute the values

y=120(1.10)^{x}

First day

y=120

Second day

For x=1 day

substitute the value of x in the equation and solve for y

y=120(1.10)^{1}=132

Third day

For x=2 days

y=120(1.10)^{2}=145

Fourth day

For x=3 days

y=120(1.10)^{3}=160

Fifth day

For x=4 days

y=120(1.10)^{4}=176

Sixth day

For x=5 days

y=120(1.10)^{5}=193

Seventh day

For x=6 days

y=120(1.10)^{6}=213

Adds the numbers

120+132+145+160+176+193+213=1,139

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
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             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

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