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Bezzdna [24]
4 years ago
15

100 POINTS!!!!

Mathematics
1 answer:
Vladimir [108]4 years ago
7 0

<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>

Answer:

t= 462.82\ days

Step-by-step explanation:

<u>Exponential Growth </u>

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

\displaystyle f(x) = f_o(1 + r)^t

Where f_o is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

\displaystyle f(x) = 100(1.01)^t

We need to know when the number of followers will reach 1,000,000. Setting up the equation

\displaystyle 100(1.01)^t=1,000,000

Simplifying by 100

\displaystyle (1.01)^t=10,000

Taking logarithms

\displaystyle t\ log(1.01)=log\ 10,000

\displaystyle t\ log(1.01)=4

Solving for t

\displaystyle t=\frac{4}{log(1.01)}=925.63 periods of 12 hrs

t= 462.82\ days

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Now we have to subtract the two equations to find the difference,

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