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25. A new app was downloaded 175 times in its first week Since then the number of downloads
increased by 16.5% each week. Use a continuous exponential growth model to approximate
the number of times the app was downloaded in 2 week
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Respuesta :

MrRoyal

Answer:

238 times

Step-by-step explanation:

Given

[tex]a = 175[/tex] -- first week

[tex]r = 16.5\%[/tex]--- growth per week

[tex]t = 2[/tex] --- time

Required

The number of times it was downloaded in 2 weeks

An exponential growth is represented as:

[tex]y = a(1 + r)^t[/tex]

So, we have:

[tex]y = 175 * (1 + 16.5\%)^2[/tex]

[tex]y = 175 * (1.165)^2[/tex]

[tex]y = 175 * 1.357225[/tex]

[tex]y = 237.514375[/tex]

[tex]y = 238[/tex] -- approximated

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