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The number of astronomy papers published increases by 3% every year. If 11,610 astronomy papers were published in a particular year, how many will be published 8 years later?If necessary, round your answer to the nearest whole number. astronomy papers

Answer :

We are given that the number of papers increases by a percentage of 3% annually. since we have a quantity that grows by a percentage we can use the following exponential function:

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

Where "r" is the rate of growth, "a" is the initial amount, and "t" is time. Replacing the values:

[tex]f(t)=11610(1+0.03)^t[/tex]

Simplifying:

[tex]f(t)=11610(1.03)^t[/tex]

Now we replace t = 8:

[tex]f(t)=11610(1.03)^8[/tex]

Solving the operations:

[tex]f(t)=14707[/tex]

Therefore, 14707 papers will be published.

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