7. The number of pages in the IRS Tax Code has followed the function $$ T(n)=400(1.055)^{n} $$, where $$ n $$ is the number of years since 1913. Based on this, predict the number of pages in the tax code in 2015 .

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Given the function $$ T(n) = 400(1.055)^{n} $$, where $$ n $$ is the number of years since 1913, we need to predict the number of pages in the tax code in 2015.

To find the number of pages in the tax code in 2015, we need to substitute $$ n = 2015 - 1913 = 102 $$ into the function $$ T(n) $$.

Substitute $$ n = 102 $$ into the function $$ T(n) = 400(1.055)^{n} $$:

$$ T(102) = 400(1.055)^{102} $$

Now, we can calculate the value of $$ T(102) $$ to find the number of pages in the tax code in 2015.
Calculate the value by following steps:
- step0: Calculate:
  $$400	imes 1.055^{102}$$
- step1: Convert the expressions:
  $$400\left(\frac{211}{200}ight)^{102}$$
- step2: Simplify:
  $$400	imes \frac{211^{102}}{200^{102}}$$
- step3: Rewrite the expression:
  $$200	imes 2	imes \frac{211^{102}}{200^{102}}$$
- step4: Reduce the numbers:
  $$2	imes \frac{211^{102}}{200^{101}}$$
- step5: Rewrite the expression:
  $$2	imes \frac{211^{102}}{8^{101}	imes 25^{101}}$$
- step6: Rewrite the expression:
  $$2	imes \frac{211^{102}}{2^{303}	imes 25^{101}}$$
- step7: Reduce the numbers:
  $$\frac{211^{102}}{2^{302}	imes 25^{101}}$$
The number of pages in the tax code in 2015 is approximately 94,147.951288 pages.
The number of pages in the tax code in 2015 is approximately 94,147.

The number of pages in the IRS Tax Code has followed the function
, where is the number of years since 1913. Based on this,
predict the number of pages in the tax code in 2015 .

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The number of pages in the IRS Tax Code has followed the function , where is the number of years since 1913. Based on this, predict the number of pages in the tax code in 2015 .