Revenues of software publishers in a country for the years $2009-2018$ can be modeled by the function $S(x)=94622 e^{005195 x}$, where $x=9$ represents $2009, x=10$ represents 2010 , and so on, and $S(x)$ is in billions of dollars. Approximate, to the nearest unit, revenue for 2018 The total revenue for the year 2018 was approximately $\$ \square$ balion (Simplify your answer. Round to the nearest billion dollars as needed) Ask my instructor Clear all

Step 1 ：Given the function \(S(x)=94622 e^{005195 x}\), where \(x=9\) represents 2009, \(x=10\) represents 2010 , and so on, and \(S(x)\) is in billions of dollars. We are asked to find the revenue for 2018.

Step 2 ：First, we need to find the value of \(x\) that represents 2018. Since \(x=9\) represents 2009, we can say that \(x=9+(2018-2009)=18\) represents 2018.

Step 3 ：Now, we substitute \(x=18\) into the function to find the revenue for 2018: \(S(18)=94622 e^{005195 * 18}\)

Step 4 ：To simplify this, we can use the property of exponents that says \(a^{bc}=(a^b)^c\). So, we can rewrite the exponent as \((e^{005195})^{18}\).

Step 5 ：Now, we calculate the value of \(e^{005195}\) and then raise it to the power of 18: \(e^{005195} \approx 1.0052\)

Step 6 ：So, \(S(18)=94622 * (1.0052)^{18}\)

Step 7 ：Now, we calculate the value of \((1.0052)^{18}\) and then multiply it by 94622: \((1.0052)^{18} \approx 1.096\)

Step 8 ：So, \(S(18)=94622 * 1.096 \approx 103,800\) billion dollars.

Step 9 ：Therefore, the total revenue for the year 2018 was approximately \(\boxed{103,800}\) billion dollars.

Step 10 ：To check our answer, we can substitute \(x=18\) back into the original function and see if we get the same result: \(S(18)=94622 e^{005195 * 18} \approx 103,800\) billion dollars.

Step 11 ：Since our answer matches the original function, we can be confident that our answer is correct.