514 divided by 28 equals 18.3571429
The company spends $649 on advertising
The sales function after advertising is given as:
![S(x) = 5 + 7\ln(x + 1)](https://tex.z-dn.net/?f=S%28x%29%20%3D%205%20%2B%207%5Cln%28x%20%2B%201%29)
When the total sales is $19,100, we have S(x) = 19100
So, the sales function becomes
![5 + 7\ln(x + 1) = 19.1](https://tex.z-dn.net/?f=5%20%2B%207%5Cln%28x%20%2B%201%29%20%3D%2019.1)
Subtract 5 from both sides
![7\ln(x + 1) = 14.1](https://tex.z-dn.net/?f=7%5Cln%28x%20%2B%201%29%20%3D%2014.1)
Divide both sides by 7
![\ln(x + 1) = 2.014](https://tex.z-dn.net/?f=%5Cln%28x%20%2B%201%29%20%3D%202.014)
Take exponents of both sides
![x + 1 = e^{2.014](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%20e%5E%7B2.014)
![x + 1 = 7.49](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%207.49)
Subtract 1 from both sides
![x= 6.49](https://tex.z-dn.net/?f=x%3D%206.49)
Hence, the company spends $649 on advertising
Read more about functions at:
brainly.com/question/12940982
Answer:
it is the abstract science of number, quantity and space, either as abstract concept