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Suppose that a vending machine service company models its income by assuming that money flows continuously into the machines, with the annual rate of flow given by f(t) = 160e0.03tin thousands of dollars per year. Find the total income from the machines over the first 5 years. (Round your answer to the nearest thousand dollars.)$______

Respuesta :

MrRoyal

The total income from the machines over the first 5 years is $185.89

How to determine the total income from the machines over the first 5 years

From the question, we have the following parameters that can be used in our computation:

f(t) = 160e0.03t

Where

  • t = Number of years
  • f(t) = thousands of dollars per year

Rewrite the function properly

so, we have the following representation

f(t) = 160e⁰.⁰³ⁿ

The above function is an exponential function

So: In the first 5 years, we have the value of t to be 5

This is represented as follows

t = 5

Substitute the known values in the above equation, so, we have the following representation

f(5) = 160e⁰.⁰³ ˣ ⁵

Evaluate the product of the exponents

f(5) = 160e⁰.¹⁵

The products above give

f(5) = 185.89

Hence, the total income is $185.89

Read more about functions at

https://brainly.com/question/28277110

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