Mateo leverages his skills to work part-time in an entry-level data entry and analysis role(using Microsoft Excel!).The job pays $30 per hour and his salary increases by 5%, continuously compounded, annually.He starts with 200 hours per year and he will increase his work hours linearly for the next 3 years. After those 3 years,he will leave the role and pursue a permanent position.If he hopes to earn $45000 over those 3 years, how many hours per year must he working at the time he leaves the job?Please round your answer to two decimal places (only round at the very end of problem)

This is the hint provided: Ifwetrytowriteanequationforhisworkhours(eqn.ofaline),wedon'tknowtheslopesobegin by assigning a variable to it.Let m be the slope.Then,our equation (in point-slope form) should look like H stuff =m (t other stuff) where H= hours working per year and t= number of years since Mateo started. We know what stuff and other stuff are.What are they?From there, set up an integral, similarly to how we did in class.