Question

Salary A person accepts a position with a company at a salary of 32,800 dollars for the first year. The person is guaranteed a raise of $5 \%$ per year for the next 3 years. Determine the person's salary during the fourth year of employment.

Name: Problem 76, Chapter 10: Calculus an Applied Approach
Uploaded: 2020-11-03T04:37:03-08:00
Duration: 1 min 34 s
Channel: Linh Vu
Description: Salary A person accepts a position with a company at a salary of 32,800 dollars for the first year. The person is guaranteed a raise of 5 % per year for the next 3 years. Determine the person's salary during the fourth year of employment.

   Salary A person accepts a position with a company at a salary of 32,800 dollars for the first year. The person is guaranteed a raise of $5 \%$ per year for the next 3 years. Determine the person's salary during the fourth year of employment.

Calculus an Applied Approach

Ron Larson, David C,… 8th Edition

Chapter 10, Problem 76

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Solved by Expert Linh Vu

11/03/2020

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Step 1: The initial salary of the person is $32,800. Show more…

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Salary A person accepts a position with a company at a salary of 32,800 dollars for the first year. The person is guaranteed a raise of $5 \%$ per year for the next 3 years. Determine the person's salary during the fourth year of employment.

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Key Concepts

Percentage Increase

This concept involves the idea of increasing a number by a certain percentage, where the percentage is first converted into a decimal and then used as a multiplier. In the context of salaries, a 5% raise means multiplying the original salary by 0.05 and adding it to the original amount to obtain the new salary.

Exponential Growth

Exponential growth occurs when a quantity increases by a fixed percentage over equal time intervals. For salary raises, this means repeatedly applying the percentage increase each year, leading to a salary that grows according to an exponential function over time.

Compound Growth

This concept refers to the process of applying a growth rate to an initial value repeatedly over multiple periods. In the context of salary increases, the compound growth formula is used to calculate the salary in a future year by multiplying the initial salary by the factor (1 + raise rate) raised to the number of years of raises.

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