AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Dominic bought stock in a company two years ago that was worth dollars. During the first year that he owned the stock, it increased by . During the second year the value of the stock increased by . Write an expression in terms of that represents the value of the stock after the two years have passed.
Full solution
Q. Dominic bought stock in a company two years ago that was worth dollars. During the first year that he owned the stock, it increased by . During the second year the value of the stock increased by . Write an expression in terms of that represents the value of the stock after the two years have passed.
- Identify Initial Value and Increases: Identify the initial value of the stock and the percentage increases over the two years.Dominic's initial stock value: dollarsFirst year increase: Second year increase: We need to calculate the value of the stock after each year's increase.
- Calculate First Year Value: Calculate the value of the stock after the first year's increase.To find the increased value, we multiply the initial value by plus the percentage increase (expressed as a decimal).Value after first year = Simplify the expression.Value after first year =
- Calculate Second Year Value: Calculate the value of the stock after the second year's increase.Now we take the value after the first year and increase it by .Value after second year = Simplify the expression.Value after second year =
- Combine Expressions for Total Value: Combine the expressions to represent the total value after two years.The final expression that represents the value of the stock after two years is:Final value = xx \times \(1.) \times .
More problems from Percent of change: word problems
QuestionGet tutor help
QuestionGet tutor help