When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options: Option 1: An account that grows by 10.5% each year. Option 2: An account that grows by $20 each year. Which option will result in a better 18th birthday gift? Explain your reasoning.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.S: Summary
Problem 8S: What interest rate would you need to get to double an investment of 200 in eight years?
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When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options: Option 1: An account that grows by 10.5% each year. Option 2: An account that grows by $20 each year. Which option will result in a better 18th birthday gift? Explain your reasoning.

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