13. On your 20th birthday you buy a $100,000 winning lottery ticket! You're debating two scenarios: Option 1: You are super-responsible and wish to deposit the entire amount in an account with a continuous interest rate of 5%. Option 2: You are semi-super-responsible, spend $25,000 on a splurge vacation, depositing the remainder in an account earning 7% interest, compounded quarterly. a. Write a function to model Option 1. b. Write a function to model Option 2. c. You don't need to use the deposited money and accrued interest for 15 years. Which option should you choose to have the most money at that time? d. After how many years are the two investments equal?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 14P: Annual interest yield refer to problem 13 .suppose the investor decides to increase the maximum...
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13. On your 20th birthday you buy a $100,000 winning lottery ticket! You're debating two scenarios:
Option 1: You are super-responsible and wish to deposit the entire amount in an account
with a continuous interest rate of 5%.
Option 2: You are semi-super-responsible, spend $25,000 on a splurge vacation, depositing
the remainder in an account earning 7% interest, compounded quarterly.
a. Write a function to model Option 1.
b. Write a function to model Option 2.
c. You don't need to use the deposited money and accrued interest for 15 years. Which option
should you choose to have the most money at that time?
d. After how many years are the two investments equal?
Transcribed Image Text:13. On your 20th birthday you buy a $100,000 winning lottery ticket! You're debating two scenarios: Option 1: You are super-responsible and wish to deposit the entire amount in an account with a continuous interest rate of 5%. Option 2: You are semi-super-responsible, spend $25,000 on a splurge vacation, depositing the remainder in an account earning 7% interest, compounded quarterly. a. Write a function to model Option 1. b. Write a function to model Option 2. c. You don't need to use the deposited money and accrued interest for 15 years. Which option should you choose to have the most money at that time? d. After how many years are the two investments equal?
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