Kimberly's family invested in a Certificate of Deposit (CD) for her when she was born. They deposited S3,000 at an annual interest rate of 8%. The interest is compounded quarterly. What is the value of the CD at the end of 5 years? Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 5 years (substitute 5 for t)? Will the value of Kimberly's CD be greater after 15 years if it is compounded annually rather than quarterly? Annually (1 time per year): Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)? Quarterly (4 times per year): Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 67SE: Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500....
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Kimberly's family invested in a Certificate of Deposit (CD) for her when she was born. They
deposited S3,000 at an annual interest rate of 8%. The interest is compounded quarterly. What
is the value of the CD at the end of 5 years?
Principal Amount (P) =
Rate of interest (r) =
The number of times the interest is compounded (n) =
Exponential function:
What is the value after 5 years (substitute 5 for t)?
Will the value of Kimberly's CD be greater after 15 years if it is compounded annually
rather than quarterly?
Annually (1 time per year):
Principal Amount (P) =
Rate of interest (r) =
The number of times the interest is compounded (n) =
Exponential function:
What is the value after 15 years (substitute 15 for t)?
Quarterly (4 times per year):
Principal Amount (P) =
Rate of interest (r) =
The number of times the interest is compounded (n) =
Exponential function:
What is the value after 15 years (substitute 15 for t)?
Transcribed Image Text:Kimberly's family invested in a Certificate of Deposit (CD) for her when she was born. They deposited S3,000 at an annual interest rate of 8%. The interest is compounded quarterly. What is the value of the CD at the end of 5 years? Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 5 years (substitute 5 for t)? Will the value of Kimberly's CD be greater after 15 years if it is compounded annually rather than quarterly? Annually (1 time per year): Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)? Quarterly (4 times per year): Principal Amount (P) = Rate of interest (r) = The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)?
Compare these values to when the interest is compounded
semiannually or monthly.
Semiannually (2 times per year):
Principal Amount (P) =
Rate of interest (r) =.
The number of times the interest is compounded (n) =
Exponential function:
What is the value after 15 years (substitute 15 for t)?
Monthly (12 times per year):
Principal Amount (P):
Rate of interest (r) =,
The number of times the interest is compounded (n) =
Exponential function:
What is the value after 15 years (substitute 15 for t)?
What rate of compounding interest will give the most money in Kimberly's account? (Circle one)
Quarterly / Annually / Semiannually / Monthly
Transcribed Image Text:Compare these values to when the interest is compounded semiannually or monthly. Semiannually (2 times per year): Principal Amount (P) = Rate of interest (r) =. The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)? Monthly (12 times per year): Principal Amount (P): Rate of interest (r) =, The number of times the interest is compounded (n) = Exponential function: What is the value after 15 years (substitute 15 for t)? What rate of compounding interest will give the most money in Kimberly's account? (Circle one) Quarterly / Annually / Semiannually / Monthly
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