A savings account pays a 3% nominal annual interest rate and has a balance of $1,000. Any interest earned is deposited into the account and no further deposits or withdrawals are made. 1) Write an expression that represents the balance in one year if interest is compounded annually. 2) If interest is compounded semi-annually (every six months), what interest rate would be used for each calculation?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.59TI: New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will...
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A savings account pays a 3% nominal annual interest rate and
has a balance of $1,000. Any interest earned is deposited into
the account and no further deposits or withdrawals are made.
1) Write an expression that represents the balance in one year if
interest is compounded annually.
2) If interest is compounded semi-annually (every six months),
what interest rate would be used for each calculation?
Transcribed Image Text:A savings account pays a 3% nominal annual interest rate and has a balance of $1,000. Any interest earned is deposited into the account and no further deposits or withdrawals are made. 1) Write an expression that represents the balance in one year if interest is compounded annually. 2) If interest is compounded semi-annually (every six months), what interest rate would be used for each calculation?
Expert Solution
Step 1

Given :rate of interest(r)=3% per annum=3100=0.03%              Principal amountP=$1000To find:1) Expression that represent the balance in one year if interest is     compounded annualy.2) If interest is compounded semi-annuallyevery six months    what interest rate would be used for each calculation? 

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