(a) Suppose the landlord invests a security deposit of $ 850 at a rate of 4 % compounded continuously. What is his net gain or loss after one year, rounded to the nearest cent? Use a negative number to denote a loss. Answer: $ (b) Suppose the landlord invests a security deposit of $ 850 at a rate of 5.5 % compounded continuously. What is his net gain or loss after one year, rounded to the nearest cent? Use a negative number to denote a loss. Answer: $

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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When one rents an apartment, one is often required to give the landlord a security deposit that is returned if the apartment is undamaged when you leave. In some localities, the landlord is required to pay the tenant interest once a year compounded yearly. Assume that the landlord is required to pay the tenant interest of 5 % compounded annually.

(a) Suppose the landlord invests a security deposit of $ 850 at a rate of 4 % compounded continuously. What is his net gain or loss after
one year, rounded to the nearest cent? Use a negative number to denote a loss.
Answer: $
(b) Suppose the landlord invests a security deposit of $ 850 at a rate of 5.5 % compounded continuously. What is his net gain or loss after
one year, rounded to the nearest cent? Use a negative number to denote a loss.
Answer: $
Transcribed Image Text:(a) Suppose the landlord invests a security deposit of $ 850 at a rate of 4 % compounded continuously. What is his net gain or loss after one year, rounded to the nearest cent? Use a negative number to denote a loss. Answer: $ (b) Suppose the landlord invests a security deposit of $ 850 at a rate of 5.5 % compounded continuously. What is his net gain or loss after one year, rounded to the nearest cent? Use a negative number to denote a loss. Answer: $
Expert Solution
Step 1

Given that landlord has to pay 5% of compound interest to tenant.

(a) Considering First case

Lndlord invested (P0)=$850

Interest rste (R) = 4%

Time (T) =  year

Formula for continuos compounding 

P1=P0 eRT - P0

P1= 850.e4*/100 - 850

P= 850.e4/100 - 850

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