Find an equation for the balance t years after January 1, 2010 Find the balance at the beginning of January 2016.  3.  When, to the nearest year, will the balance be 10,000?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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  • A balance in a bank account is compounded monthly at an annual rate of 5%. If the balance at the beginning of January, 2010 was 5000,
    1. Find an equation for the balance t years after January 1, 2010
    2. Find the balance at the beginning of January 2016. 

3.  When, to the nearest year, will the balance be 10,000?

Expert Solution
Step 1

Given,

initial balance = Principal = p = 5000

time period = t years

rate of interest = r =  5% per annum 

compounding period = n = 12        (because monthly compounding)

Amount (balance) = A

Step 2

1.

Amount after t years

A = p1+r100nt*n

Substituting the values

A = 50001+5100*1212t

A = 50001.0041712t                             

So,

the amount after t years will be  A = 50001.0041712t                          Answer

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