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you have $1000 you are investing in a money market fund that advertises 6% annually, compounded quarterly. how much money you will have saved for your purchase after 10 years

 Jun 12, 2014

Best Answer 

 #1
avatar+3454 
+5

Our compounded-interest formula is

A = P(1+r/n)nt 

 

Where:

A = amount of money accumulated after n years, including interest.

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

n  =  number of times the interest is compounded per year 

t  = number of years the amount is deposited or borrowed for.

 

Let's put these numbers into our formula to find how much money we'll have after 10 years!

 

A = P(1+r/n)nt 

A = 1000(1+(.06)/(4))(4)(10)      ----The interest is compounded quarterly, so 4 times a year (n=4)

A =  1000(1+.015)40

A = 1000(1.015)40

A = 1000(1.8140184086689515)

A = 1814.0184086689515

Round up

A = 1814.02

 

After 10 years, you will have $1814.02!

 

Formula source: https://qrc.depaul.edu/StudyGuide2009/Notes/Savings%20Accounts/Compound%20Interest.htm

 Jun 12, 2014
 #1
avatar+3454 
+5
Best Answer

Our compounded-interest formula is

A = P(1+r/n)nt 

 

Where:

A = amount of money accumulated after n years, including interest.

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

n  =  number of times the interest is compounded per year 

t  = number of years the amount is deposited or borrowed for.

 

Let's put these numbers into our formula to find how much money we'll have after 10 years!

 

A = P(1+r/n)nt 

A = 1000(1+(.06)/(4))(4)(10)      ----The interest is compounded quarterly, so 4 times a year (n=4)

A =  1000(1+.015)40

A = 1000(1.015)40

A = 1000(1.8140184086689515)

A = 1814.0184086689515

Round up

A = 1814.02

 

After 10 years, you will have $1814.02!

 

Formula source: https://qrc.depaul.edu/StudyGuide2009/Notes/Savings%20Accounts/Compound%20Interest.htm

NinjaDevo Jun 12, 2014
 #2
avatar+130511 
0

Thanks for including that reference at the bottom, ND......

 

 Jun 12, 2014

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