SOLUTION: How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns 6% interest compounded quarterly. Round your answer

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Question 1195542: How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns 6% interest compounded quarterly. Round your answer to the nearest cent.

Answer by ikleyn(52874)   (Show Source): You can put this solution on YOUR website!
.
How much would you need to deposit in an account now in order to have
$4000 in the account in 10 years? Assume the account earns 6% interest compounded quarterly.
Round your answer to the nearest cent.
~~~~~~~~~~~~~~~~~

Use the future value formula for a quarterly compounded account

    Future Value = 

where A is the initial deposit and n is the number of quarters.



Therefore, our equation to find  " A "  is


    4000 = .


It gives

    A =  = 2205  dollars.


ANSWER. The necessary deposit is $2205.

Solved.

-------------------

To see many other similar  (and different)  solved problems,  look into the lesson
    - Problems on discretely compound accounts
in this site, and learn the subject from there.


After reading this lesson, you will tackle such problems on your own without asking for help from outside.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


Happy learning (!)



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