SOLUTION: Arianna invested $1,500 into a savings account that earns an annual interest rate of 5%. The interest is compounded monthly. Which is the total amount Arianna will have in the ac

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Question 1207160: Arianna invested $1,500 into a savings account that earns an annual
interest rate of 5%. The interest is compounded monthly. Which is
the total amount Arianna will have in the account in 4 years?
Ⓐ $1,603.19
Ⓑ $1,800
Ⓒ $1,831.34
Ⓓ $31,500

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Arianna invested $1,500 into a savings account that earns an annual
interest rate of 5%. The interest is compounded monthly. Which is
the total amount Arianna will have in the account in 4 years?
Ⓐ $1,603.19
Ⓑ $1,800
Ⓒ $1,831.34
Ⓓ $31,500
~~~~~~~~~~~~~~~~~~

    =  = 1831.34.    ANSWER

Solved.

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

To see many other similar  (and different)  solved problems on compounded interest accounts,  look into the lesson
    - Compounded interest percentage problems
in this site.

Learn the subject from there.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The method for finding the answer is as shown in the response from the other tutor.

If this is a multiple choice question on a timed test, then the correct answer choice can be found quickly with a bit of estimation and simple mental arithmetic.

If the interest were simple interest instead of compound interest, then the interest on $1500 at 5% per year would be $75 a year, or $300 for 4 years. So answer choice B would be the answer for simple interest. Since the problem is with compound interest, the amount at the end of 4 years must be a bit more than $1800. So answer choices A and B can't be right.

Answer choice C is a bit more than $1800, as required; answer choice D is unreasonable. So

ANSWER: C


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