Question
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How much would you have to deposit in
an account with a interest rate,
compounded monthly, to have in
your account 10 years later?
Round to the nearest cent.

Ask by Mcguire Wheeler. in the United States
Jan 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

You need to deposit $547.36 today to have $1,100 in your account after 10 years with a 7% annual interest rate compounded monthly.

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Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To solve for in the equation , we need to isolate . Given that , , (monthly compounding), and :
  1. Plug in the values:
  2. Calculate :
  3. Calculate :
  4. Now, calculate :
So, the amount to deposit is approximately:

Imagine you’re planning a sunny vacation or a new gadget splurge in a decade! Knowing the historical power of compound interest is like having a financial wand—thanks to this magic, your money can grow even while you’re dreaming of that trip or product! It’s the reason why savings accounts with higher interest rates can be a great ally, pushing you just a little closer to your goals over time.
As for real-world trends, many folks underestimate the power of starting early—even a small deposit can blossom brilliantly over ten years! Think about your interests—what’s something fun you’d splurge on in the future? Maybe a travel spree or a tech upgrade? Start saving today, and watch your dreams unfold thanks to that savvy little interest compounding every month!

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