Question
Bill invested
end of 5 years? Round answers to the nearest cent.
end of 5 years? Round answers to the nearest cent.
Ask by Estrada Wheeler. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of Bill’s investment at the end of 5 years is approximately $2552.56.
Solution
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The Deep Dive
To find the future value of Bill’s investment, we can use the formula for compound interest:
Where:
-
is the amount of money accumulated after n years, including interest. -
is the principal amount (the initial amount of money). -
is the annual interest rate (decimal). -
is the number of years the money is invested or borrowed.
Plugging in Bill’s investment:
Calculating that gives:
Thus, the value of his investment at the end of 5 years is approximately
Now let’s dive a bit deeper! Did you know that the concept of compound interest dates back to ancient Babylon? They understood the basics of lending and interest, albeit not in the same formalized way as we do today. The principle of earning “interest on interest” is the magic sauce that has helped create wealth through generations.
Also, for those diving into the world of investments, starting early is key! The sooner you invest, the more time your money has to grow due to compounding. A small amount invested consistently can surprisingly turn into a hefty sum over multiple years. So don’t wait; let your money work for you!
