Question
Question
In 25 years, a bond with a
annual interest rate earned
as interest. What was the principal amount of the bond
if the interest was calculated based on simple interest? Enter the answer as a whole dollar amount, no cents.
In 25 years, a bond with a
if the interest was calculated based on simple interest? Enter the answer as a whole dollar amount, no cents.
Ask by Haynes Dunn. in Canada
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The principal amount of the bond was $2000.
Solution
Let the principal be
. The simple interest formula is given by
We are given:
- Interest earned,
- Annual interest rate,
- Time,
years
Substitute the known values into the formula:
Calculate the product of
and
:
Now the equation becomes:
Solve for
by dividing both sides by
:
Thus, the principal amount is $2000.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To find the principal amount using the simple interest formula, we can rearrange the formula
, where
is the interest earned,
is the principal,
is the annual interest rate (as a decimal), and
is the time in years. In this case, we know that
,
, and
.
First, we can plug in what we know:
Now, simplifying the equation:
To solve for
, divide both sides by
:
So the principal amount of the bond is
.
In 25 years, the simple strategy of calculating interest on a bond has remained a reliable way to grow your savings. Just think about how many people have utilized this straightforward method to secure their futures!
If you want to dive deeper into investment strategies, consider exploring books like “The Intelligent Investor” or “A Random Walk Down Wall Street.” They’ll provide even more insights on finance, investing, and compounding interest—perfect for honing your money smarts!