Trevor invested $ 4720
Solution:
Given that, Trevor earned $ 826 on account during 2.5% annual interest for seven years
We can simple interest formula
The formula for simple interest is given as:
[tex]\text{ Simple Interest } = \frac{p \times n \times r}{100}[/tex]
Where,
"p" is the principal
"n" is the number of years
"r" is the rate of interest
Here given that,
Principal = p = ?
rate of interest = r = 2.5 %
number of years = n = 7
Simple interest earned = 826
Substituting the values in above formula,
[tex]826 = \frac{p \times 7 \times 2.5}{100}\\\\82600 = p \times 7 \times 2.5\\\\82600 = 17.5p\\\\p = \frac{82600}{17.5}\\\\p = 4720[/tex]
Thus he invested $ 4720