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Answer :

Given:

Amount earned = $219

Time = 8 years

Rate = 6.2 = 0.062

To find the principal amount earned, let's use the simple interest formula below:

[tex]\text{Amount = }P(1\text{ + rt)}[/tex]

Where

r = rate

P = principal amount

t = time

Thus, we have:

[tex]219\text{ = P(1 + }0.062\ast8)[/tex][tex]219\text{ = P(}1.496)[/tex][tex]219\text{ = 1.496P}[/tex]

Divide both sides by 1.496:

[tex]\begin{gathered} \frac{219}{1.496}=\frac{1.496P}{P} \\ \\ 146.39\text{ = P} \end{gathered}[/tex]

Therefore the principal deposited is $146.39

ANSWER:

$146.39