Answer:
$371
Explanation:
The computation of additional interest during the fourth year is shown below:
but before that we need to do the following calculations
Amount = Principal × (1 + (rate of interest ÷ (1 × 100)))^(1 × number of years)
A = $5,000 × (1 + (6.7% ÷ (1 × 100)))^(1 × 3)
= $5,000 × (1 + (6.7 ÷ 100))^(1 × 3)
= $5,000 × (1 + 0.067)^3
= $5,000 × (1.067)^3
= 5000 × 1.214
= $6,070
Now, Interest gained after 3 years on the amount of Principal is
= $6,070 - $5,000
= $1,070
Here Evelyn issued interest which is half that is earned at the end of the 3rd year
Sp,
Half of the interest gained will be
= $1,070 ÷ 2
= $535
Now,
The new Principal amount for 4th year is
= $6,070 - $535
= $5,535
So, the final amount in the fourth year is
A = P × (1 + (r ÷ n))^(nt)
= $5,535 × (1 + 0.067 ÷ 1 ]^(1 × 1)
= $5,535 × 1.067
= $5.905.845
Hence the additional interest in the fourth year is
= $5,905.845 - $5,535
= $370.845
or
= $371
Therefore for computing the additional interest during the fourth year we simply applied the above formula.
