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Verified Answer :

A=p(1+i/m)^mn
A=734×(1+0.1÷2)^(2×5)=1,195.61
Then calculate the interest
I=A-p
I=1,195.61−734=461.61

Answer:

The amount of interest would be $ 461.61.

Step-by-step explanation:

The amount that is compounded semiannually is,

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Where, P is the principal amount,

r is the annual rate of interest,

t is the time ( in years ),

Here, P = $ 734,

r = 10 % = 0.10,

t = 5 years,

Thus, his balance after 5 years,

\(A=734(1+\frac{0.1}{2})^{10}\)

\(=\$ 1195.60865605\approx \$ 1195.61\)

Hence, the amount of interest would be,

\(I=A-P\)

\(= \$ 1195.61-\$ 734\)

\(=\$ 461.61\)