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Elenna [48]
4 years ago
15

Nelson took out a home loan that compounds interest semiannually. The following expression represents the payable amount after t

years.
150,000(1.102)^2t
What is the annual rate of interest for this situation?

A. 0.6%
B. 2.4%
C. 1.2%
D. 0.06%
Mathematics
1 answer:
chubhunter [2.5K]4 years ago
5 0
Given that <span>Nelson took out a home loan that compounds interest semiannually, and the following expression represents the payable amount after t years.
150,000(1.102)^2t
which follow the formal for compound interest given by:
A=P(1+r/n)^tn
where:
A=future amount
P=principle
r=rate
n=number of terms
t=time
in our example:
</span>1+r/n=1.012
this implies that:
r/n=0.012
number of terms=2 (it's semiannual)
thus
r/(2)=0.012
hence
r=0.012*2
r=0.024
hene
thus the answer is:
r=0.024~2.4%



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