An amount of $2500 is invested at a simple interest rate of 3% per annum - HSC - SSCE Mathematics Standard - Question 3 - 2023 - Paper 1
Question 3
An amount of $2500 is invested at a simple interest rate of 3% per annum.
How much interest is earned in the first two years?
A. $75
B. $150
C. $2575
D. $2625
Worked Solution & Example Answer:An amount of $2500 is invested at a simple interest rate of 3% per annum - HSC - SSCE Mathematics Standard - Question 3 - 2023 - Paper 1
Step 1
Calculate the interest earned using the simple interest formula
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Answer
The formula for simple interest is given by:
I=Pimesrimest
where:
I is the interest earned,
P is the principal amount ($2500),
r is the rate of interest per annum (3% or 0.03), and
t is the time in years (2 years).
Substituting the values, we get:
I=2500imes0.03imes2
Calculating this gives:
I=2500imes0.06=150
Step 2
Select the correct answer from the options
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Answer
The interest earned in the first two years is 150,thereforethecorrectanswerisB.150.