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An amount of $2500 is invested at a simple interest rate of 3% per annum - HSC - SSCE Mathematics Standard - Question 3 - 2023 - Paper 1

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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=PimesrimestI = P imes r imes t

where:

  • II is the interest earned,
  • PP is the principal amount ($2500),
  • rr is the rate of interest per annum (3% or 0.03), and
  • tt is the time in years (2 years).

Substituting the values, we get:

I=2500imes0.03imes2I = 2500 imes 0.03 imes 2

Calculating this gives:

I=2500imes0.06=150I = 2500 imes 0.06 = 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, therefore the correct answer is B. 150.

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