2026 NCHS P2 Q5

2026 NCHS P2 Q5

Secondary 4
6 marks
  1. Write \(\dfrac{4^{0.5}+4^{0.5}}{4^{211}\times4^{212}}\) as a single power of 2.[2]
  2. A bank which offers an annual simple interest rate, \(r\%\), advertises the following.
    “Double your investment with us in 20 years!”
    1. Find the value of \(r\) if the bank’s advertisement is true.[2]
    2. Using the value of r in (b)(i), calculate the amount of interest earned at the end of 10 years if $28 000 was invested.[2]

Solution:

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Answer:(a) \(2^{-844}\) (b)(i) \(5\) (ii) \(\$14\,000\).

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