Bece Model Questions Vol1 2022 Mathematics Question 9

Practice essay / theory question 9 from the 2022 Bece Model Questions Vol1 Mathematics examination. This question covers Indices .

Bece Model Questions Vol1 2022 Mathematics Essay / Theory

Topic: Indices

Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

In a certain experiment the quantity of a substance after t minutes is given by \(N = 2^{t}\,\times\,5^{k-t}\), where \(k\) is a constant. It is observed that when \(t = 2\) minutes the quantity is \(N = 2500\).

Question Parts

( a )

Determine the value of the constant \(k\).

( b )

Using the value of \(k\) found in part (a), find the smallest positive integer value of \(t\) greater than 2 for which \(N\) is a perfect square.

( c )

For the value of \(t\) obtained in part (b), evaluate \(\log_{10} N\) (give your answer correct to two decimal places).

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About This Question

This is Bece Model Questions Vol1 2022 Mathematics Question 9. It is one of the essay questions from the 2022 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices .

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