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1.6 Exponentials and logarithms

1.6 Exponentials and logarithms

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Question 50

An automated trading algorithm is monitoring the growth of a digital asset portfolio. The value of the portfolio, VVV pounds, at time ttt weeks after the algorithm was activated is modelled by the equation

log⁡10V=1.94+0.12t \log_{10} V = 1.94 + 0.12t log10​V=1.94+0.12t
a.

Write this equation in the form V=abtV = ab^tV=abt, where aaa and bbb are constants to be found. Give each value to 4 significant figures.

[3]
b.

When t=Tt = Tt=T, the value of the portfolio is £4000. Find the value of TTT according to the model, giving your answer to 3 significant figures.

[3]
c.

The algorithm is programmed to trigger a 'rebalance' alert if the portfolio value exceeds £5000. Determine whether or not the portfolio will require a rebalance within the first 14 weeks.

[2]
Markscheme

1.6 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and logarithms

104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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