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Exponentials and Logarithms

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Question 158

Michael's car is valued after 2 years and after 5 years. V=Ae−ktV = Ae^{-kt}V=Ae−kt.

Time (years)25
Value (£)4720029200
a.

Explain what the value of A A\,A represents.

[1]
b.

Show that ln⁡V=ln⁡A−kt\ln V = \ln A - ktlnV=lnA−kt

[1]
c.

Calculate the value of A A\,A and the value of kkk

[4]
d.

Use the model to predict the value of the car after 10 years.

[2]
Markscheme

Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.

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