IB Maths AA SL AA 1.2 Exponents and logarithms questions

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Question 1

Paper 2, calculatorMedium6 marks

Two account balances, in dollars, are modelled for $t\geq 0$ years after opening by

A(t)=240(1.04)^t,\qquad B(t)=300(1.025)^t.

(a)

Determine the time, in years, at which the two modelled balances are equal. Give your answer correct to two decimal places.

[4]

(b)

Hence determine the first whole number of years after opening at which $A(t)>B(t)$

[2]

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