The mass of a substance is increasing exponentially. Initially its mass is 37.5g, 5 months later its mass is 52g. What is its mass 9 months after the initial value to 2 d.p?

M=37.5ekt 52=37.5ek5 52/37.5=e5k ln(52/37.5)=5k (1/5)(ln(52/37.5))=k k≈0.06538 when t=9, M=37.5e9*0.06538 M=67.54

RR
Answered by Riccardo R. Maths tutor

4009 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary points of the function f(x) = x^3 - 27x and determine whether they are maxima or minima


Find the stationary points on y = x^3 + 3x^2 + 4 and identify whether these are maximum or minimum points.


Show, by counter-example, that the statement "If cos(a) = cos(b) then sin(a) = sin(b)" is false.


By writing tan x as sin x cos x , use the quotient rule to show that d dx ðtan xÞ ¼ sec2 x .


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences