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

4534 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the equation 7^(x+1) = 3^(x+2)


Find the integral of (x+4)/x(2-x) .dx


A curve has equation y = 20x -x^(2) - 2x^(3). The curve has a stationary point at the point M where x = −2. Find the x coordinates of the other stationary point.


Find the integral of xcos(2x) with respect to x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning