(a) If the total amount of a resource available is $$10 ^ { 10 } \mathrm {~kg} ,$$ calculate its
lifetime if the rate of use is constant at $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$.
(b) Repeat part (a) if the initial rate of use is $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and this increases at an annual rate of $5 \%$.
(c) Repeat part (b) for an initial rate of $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and an increase of $10 \%$ per year.

Question

(a) If the total amount of a resource available is $$10 ^ { 10 } \mathrm {~kg} ,$$ calculate its 
lifetime if the rate of use is constant at $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$.
(b) Repeat part (a) if the initial rate of use is $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and this increases at an annual rate of $5 \%$.
(c) Repeat part (b) for an initial rate of $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and an increase of $10 \%$ per year.

Quizplus · Accepted Answer

The Answer of (a) If the total amount of a resource available is $$10 ^ { 10 } \mathrm {~kg} ,$$ calculate its 
lifetime if the rate of use is constant at $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$.
(b) Repeat part (a) if the initial rate of use is $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and this increases at an annual rate of $5 \%$.
(c) Repeat part (b) for an initial rate of $10 ^ { 8 } \mathrm {~kg} / \mathrm { y }$ and an increase of $10 \%$ per year.

(A) If the Total Amount of a Resource Available Is 1010 kg,10 ^ { 10 } \mathrm {~kg} ,1010 kg,

(A) If the Total Amount of a Resource Available Is $10 ^ { 10 } \mathrm {~kg} ,$