There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:

A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)

Question

Mathematics

Frankie Fritz

14 December, 21:02

There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:

A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)

+3

Answers (1)

Know the Answer?

Kenzie Hunt · Answer 1

0.1187

Step-by-step explanation:

A = P (1 + k) ^t

where A is the final amount,

P is the initial amount,

k is the monthly growth rate,

and t is the number of months.

70 = 50 (1 + k) ^3

1.4 = (1 + k) ^3

∛1.4 = 1 + k

k = - 1 + ∛1.4

k = 0.1187

There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)

There were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:

A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)