Exponential Growth and Decay - Questions

Question 1
16264

The number of rabbits in a colony is given by \(N=80{(1.04)^t}\), where \(t\) is in days. How many rabbits were initially in the colony?

\(80\)

Question 2
59899

A house purchased for \(\$600000\) is expected to grow at \(8\%\) per year. What would the house be worth after 10 years?

\(\$1295355\)

Question 3
59900

A car is bought for \(\$50000\), it decreases in value by \(12\%\)p.a. What is the cars value after 4 years?

\(\$29984.77\)

Question 4
59901

A painting was bought for \(\$5000\). In 2 years, the painting was worth \(\$6000\). What was the growth rate?

9.5% p.a

Question 5
59902

A \(10000~\text{L}\) tank is leaking at 5% per hour. How long will it take for the tank to be half full? 

13.5 hours