Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
Answer:
30%
Step-by-step explanation:
You add the total number of balls, which is 10. and then it is asking for brown balls and looking at the equation you know there are 3. so 3/10 is .30 which is 30%
We have to convert 2% in to a decimal then multiply it into the x-value which is the months with the addition of 500 because that is the start value.If you were to graph this it would be a linear fuction, y=0.2x+500. The rate of change is found by slope, so rise over run. taking 2 points on the graph and do this
(y 2-y 1)/(x 2-x 1) and graph the equation and get two of the points and find the slope for the rate of change.
The fundamental difference between the linear and quadratic functions is observed in their respective graphs. A linear function is represented by a straight line and a quadratic function is represented by a curve called a parabola.
See file attached.