Suppose you deposit 900 dollars into a bank with 5% simple interest. The amount in the account after t years is given by A(t)=900(1.05)t (in dollars). 1. What is the average rate of change for the first year? Rate (in dollars per year): 900(1.05)-900
2. What is the average rate of change for the first five years? Rate (in dollars per year):
3. What is the average rate of change for the first ten years? Rate (in dollars per year):
4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?

1. 45 dollars per year.

2. 49.73 dollars per year.

3. 56.6 dollars per year.

4. Increases

Step-by-step explanation:

Average rate of change

The average rate of change of a function over an interval [a,b] is given by:

In this question, we have that:

1. What is the average rate of change for the first year?

So

45 dollars per year.

2. What is the average rate of change for the first five years?

49.73 dollars per year.

3. What is the average rate of change for the first ten years?

56.6 dollars per year.

4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?

From the previous items, it increases.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies