Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.

Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.

= 0.032
Put in the formula


Therefore the decrease in the population of the city after t years is represented by
Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem:
- Alberto’s monthly income is $3,200, hence b = 3200.
- He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.
Then, the percentage is given by:

More can be learned about the percentage concept at brainly.com/question/10491646
The answer is 6 appointments are cancelled each day
Answer:
9 and 41 over 51
Step-by-step explanation:
divide 41 2/3 by 4 1/4