Answer: 1) Let's simplify step-by-step.
x22(x+y)−y2
Distribute:
=(x22)(x)+(x22)(y)+−y2
=x23+x22y+−y2
Answer:
=x23+x22y−y2
2)Let's simplify step-by-step.
x4+x2y2+y4
There are no like terms.
Answer:
=x4+x2y2+y4
The equation is given to us in slope intercept form. -34.85 is the slope and the y-intercept is 938.
Therefore, we can say:
The rate of change for the line of best fit is -34.85 which represents the decrease in number of available apartments per week since the complex opened.
The y-intercept is 938 which represents the number of apartments when it first opened.
Kate paid $25.39 for her purchases.
Kate will receive $24.61 in change.
Step-by-step explanation:
Given,
Cost of t-shirt = $12.95
Cost of pair of shorts = $10.95
Total = cost of t-shirt + cost of pair of shorts
Total = 12.95 + 10.95 = $23.90
Sales tax = 6.25% of total amount
Amount of sales tax = 
Amount of sales tax= $1.49
Total amount with sales tax = 23.90 + 1.49 = $25.39
Kate paid $25.39 for her purchases.
Amount paid = $50
Change received = Amount paid - Bill amount
Change received = 50 - 25.39 = $24.61
Kate will receive $24.61 in change.
Keywords: sales tax, addition
Learn more about addition at:
#LearnwithBrainly
You can see how this works by thinking through what's going on.
In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97
What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.
So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.
So the population after x years is 1200 * 0.97x
