Answer: Yes
Step-by-step explanation:
From the question, we are informed that a survey was conducted of 880 college students attending the same university and that they were offered a list of 10 different internet service providers and were asked to select the one they prefer.
Basee on this information, if everyone selected equal numbers, each service provider will get (880 / 10 = 88 students). In this case, if someone has 89 votes, this means that another person will get 87 votes while the remaining 8 service providers gets 88 students each. Therefore, the device provider with 89 votes can come out on top.
Answer:
The modulus of the complex number 6-2i is:
Step-by-step explanation:
Given the number
We know that
where x and y are real and 
The modulus or absolute value of z is:
Therefore, the modulus of will be:
Therefore, the modulus of the complex number 6-2i is:
40% are boys. divide 2 by 5 and then multiply by 100
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food
$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.
= 4 bags of cat food
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
