Answer:
$10
Step-by-step explanation:
cost of one month of game play = x
1(35) + 3x + 2(35) + 5x = 185
35 + 70 + 8x = 185
105 + 8x = 185
-105 -105
8x = 80
/8. /8
x =10
Answer: 113, 57, and 66
Step-by-step explanation:
The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
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
Answer:
47.1 cm
Step-by-step explanation:
<u>The formula for finding circumference is πd. So, plug in the given values and simplify the expression:</u>
d = 15
π = 3.14
15 × 3.14 = 47.1
<u>The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be </u><u>47.1 cm</u><u>.</u>
Answer:
(-9.5,1,7)
Step-by-step explanation:
