Usual limit of sin is sinX/X--->1, when X--->0
sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x= [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
=(sin3x / 3x) . (3/5x^2- 4)
finally lim sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
x----->0 x---->0
12(months) x 20 (years) = 240
10.98 x 240 = 2635.20
So Arthur will pay $2635.20 over 20 years for premium.
I hope this helps :)
Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.
<h3>What is the union of events J and K?</h3>
It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.
<h3>What is the complement?</h3>
The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:
15 + x = 58
x = 43.
The number of outcomes that are possible for the complement of the union of Events J and K is of 43.
More can be learned about complementary events at brainly.com/question/9752956
For proportions just cross multiply.
8(y+2)=44
8y+16=44
8y=28
y=28/8
You need to find the midpoint of the line. To get x coordinate you take (x1 + x2)/2 which is (-3+-7)/2 = -10/2 = -5. Same thing applies for y.
