Answer:
x = 47
Step-by-step explanation:
3x - 2 + 41 = 180 {Supplementary}
3x + 39 = 180
3x = 180 - 39
3x = 141
x = 141/3
x = 47
Add all of the students who like the ice creams and subtract from 147 :)
Answer:
An equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form:
where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:

So, an equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
Answer:
Principal element is $475.43
Interest payment is $390
Step-by-step explanation:
The amount of interest paid in month one is 4%*$117,000*1/12=$390
The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12
The principal element of monthly payment is the monthly payment minus interest.
principal paid in month one=$865.43-$390=$475.43
Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan
6 is one of the six total sides on a dice.
P(6)=1/6
1 is one of the six total sides on a dice.
P(1)=1/6