Answer:
y = 2x
Step-by-step explanation:
1. attendee = x
2. cost = y
3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result
4. Thus, y = 2x
No. which have factors 2 & 5 have 2 & 5 as their prime factor
therefore, No. are :
2*5 = 10
2*5*2 = 20
2*5*3 = 30
Y=-6-x is not equal to 2x+y=12. Both sides were not divided by two when it was simplified.
Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :

b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

Hence , this is the required solution .
Answer:
The population would be 3358
Step-by-step explanation:
Since, exponential growth function if the growth is compound continuously,

Where,
P = initial population,
r = growth rate per period,
t = number of periods,
Given,
The population in 2000, P = 2,400,
Growth rate per year = 1.68% = 0.0168,
Number of years from 2000 to 2020, t = 20,
Thus, the population in 2020,



