Answer:
The growth rate is 0.6
The growth factor is 1.6
Step-by-step explanation:
Generally, the exponential equation can be written as;
y = a(1 + r)^x
Where a is the initial value of 100
r is the growth rate
So let us form equations;
160 = 100(1 + r)^1 •••••(i)
Also;
256 = 100(1 + r)^2 •••••••(ii)
Divide equation ii by i
256/160 = 1 + r
1.6 = 1 + r
r = 1.6-1
r = 0.6
Answer:
1) The stars are not constant in their position.
2) No. The stars aren't in original position because of apparent movement of stars in the sky.
3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.
4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.
Answer:
1.84ft
Step-by-step explanation:
From the figure attached,
AB = Height of the window = 15ft
Let the distance between the base of the housr and the fence 'C' = xft
If the angle of depression = 7°
Then angle of elevation of the top of the fence from the house = 7°
Now from right triangle ABC,
tan7° = x/15
x = tan7°×15
x = 0.1227×15
x = 1.84ft
Therefore, distance of the house from the fence is 1.84ft
Answer with Step-by-step explanation:
The number of marbles are as under
3 red , 3 green , 1 Lavender total = 7
Now to select five marbles from a total of 7 marbles such that at least 2 marbles are included are the sum of the following cases:
1) We select 2 exactly 2 red marbles from 3 reds and the remaining 3 marbles are selected from 4 of other colours
Thus 
2)We select all the 3 red marbles and the remaining 2 are selected from the remaining 4 marbles

Thus the total number of ways are 
Answer:

Step-by-step explanation:


Simplified

