Answer:
44,286
Step-by-step explanation:
The rule is multiplying by -3.
The sequence goes -3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049
Add all of those up and you get 44,286
Answer:
The measure of the angles in degree is 57.5 degrees
Step-by-step explanation:
If two angles are congruent, they are equal in value
Let the number be x
2x + 3 = 3x-54.5
Thus;
3x-2x = 54.5 + 3
x = 57.5
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Given the points A and B
The coordinates of point A = ( 3 , 1 )
The coordinates of point B = (-1 , -1)
The midpoint of AB, is the point C
C will be calculated as following :
so, the midpoint of AB = (1 , 0 )
I believe it would be any number that is within the darkest shaded area. (-4,1) seems like it would be correct.
