Answer: $12000 was invested at 7% while $8000 was invested at 9%.
Step-by-step explanation:
Based on the information given in the question, let the amount that was invested at 7% be n.
Therefore,
0.07n + 0.09(20000 - n) = 1560
0.07n + 1800 - 0.09n = 1560
-0.02n = 1560 - 1800
-0.02n = -240
n = 240/0.02
n = 120
Therefore, $12000 was invested at 7% while $8000 was invested at 9%.
Those are vertical angles,so they are equal
150=5m
m=150/5
m=30
Answer:
and 
Step-by-step explanation:
we have the coordinates
A(2,7),B(2,2),C(7,6)
we know that
The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC
The formula to calculate the midpoint between two points is equal to

step 1
Find the mid point AC
we have
A(2,7),C(7,6)
substitute in the formula


step 2
Find the mid point BC
we have
B(2,2),C(7,6)
substitute in the formula


therefore
The endpoints of the mid segment of triangle ABC that is parallel to line AB are
and 
From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13
So we have the answer <span>{(11/13, -17/13)}</span>
The answer is 7 - 7.5
you multiply 5 and 3 and get 15 then divide by 2