Answer:
x = -5
Step-by-step explanation:
-3 - 3x = -4( 2x + 7 )
Distributive property
-4 * 2x - 4 * 7
-3 - 3x = -8x - 28
Add 3 on both sides
-3 + 3 - 3x = -8x - 28 + 3
-3x = -8x - 25
Add 8x on both sides
-3x + 8x = -8x + 8x - 25
5x = -25
Divide by 5 on both sides to isolate the variable
5x/5 = -25/5
x = -5
Hope this helped!
have a supercalifragilsticexpialidocious day!
Answer:
(M)_a = -8171 lb-ft
Step-by-step explanation:
Step 1:
- We will first mark each weight from left most to right most.
Point: Weight: Moment arm r_a
G_3 W_g3 = 169 30*Cos(75) + 4.25
G_2 W_g2 = 220 30*Cos(75) + 2.5
G_1 W_g1 = 1500 10*cos(75)
Step 2:
- Set up a sum of moments about pivot point A, the expression would be as follows:
(M)_a = -W_g3*(30cos(75) + 4.25) - W_g2*(30*Cos(75) + 2.5) - W_g1*10*cos(75)
Step 3:
- Plug in the values and solve for (M)_b, as follows:
(M)_a = -169*(30cos(75) + 4.25) - 220*(30*Cos(75) + 2.5) - 1500*10*cos(75)
(M)_a = -2030.462559 -2258.205698 - 3882.285677
(M)_a = -8171 lb-ft
Nper = 11*2 = 22 (indicates the period over which interest payments are made)
PMT = 1000*10.3%*1/2 = 51.5 (indicates sem-annual interest payments)
PV = 1000*95% = 950 (indicates the current selling price of the bonds)
FV = 1000 (indicates the face value of bonds)
Rate = ? (Indicates YTM)
YTM = Rate(Nper,PMT,PV,FV)*2 = Rate(22,51.5,-950,1000)*2 = 11.098% or 11.10%
Answer is 11.098% or 11.10%.
Answer:
A line
Step-by-step explanation:
A line is one dimensional
A line has a set of points
A line has no beginning or end, only length
we know that
Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph
So
in this problem
substitute the values in the formula above
Divide by 
both numerator and denominator
therefore
the answer is
