Answer:
yes the solution is 8
Step-by-step explanation:
subtract 9 from both sides
1/2x+9-9=13-9
simplify
1/2x=4
multiply both sides by 2
2 x 1/2=4 x 2
simplify
x=8
Remark
I like to work from the original equation.
Givens
T = 2.2 seconds
pi = 3.14
L = ??
Substitute and Solve
T = 2*pi*sqrt(L/32) Find the value of 2*pi
2.2 = 2*3.14* sqrt(L/32)
2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28
2.2/6.28 = sqrt(L/32)
0.35032 = sqrt(L/32) Square both sides.
0.122723 = L/32 Multiply both sides by 32
0.122723 * 32 = L
L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.
Answer:
(-6,-3)
Step-by-step explanation:
go do to -6 then over to -3
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
