Answer:
(a).y=5z+x
this isn't a problem, just flip x to the other side
so x = 5z-y
(b). b=x/2a
cross multiply
x = b×2a
x= 2ab
c.8d=cx
divide both sides by c
8d/c=cx/c
x=8d/c
d.3px=12q
divide both sides by 3p
3px/3p=12q/3p
x=12p/3q
e. 4x=m/3-n
cross multiply
4x × 3 = m-n
12x = m-n
divide both sides by 12
12x/12=m-n/12
x = m-n/12
Answer:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
Step-by-step explanation:
Compound interest is given by
A= P( 1 + r/n)^n*t
A= Final amount
P = initial amount = 6000
r = interest rate = 9% = 0.09
n = number of times interest applied per time period
t = number of time periods elapsed
(1) Compounded annually
n = 1 , t = 8
A = 6000( 1+ 0.09/1) ^1*8
A = 6000( 1.09) ^8 = $11955.38
(2) compounded quarterly
n = 4 , t = 8
A = 6000( 1+ 0.09/4) ^4*8
= 6000( 1.0225)^32 = $12228.62
(3) compounded monthly
n = 12 , t = 8
A = 6000( 1+0.09/12)^12*8 = $12293.527
(4) compounded continuously
A = P* e^rt
r = 0.09 , t = 8
= 6000* e^0.09*8
= 6000* e^0.72 = $12326.6
Answer:
Step-by-step explanation:
Remark
By corresponding angles and vertical angles, these two angles are equal.
Equation
-1 + 14x = 12x + 17 Subtract 12x from both sides
Solution
-1 + 14x - 12x = 12x - 12x + 17
-1 + 2x = 17 Add 1 to both sides
-1+1 + 2x = 17 + 1
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
If its on a graph just look for the spot where the line meets the y and x-axis
Answer:
(-1.5,0) (0,0.5)
Step-by-step explanation:
I graphed it
