Answer:
* 60 -$60 <- answer
* 45- $45 <- answer
94.5- $94.50 <- answer
Step-by-step explanation:
40%= 0.4 ×150=60
30%=0.3×150=45
60 +45= 105
(105*10)/100= 10.50
105-10.50=$94.50 <- answer
Answer:
(c) 2.034 s; (d) 8.944 cm
Step-by-step explanation:
Velocity and acceleration
s = 8cos(t) + 4sin(t)
v = -8sin(t) + 4cos(t)
a = -8cos(t) + 4sin(t)
(c) Time to first equilibrium position
The equilibrium position is where the mass hangs before it is pulled downward, that is, at s = 0.
Set s = 0 and solve for t.
If n = 1,
t = -1.107 + π = 2.034 s
(d) Distance from equilibrium position
The mass will reach its maximum distance when v = 0, that is, when it is at the peak or trough of its oscillation.
Set v = 0 and solve for t.
If n = 0,
t = 0.4636
Then
s = 8cos(0.4636) + 4sin(0.4636) = 8×0.8944 + 4×0.4472 = 7.156 + 1.789 = 8.944 cm
The figure below shows the graphs of s and v vs t. They indicate that the mass first reaches its equilibrium position at 2.034 s, and the amplitude of its vibration is 8.944 cm.
The disposable income increases by $100, this means aggregate consumption will increase by $75 and autonomous consumption remains at $1000.
We are given the following in the question:
C(Y D )= 1000+0.75 YD
where C is the consumption and YD is the disposable income.
If the disposable income increases by $100, then we can write
C( Y D +100 ) - C(Y D) = 1000+ 0.75(Y D+100)- (1000 + 0.75 Y D)
C( Y D +100 ) - C(Y D)= 75
Thus, the aggregate consumption will increase by $75.
Autonomous consumption is the consumption when customer makes no disposable income.
Thus, we put YD = 0
C(0) = 1000+ 0.75(0)
C(0)= 1000
Thus, the autonomous consumption is $1000.
The disposable income increases by $100, this means aggregate consumption will increase by $75 and autonomous consumption remains at $1000.
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Answer: 25%
Step-by-step explanation:
markup or gain is 5-4 = $1
% markup = 1/4 *100
=25℅