Eq. of any circle having center at (a,b) and radius r is give as:
(x-a)^2 + (y-b)^2 = r^2
For the given question (a,b) = (-6,3) and r = 5
Therefore, equation is
(x+6)^2 + (y-3)^2 = 5^2
(x+6)^2 + (y-3)^2 = 25
SI=(P*R*T)/100
P=2000
R=1.5
T=6
SI=(2000*1.5*6)/100
=(2000*9)/100
=180
Neil will earn interest of 180
The solution is in the following image
y=2x+15
where y=Value of coin
x=Age in years
Value of coin after 19 years=2*19+15
=$53
Therefore, Value after 19 years=$53
The answer is in the image
F=ma
where F=force
m=mass
a=acceleration
Here,
F=4300
a=3.3m/s2
m=F/a
=4300/3.3
=1303.03kg
Speed=Distance/time
distance=15m
time=1sec
speed=15/1=15m/sec
Distance=Speed*time
time=15min=15*60sec=900sec
Distance travelled in 15 min=15*900=13,500m
=13500/1000 km=13.5Km
The wood before starting =12 feet
Left wood=6 feet
Wood used till now=12-6=6 feet
Picture frame built till now= 6/(3/4)
=8 pieces
Therefore, till now 8 pieces have been made.
tip=18% of 75.45
=18/100 * 75.45 = $13.581
Tip = $13.581
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