Answer:
Deal A) 90% Profit ; Deal B) 60% Profit
Step-by-step explanation:
Multiple ways of solving this problem here is one way:
100k-10k = 90k(Revenue) : Then you make this as a percent by 100k then multiply it by 100.
100*((100,000-10,000)/100,000) = 90%
The same is true for the other equation:
100*((50,000-20,000)/50,000) = 60%
Answer:
Step-by-step explanation:
150/x=sin 15
x=150/sin 15 ≈579.56 m
Answer:
See the solutions below
Step-by-step explanation:
Given data
Distance = 24.6km
in meters= 24.6*1000= 24600m
time= 30 minutes
in seconds= 30*60= 1800
int hours= 0.5 hour
speed of the particle in
(i) km/h= 24.6/0.5= 49.2 km/h
(ii) m/s.= 24600/ 1800= 13.66 m/s
Answer:
- reflection across line m
- rotation about point A'
Step-by-step explanation:
The problem statement tells you exactly what the transformations are.
The first transformation is reflection across line m.
The second transformation is rotation about point A'.
_____
These are both rigid transformations, so ΔABC ≅ A'B''C''.
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
