Answer:
40
Step-by-step explanation:
We have an original price p
We mark them up by 50%
p + p*50%
Changing to decimal form
p+.50p = 1.5p
The new price is 60 dollars
1.5p = 60
Divide each side by 1.5
1.5p/1.5 = 60/1.5
p =40
The original price is 40
The answer for this problem would be 7x+6
Let's solve this problem step-by-step.
4x−3+3x+9
=4x+−3+3x+9
Step 1: Combine Like Terms.
=4x+−3+3x+9
=(4x+3x)+(−3+9)
So, the answer for this problem would be 7x+6.
2/3, 4/5, 1/8 is the correct order from greatest to least.
When they leave home, odometer reads 12,544.....when they arrive in Winterton, the odometer reads 12,671.....this means they have already driven (12,671 - 12,544) = 127 miles.....and now they have 48 more miles to go......so the trip to Sandy Shores from Summerville is (127 + 48) = 175 miles
Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
