Because she did the math :)
Answer:
Logan ate his vegetables, so he can have a bowl of icecream.
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)
Answer:
Step-by-step explanation:
It is assumed the interest is simple.
<u>Use the interest formula:</u>
<u>We have:</u>
- I = 13200
- P = 24000
- r = 11% = 0.11
<u>Substitute values and solve for t:</u>
- 13200 = 24000*0.11t
- 13200 = 2640t
- t = 13200/2640
- t = 5 years
