Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
It changed by $.04 in 4 years.
$.04 / 4 = $.01
The stamp changed by 1 cent/year
200 * 0.15 = $30 off
200-30 = $170
Nancy must pay $170
Answer:
Step-by-step explanation:
To find the slope of the given line, slope is the rise divided by the run of a line.
Slope = 
Picking points (4, 18) and (8, 12)
Now;
x₁ = 4
y₁ = 18
x₂ = 8
y₂ = 12
Slope = 
= 
=
Hey there,
The answer is c
hope this helps
