<span>v = 4/3*pi*r^3
derivating both sides with respect to t
dv/dt = 4*pi*r^2*dr/dt
when d = 1.7, r = 0.85, and dv/dt = 2:
2 = 4*pi*(0.85)^2*dr/dt
thus
dr/dt = 1/(2pi*(0.85)^2)
=1/(2*3.14*0.85^2)
=0.22</span><span />
If 10% are part-time workers, then 90% are full time
0.90(40) = 36 full time <==
Answer:
3160
Step-by-step explanation:
3.16 x 10^3
10^3 = 1000
so you move the decimal point three times to the right
I hope this helps
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).
Answer:
$1,823.2
Step-by-step explanation:
Simple interest is calculated using the formula
I = P X R X T
where I is the interest amount
P is the principal amount: 45,580.
R is the interest rate which is 4 %, or 0.04%
T is time, One year.
I = $45,580 x 0.04 x 1
I = $1,823.2 x 1
I = $1,823.2
