Find all points of intersection of the given curves. (assume 0 ≤ θ < 2π and r ≥ 0. order your answers from smallest to largest θ. if an intersection occurs at the pole, enter pole in the first answer blank.) r = sin(θ), r = sin(2θ)

Step-by-step explanation:

The given system of polar equations are:

We equate both equations to get:

We rewrite to get:

Apply the double angle property to get:

Factor now to get:

Hence

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5