Ian lives 16 1/2 miles from Zion National park. His Grandmother lives 3/4 of the way to the park from Ian's home. How far from Ian does his grandmother live?

12.375 miles

Step-by-step explanation:

The distance between Ian's house and the park is 16 1/2 miles or 16.5 miles. His grandmother lives 3/4 of the way between Ian's house and the park. We need to know what is the 3/4 of such distance. Lets say Ian's house is at mile 0 and the park is at mile 16.5 in a distance line.

We can find the position of his grandma's house by multiplying such distance by 3/4 or 0.75, which is equivalent:

grandma = 16.5 * 0.75 = 12.375

So, on our distance line her grandma is at the position mile 12.375.

As Ian is at the mile 0 and his grandma's house is at 12.375 miles away from Ian's house.

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

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