Ginoni the goat is at the bottom of a series of 7 boulders, each higher than the last. She wants
to reach the top, where there is a huge patch of
grass that she’d like to graze. Being an athletic
goat, she sometimes bounds up two boulders at
a time; otherwise, she just jumps up one.

Ginoni can use both one-boulder and two-
boulder leaps within an ascent.

Starting at the bottom, in how many ways could
she reach the grass at the top?
Investigate what happens for different numbers
of boulders and explain the pattern of how many
different ways she can ascend.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Aaron invested a total of $4,100, some in an account earning 8% simple interest, and the rest in an account earning 5% simple interest. how much did he invest in each account if after one year he earned $211 in interest? select one: a. $200 at 8%, $3,900 at 5% b. $3,200 at 8%, $900 at 5% c. $900 at 8%, $3,200 at 5% d. $3,900 at 8%, $200 at 5%

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.