roberto got $30 for his birthday. he decides to save that
amount and add $5 to his savings each week. jack starts
saving the same day as roberto and puts $8 in his
savings each week. after how many weeks will the boys
have the same amount in savings?

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Solve 2^x=32 and rewrite this equation in a logarithmic form