An ion’s position vector is initially LaTeX: \vec{r} = 5.0 \hat i - 6.0 \hat j + 2.0 \hat k, r → = 5.0 i ^ − 6.0 j ^ + 2.0 k ^ , and LaTeX: 10\:\text{s}10 s later it is LaTeX: \vec{r} = -2.0 \hat i + 8.0 \hat j - 2.0 \hat k, r → = − 2.0 i ^ + 8.0 j ^ − 2.0 k ^ , all in meters. In unit vector notation, what is its LaTeX: \vec{v}_{avg}v → a v g during the LaTeX: 10\:\text{s}10 s?

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.