Comment on Activity 1
At the end of one year, you will have the original `\$300` and, in addition, `\$300 times 0.01` (or `3.3`) dollars. That is, your balance will grow by `\$3.30` to become `\$300 + 3.3 = \$303.30 text(.)`
At the end of two years, your interest will be `\$303.30 times 0.011` (or `\$3.34`), so your new balance will be `\$303.30 + 3.34 = \$306.64 text(.)`
At the end of three years, your interest will be `\$306.64 times 0.011 = \$3.37 text(,)` and your new balance will be `\$306.64 + 3.37 = \$310.01 text(.)`
The growth (interest) each year is the same number as the rate of growth — because the time step `Delta t` is `1` year. For the second year the ratio of the rate of growth to the starting balance is `3.34//303.30 = 0.011` , i.e., the rate of growth is proportional to the beginning balance, with proportionality constant `0.011 text(.)` The same is true for each of the other years.