$$N$($t$)$equals

$$

Upper N $0$ e Superscript kt

$($Type an expression using t as the variable and in terms of e$.)$

Part $2$

$($b$)$ The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are $1000$ mosquitoes initially and there are $1400$ after $1$ day, what is the size of the colony after $2$days$?$