Immigration et croissance géométrique : étude de cas

Read the following data regarding immigration flows: at the peak of Ellis Island in $1907$, approximately $1,004,756$ immigrants arrived. Consider a sub-group from Eastern Europe starting with $P_0 = 150,000$ in $1900$. The population of this group follows a geometric growth model $P_n = P_0 \times r^n$, where $r = 1.05$ is the annual growth factor and $n$ is the number of years since $1900$. Calculate the exact value of $P_7$ for the year $1907$ using the formula. Furthermore, write a short analytical paragraph (in English) discussing why the 'Memory of Migration' is a pillar of American identity, using at least two advanced linking words (e.g., 'notwithstanding', 'furthermore').