The value of an investment is modeled by the equation \( A = P e^{rt} \), where \( P \) is the principal amount, \( r \) is the annual interest rate, and \( t \) is the time in years. Given that \( P = 1000 \), \( r = 0.05 \), and \( t = 10 \), find the total amount \( A \).

laptop has a listed price of \( \$ 520.99 \) before tax. If the sales tax rate is \( 6.75 \% \), find the total cost of the laptop with sales tax included. ound your answer to the nearest cent, as necessary. \$ \( \square \)

How much money must you invest now at \( 4.2 \% \) interest compounded continuously in order to have \( \$ 10,000 \) at the end of 4 years? You must invest \( \$ \square \). (Round to the nearest cent as needed.)

A farm purchased in 2000 for \( \$ 1 \) million was valued at \( \$ 3 \) million in 2008. If the farm continues to appreciate at the same rate (with continuous compounding), when will it be worth \( \$ 14 \) million? Find a function \( \mathrm{A}(\mathrm{t}) \) that gives the current value of the farm. \( \mathrm{A}(\mathrm{t})=\square \) (Type an exact answer.)

camera has a listed price of \( \$ 779.98 \) before tax. If the sales tax rate is \( 9.75 \% \), find the total cost of the camera with sales tax included Round your answer to the nearest cent, as necessary. \$ \( \square \)

\begin{tabular}{ll|l|}\hline A. UNA SERIE DE PAGOS MESUALES SE INICIA HOY CON UN AHORRO DE \( \$ 50.000 \) EN EL MES 1 DE \( \$ 60.000 \), EN \\ EL MES \( 2 \$ 70.000 \) Y ASI SUCESIVAMENIE HASTA LLEGAR A EL MES 23. PARA UNA TASA DE INTERES DEL \( 32 \% \) \\ \hline\end{tabular}