Question 15 ( 2 points) A coal company invests \( € 12 \) million in a mine estimated to have 20 million tons of coal and no residual value. It is expected that the mine will be in operation for 5 years. In the first year, \( 1,000,000 \) tons of coal are extracted and sold. What is the depletion for the first year?

d the compound interest on \( ₹ 10000 \) at \( 5 \% \) p.a. for \( 2 \frac{1}{2} \) years, the interest payable ye

Suppose that \( \$ 10,970 \) is invested at an interest rate of \( 5.5 \% \) per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time \( t \), in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is \( \mathrm{P}(\mathrm{t})=10970 e^{0.055 t} \). (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is \( \$ 11,590.25 \). (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.)

Shoes - a -go held a back to school sale. Harry bought a pair of tennis shoes originally priced at \( \$ 75 \). He was given a \( 30 \% \) discount by the cashier Calculate the discounted price of the tennis shoes \( 15-22.5=52.50 \) Shoes were discounted from \( \$ 40 \) t\$ 26 Calculate the percentage saving on the original price of the shoes.

En una empresa, el índice de rentabilidad ( \( r \) ) de un proyecto está dado por: \[ r=5 \cdot \log \left(\frac{t}{i}\right) \] Donde \( i \) es el dinero invertido en el proyecto y \( t \) es el dinero recibido al final del proyecto. Si para el proyecto se invierte \( \$ 1000000 \) y se obtiene una rentabilidad igual a 5 , ¿qué expresión permite determinar el dinero \( t \) que se recibirá al finalizar el proyecto? A) \( 6=5 \cdot \log t+30 \) B) \( 6=5 \cdot \log t-11 \) C) \( 6=5 \cdot \log t-25 \) D) \( 6=5 \cdot \log t-30 \)

interes simple uso de porcentaje UN EMPLEADO RECIBE EN MAYO UN AUMENTO DEL 10\% SOBRE EL SUELDO DE MAYO PASANDO A GANAR 363 ¿CUANTO GANABA EN ABRIL?