\( K \) Suppose that \( \$ 16,694 \) is invested at an interest rate of \( 6.4 \% \) 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? (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the b) The balance after 1 year is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is \( \$ \square \). (Simplity your answers. Round to two decimal places as needed.) The balance after 5 years is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.) The balance after 10 years is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.) -

A rational decision maker takes an action if and only if a. the marginal cost of the action exceeds the marginal benefit of the action. b. the opportunity cost of the action is zero. c. the marginal cost of the action is zero. d. the marginal benefit of the action exceeds the marginal cost of the action.

A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 8250 dollars. How much did he invest at each rate? Your answer is total in the account paying 6 percent interest is total in the account paying 10 percent interest is

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.)

6. UN ARTICULO DE CONTADO VALE \( \$ 1.000 .000 \), A PLAZOS EXIGEN DE CUOTA INICIAL \( \$ 200.000 \) Y EL RESTO PARA SER CANCE ADO EN 9 CUOTAS MENSUALES DE TAL MANERA QUE CADA CUOTA DECREZCA EN \( \$ 6000 \) RESPECTO DE LA ANIERIOR. SI EL INIERES DE LA FINANCIACION ES DEL 2\% MENSUAL, ENCONIRAR EL VALOR DE LA ULTIMACUOTA.

What interest rate (compounded continuously) is earned by an investment that triples in 4 years? A rate of \( \square \% \) is earned by an investment that triples in 4 years. (Do not round until the final answer. Then round to the nearest tenth as needed.)