How long does it take for an investment to double in value if it is invested at \( 7 \% \) compounded continuously? At \( 7 \% \) compounded continuously, the investment doubles in about \( \square \) years. (Round to two decimal places as needed.)

2) Hace 4 años se pidio un préstamo de \( \$ 700000 \) y la cantidad iagada al terminar el periodo del préstamo han sido \( \$ 950.000 \) ¿Qué tasa de intere, se le aplico? 3) Después de 3 años, un banco ha paqado en concepto de inter s la cantidad des

A college foundation raises funds by selling 600 raffle tickets for a new car worth \( \$ 46,000 \) at \( \$ 140 \) each. (a) Find the expected net winnings of a person buying one of the tickets. (b) Find the total profit for the foundation, assuming they had to purchase the car. (c) Find the total profit for the foundation, assuming the car was donated. (a) The expected net winnings are \( \$-63.33 \). (Round to the nearest hundredth as needed.) (b) Assuming they had to purchase the car, the total profit for the foundation is \( \$ \) (Simplify your answer.)

3) Después de 3 años, un banco ha pagado en concepto de inter s's la cantidad de \( \$ \) 840 a una persona por depositar un plazo fijo La tasa de inter's ha sido del \( 2 \% \) anual ¿Cual fue ol capital inicial con el que se hizo el deposi?

A store sells \( Q \) units of a product per year. It costs \( d \) dollars to store one unit for a year. To reorder, there is a fixed cost of b dollars, plus c dollars for each unit. How many times per year should the store reorder, and in what lot size, in order to minimize inventory costs? Use the general solution to find how many times per year a store should reorder, and in what lot size, when \( Q=100, d=\$ 10, b=\$ 20 \), and \( c=\$ 14 \).

3. Mika opened a bank account that earns simple interest with an initial deposit of \( \$ 2,200 \). She made no other transactions throughout the year. At the end of the year, Mika had \( \$ 2,260.50 \) in her account. What was the simple interest rate?