Marta is at her favorite bath and body shop, and she wants to purchase hand soap. The bottles of hand soap are selling for $4.50 each. The bath and body shop is having a sale, so one can purchase three bottles of hand soap for $12. If Marta buys two bottles of hand soap, what is the marginal cost of the 2nd bottle?

You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

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