Roberto and maria martinez have a new loan in the amount of $80,000. the interest rate is 10%. the monthly payments are $710, principal and interest. what is their loan balance after the they make two month’s worth of loan payments?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Six years ago, an 80-kw diesel electric set cost $160,000. the cost index for this class of equipment six years ago was 187 and is now 194. the cost-capacity factor is 0.6. the plant engineering staff is considering a 120-kw unit of the same general design to power a small isolated plant. assume we want to add a precompressor, which (when isolated and estimated separately) currently costs $13291. determine the total cost of the 120-kw unit. (hint: skip $ and comma symbols)