During the first 11 months of a recent year, a certain charitable organization received an average (arithmetic mean) of $20,600 per month in donations. how much did the organization receive in donations during december of that year if the average amount of donations per month for the entire year was $21,000 ?

Which composition of transformations will create a pair of similar, not congruent triangles? a rotation, then a reflectiona translation, then a rotationa reflection, then a translationa rotation, then a dilationmark this and retumsave and exit

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?

Penelope summers received certain income benefits in 2018. she received $1,400 of state unemployment insurance benefits, $2,000 from a federal unemployment trust fund and $3,700 workers’ compensation received for an occupational injury. what amount of the compensation must penelope include in her income