In a sixth term of an arithmetic progression is 37 and the sum of the first six terms is 147, find the first term and the 15th term

An artist entered into a written agreement to sell a patron a partially finished painting once it was complete. the patron later learned that the artist planned to sell the painting to a third party who offered to pay the artist more than the contract price. the patron filed suit to compel the artist to sell the painting to her in accord with the terms of their agreement, while the artist denied that the painting the artist planned to sell to the third party was the subject of the agreement with the patron. at trial, the patron did not introduce the written agreement or explain its absence. rather, the patron sought to testify that, when she signed the agreement, the artist had pointed to the painting in question and stated that it was the patron’s painting. the artist’s attorney objected to the testimony that the artist identified the painting as belonging to the patron. how should the court rule? asustain the objection, because the artist’s statement was hearsay. bsustain the objection, because the patron failed to produce the written agreement or explain its absence. coverrule the objection, because the statement is not hearsay. doverrule the objection, because the statement was relevant.

The symbols found on the map below indicate where fossils have been found in the same layer of sediment. each unique symbol represents fossil locations of a particular species.

What is the rule relating the ratio of marginal utility to prices of two goods at the optimal choice? explain why, if this rule does not hold, the choice cannot be utility-maximizing.