Arelatively small but steady economic growth rate can create a large change in economic prosperity in a fairly short period of time due to a phenomenon known as . instructions: round your answer to the nearest whole number. using the rule of 70, if a person lived to be 70 years old in a country with an average annual growth rate in real gdp per capita of 2 percent, the average income during this person's lifetime would increase by approximately

Match the various steps in the creative process undertaken by the ad agency for developing the campaign for wpu, to the steps in young's model of the creative process.creative process in developing wpu's campaignyoung's modelafter intensive analysis of the data and several rounds of brainstorming, the agency executives decided to take a break from this project (the wpu campaign), and instead work on a different client's project before tackling the wpu project again.using a combination of animatics and storyboards, the ad agency conducted research with a representative sample of sixty target consumers to pretest the campaign theme and the creative execution.during a brainstorming session in the creative department, a copywriter's suggestion for a slogan for wpu was recognized as an excellent central idea that could drive the campaign for wpu.the account planning, account management and creative departments at the ad agency had a series of meetings and brainstorming sessions to discuss the creative brief and the results of all the primary and secondary research done with the target consumers.the account planning and the account management groups at the ad agency conducted primary research with a representative sample of the target segment and also studied secondary research data to gain insights required for the campaign development process.

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.