A state's lottery winner is promised $200,000 a year for twenty years (starting at the end of the first year). How much must the state invest now to guarantee the prize if the state can earn annually 7 percent on its funds? How much must the state invest if the annual payments were made at the beginning of the year?

Marvin wrote a check of $58.25 for the water bill and $450 for rent. he also made a deposit of $124.16. how much is his new balance after writing the checks and making the deposit?

Alyssa works for an engineering firm that has been hired to design and supervise the construction of a highway bridge over a major river. the bridge will be a unique design, incorporating complex designs that will likely never be duplicated. how should alyssa deal with designing and overseeing the building of the bridge?

What is the eventual effect on real gdp if the government increases its purchases of goods and services by $80,000? assume the marginal propensity to consume (mpc) is 0.75. $ what is the eventual effect on real gdp if the government, instead of changing its spending, increases transfers by $80,000? assume the mpc has not changed. $ an increase in government transfers or taxes, as opposed to an increase in government purchases of goods and services, will result in an identical eventual effect on real gdp. a smaller eventual effect on real gdp. a larger eventual effect on real gdp. no change to real gdp.