In the keynesian-cross analysis, assume that the analysis of taxes is changed so that taxes, t, are made a function of income, as in t = t + ty, where t and t are parameters of the tax code and t is positive but less than 1. as compared to a case where t is zero, the multiplier for government purchases in this case will:

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?