Mathematically, it must always be true that:   Saving  =a. Disposable income+Comsumption b. Comsumption-Disposable income c. Disposable income-Consumption   Therefore, it must also be true that:

Q5) A project that will cost $50,000 today, $100,000 in two years from today and $150,000 in five years from today will yield net returns of $5,000 monthly for 10 years. If the cost of money is 9% compounded annually, find the NPV of the project. (16.2)

In a given year, the U.S. federal income tax owed by a married couple filing jointly can be found from the following table. Married Filing Jointly Taxable Income $0-$18,550 T(x) = $18,551-$75,300 $75,301-$151,900 amount over $75,300 $413,351-$466,950 Tax Rate 10% $1,855 plus 15% of the amount over $18,550 $10,367.50 plus 25% of the $151,901-$231,450 amount over $151,900 $466,951 or more if $29,517.50 plus 28% of the $231,451-$413,350 amount over $231,450 $51,791.50 plus 33% of the $130,578.50 plus 39.6% of the amount over $466,950 (a) For incomes up to $151,900, write the piecewise defined function T with input x that models the federal tax dollars due as a function of x, the taxable income dollars earned. $111,818.50 plus 35% of the amount over $413,350 0 < x≤ 18,550 if 18,550 < x≤ 75,300 if 75,300 < x≤ 151,900 (b) Use the function to find T(40,000). $ (c) Find the tax due on a taxable inco of $90,000. $ (d) A friend tells Jack Waddell not to earn any money over $75,300 because it…

A certain company grants a six-month investment product that offers to pay its clients 8% the first month, 12% the second month, 11% the third month, 8% the fourth month, 14% the fifth month and 15% the sixth month. What would be the value of the average rate that the customer will receive? Write your answer to 2 decimal places.