Show how to calculate these by hand with formulas or with calculator, not excel, for a positive rAting

A low-cost noncontact temperature measuring too may be able to identify railroad car wheels that are in need of repair long before a costly structural fail ure occurs. If the BNSF railroad saves $100,000 in year 1, S110,000 in year 2, and amounts increasing by S10,000 each year for five years, what is the equivalent annual worth of the savings at an inter- est rate of 10% per year? ($118,101 The present worth of income from an investment that follows an arithmetic gradient was projected to be $475,000. If the income in year one is expected to be $25.000, how much would the gra dient have to be in each year through year 8 if the interest rate is 10% per year? (S21,313.5) For the cash flows shown, determine the future worth in year 5 at an interest rate of 10% per year Year Cash Flow $300,000 $275,000 $250,000 S225,000 S200,000 51,555,261.45