Please show the work. Thank you!

5. Chemical costs associated with a packed-bed flue gas incinerator for odor control have been decreasing uniformly for 5 years because of increases in efficiency. If the cost in year 1 was $100,000 and it decreased by $5,000 per year through year 5, calculate the present worth of the costs at an interest rate of 10% per year: 6. To improve crack detection in military aircraft, the Air Force combined ultrasonic inspection procedures with laser heating to identify fatigue cracks. Early detection of cracks may reduce repair costs by as much as $200,000 per year. If the savings start at the end of year 1 and increase by 5% each year through year 5, calculate the present worth of these savings at an interest rate of 10% per year