Can someone please help with this and please show workings

10. A person's current salary is $40000. The person will receive a raise of 5% every year that they work at the company. A. Write a function that gives the person's salary after t years of working for this company. B. If the person retires after 30 years, what was their salary at retirement? 11. Sam invests $7000 in an account that pays 3.9% interest compounded annually. How much will Sam have after 3 years? After 10 years? 12. Cathy invests $350 in an account that pays 2.5% interest compounded semi-annually. A. Write an equation that gives the amount in the account after t years. B. How much will be in the account after 5 years? 13. George borrows $2000 at an interest rate of 6% compounded daily. How much will he owe at the end of one year? How much would he owe at the end of 4 years? 14. Matt bought a new car at a cost of $25,000. The car depreciates (loses) approximately 15% of its value each year. 156 A. Fill in the table showing the value of the car after t years. t 0 1 2 3 4 P(t) B. Write an equation for the value of the car at time t. C. Sketch a graph of the value of the car for 0 s t s 8 years. D. How much will the car be worth after 3.5 years? E. Estimate how long it will take for the car to lose half of its value using your calculator. 15. The pesticide DDT was widely used in the United States until its ban in 1972. DDT is toxic to a wide range of animals and aquatic life, and is suspected to cause cancer in humans. The half-life of DDT is 15 years. If there was 150 grams of DDT present in 1972, write an equation for the amount of DDT present at any time t where t is years after 1972. 16. A fossil is found in 2010. The amount of carbon present in the fossil is 30% of the original amount. The half-life of carbon-14 is 5730 years. How old is the fossil? 17. Seventy grams of Plutonium-239, which has a half-life of 200 years, is leaked into soil. A. Write an equation for the amount of Plutonium-239 in the soil after t years. B. If the soil is not safe for plant-life until there is less than 15 grams of Plutonium-239, how much time will need to pass? 18. During the Vietnam War, the United States military sprayed millions of gallons of herbicides, including Agent Orange, on parts of Vietnam. After Agent Orange exposure, this dangerous chemical begins to accumulate in the fatty tissues of the body. Dioxin (a main ingredient in Agent Orange) is a very stable chemical compound, with a half-life of about 7 years, so it stays in a person's body for a long period of time. What percent of dioxin would still be present in a person's body after 40 years? 19. A patient is prescribed 500 mg of Acetaminophen. After 2 hours, 2/3 of the Acetaminophen is still present in the patient's system. A. Write an equation for the amount of Acetaminophen in the patient's system at any time t in hours. B. How much is left after 4 hours? C. If the patient must take another dose when the amount decreases to less than 40 mg, how often must they take the medicine