Question

Question #19 please. Topic is Exponential and Logarithmic Functions/Exponential Growth and Decay. The answers supposed to be 760 millimeters is the atmospheric pressure at sea level; 19i. 740.086 mm; 19ii. 535.753 mm; 19iii. 469.682 mm. Please show steps for these answers. I would like to see and understand it thoroughly. Thank you so much!

Prelalu times per year: Use the compound interest formula to determine ind interest formula to determine A, the amount you Stment of P dollars, a given interest rate and interest compounded n times De initial investment of P dollars 11. P = $1000,4%, n = 4,1 = 5 12. P = $1000, 4%, n=12,1 = 5 13. P = $500,1%, n=4,1 = 10 14. P = $500,1%, n=365,1 = 10 15. P = $2000,2%, n=1,1= 8 16. P = $2000,2%, n= 365, 1 = 8 w much will he have in Matthew invests $2000 in a Roth IRA. If he realizes an annual return of 12%, how much will be h 40 years? 18. Amy invests $5000 in a Roth IRA. How much will she have in 45 years if she receives a 10% annual return on her investment? 19. At an altitude of h kilometers above sea level, the atmospheric pressure in millimeters of mercury is given by P = 760e-0.11445). What is the atmospheric pressure at sea level? What is the atmospheric pressure at the peaks of the following well-known Hawaiian landmarks: (0) Diamond Head Crater (-232 km above sea level); (ii) Haleakala Crater (3.055 km above sea level); (iii) Maunakea Observatory (4.205 km above sea level)? 20. Sociologists estimate that if 200,000 people follow a celebrity on social media, the number of people, N, who hear a rumor about the celebrity 1 hours after it is first heard, is given by N = 200.000 (1 +1.9e"); How many people will hear the rumor after 4 hours? 21. A physicist has 100 grams of a radioactive substance. After 2 hours, she only has 30 grams. How mu will she have after 4 hours? 22. Two years ago, the Fish King company began farming moi, a native Hawaiian fish in a sea cage facil off the island of Hawai'i. They initially received 100 adult moi from the Hawaii Oceanic Institute, and they now have a population of 400 adult moi. They plan on sulation reaches 1000. Will they be able to do so in the next 2 years? id selling the fish once the

Answer 1

Q.19. P = 760e-0.11445h where h is in km height above sea level

at sea level , h = 0

thus P(h = 0) = 760e-0.11445*0 = 760 mm of mercury

(i) at Diamond head crater i.e. h = 0.232 km , P(h = 0.232) = 760e-0.11445*0.232 = 740.086 mm of mercury

(ii) at Haleakala crater i.e. h = 3.055 km , P(h = 3.055) = 760e-0.11445*3.055 = 535.753 mm of mercury

(iii) at Maunakea obsevatory i.e. h = 4.205 km , P(h = 4.205) = 760e-0.11445*4.205 = 469.682 mm of mercury