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A population of protozoa develops with a constant relative growth rate of 0.5193 per member per day. On day zero the population consists of 3 members. Find the population size after 6 days. Find the answer correct to the nearest whole number. Select the correct answer. P=23 P=5 P=58
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A population of protozoa develops with a constant relative growth rate of 0.5193 per member per day. On day zero the population consists of 3 members. Find the population size after 6 days. Find the answer correct to the nearest whole number. Select the correct answer. • P=23 • P=5 • P=58 • none of those • P=68 • P=1,210
The table gives estimates of the world population, in millions, from 1750 to 2000: Year Population Year Population1750 640 1900 1,750 1800 1,090 1950 2,380 1850 1,400 2000 6,100 Use the exponential model and the populationfigures for 1750 and 1800 to predict the world population in 1,900. • P = 6,699 • none of those • P = 3,162 • P = 48,660,461,424,382,600,000 • P = 1,422 • P = 392,236,391,057
After 3 days a sample of radon-222 decayed to 58% of its original amount. How long would it take the sample to decay to 42% of its original amount? Select the correct answer. • t = 3.19 days • none of those • t = 20.36 days • t = 1.59 days • t = 4.78 days • t = 8.60 days
1. 2. 3. 4. 5. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose that a roast turkey is taken from an oven when its temperature has reached 185 {image} F and is placed on a table in a room where the temperature is 80 {image} F. If u (t) is the temperature of the turkey after t minutes, then Newton's Law of Cooling implies that {image} . This could be solved as a separable differential equation. Another method is to make the change of variable y = u - 80. If the temperature of the turkey is 155 {image} F after half an hour, what is the temperature after 25 min? • t = 154 {image} F • t = 117 {image} F • none of those • t = 285 {image} F • t = 159 {image} F
If $350 is borrowed at 28% interest, find the amount due at the end of 5 years if the interest is compounded continuously. Please round the answer to the nearest hundredth. • $1,419.32 • $1,302.65 • none of those • $1,769.32 • $404.06 • $725.79