The population of a city was 65,000 in 1990. Using the exponential model y=y₀e^kt for population growth, estimate the population of this city in 2015 for k=0.0173953. (Assume that t is measured in years and t=0 corresponds to 1990.) Round your answer to the nearest whole number.

After applying the composition r0.90 ry to rs what are the coordinates of r' and s'? a.r'(–3, 1),  s'(–3, 5)b.r'(–1, 3),  s'(–5, 3)c.r'(1, 3),  s'(5, 3)d.r'(5, 3),  s'(1, 3)

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.