A housing developer uses the number of new residents in a community to decide when to plan a new construction project. The following table shows the county registrar’s records of new residents over a period of five years. Year 1995 1996 1997 1998 1999 New Residents 127 147 173 196 232 a. Find an exponential function for the data as a function of x years since 1995. b. Write the equation from part a in terms of base e. c. Estimate when the number of new residents will exceed 400 per year.

c > -10.55

step-by-step explanation:

m∠a is 90°

m∠b is 40°

because that’s us why

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9