In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to $145,000. Find the annual growth rate between 1985 and 2005 assuming that the value continued to grow by the same percentage and use it to write a function that models the exponential growth in the house’s value in dollars V over time t, where t is the number of years since 1985.

Write your answer in the form V(t)=a(b)^t . Round the b value to 4 decimal places.

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.