Use the data below to determine the exponential regression for the value of a home over time. Round the values in the regression equation to two decimals. Then, estimate what year the house will reach the owner's goal value of $500,000.
The value of the home can only be estimated at the beginning of every year.
Years
House Value
(thousand $)
250
0
4
275
8
314
12
367
16
412
20
489

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?