Spencer has a retirement account through his employer. His monthly contributions to the account are taken out of his check before payroll taxes are calculated.

The fact that his employer sponsors his benefit package, and the contributions are , indicates that Spencer’s retirement account is a .

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?