G(x) = x2 − 7x + 7, find g'(a) and use it to find equations of the tangent lines to the curve y = x2 − 7x + 7 at the points (0, 7) and (6, 1).

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 need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0