If f(x) is an exponential function where f(-2) = 1 and f(7) = 63, then find the value of f(1), to the nearest hundredth.

In triangle abc, the length of side ab is 12 cm, the length of side bc is 5 cm, and the length of side ca is 9 cm. find the measure of angle a using the law of cosines.

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Alicia puts $400 in a bank account. each year the account earns 5% simple interest. how much money will be in her bank account in six months?