Yes, you are correct in your comment above. But you should explain your reasoning so that someone who is reading your answer can understand the steps that you took to arrive at that answer. For example, this is how I would write-up the solution:
Let $H$ be the event that Laura gets hired and $A$ be the event that she gets an A in class. Then from the definition of conditional probability we have,
\begin{eqnarray} P(H|A) & = & \frac{P(H \cap A)}{P(A)} \\\ \implies P(H \cap A) & = & P(H |A) P(A) \\\ \implies P(H \cap A) &=& 0.85 \times 0.7 = 0.595 \textrm{ (Substituting the probabilities given in the question).} \end{eqnarray}
So the probability that Laura gets an A in business class and also gets hired by the company is $59.5\%$.