Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
140 + 6x = 462 - 10x
Thus, the answer is letter B.
To illustrate the problem, refer to the following diagram, made with the ever-helpful notepad application:
|\ | \ | \h| \ | \ | \ |_____q\ x
Pretending as if that is a wonderfully-drawn triangle, we are given the distance x of the observer from the launch pad. The angle q is also stated, and is located in the diagram as shown. To look for the distance h of the tip of the rocket to the ground, we consider the following trigonometry function:
tan q = h/x
Since we are solving for h, we multiply both sides with x, giving us:
h = x * tan q
Among the choices, the correct answer is C.
What are the answer choices?
but in my head, I would see substitution as the answer but like I said it would depend on the answer choices
28.8 degrees
tan-1 = 71/81
