Okay, the exponential function is

The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes

Let's see at t=2, where the price is g=2000:

Take natural logarithm:



So, the difference between t=0 and t=2 is

And then we get the change of x in one year equal to 0.035.
So, the final equation is

You can insert any t and see that it is correct, for example t=7
sin(8x) cos(3x) - cos(8x) sin(3x)
sin(8x - 3x) = sin(5x)
Answer:
Paul has 83 cards in total.
Step-by-step explanation:
Add the two stacks together.
Answer:
see below
Step-by-step explanation:
Let's solve your equation step-by-step.
3(
77
2
−
5
2
y)+7y=111
Step 1: Simplify both sides of the equation.
3(
77
2
−
5
2
y)+7y=111
(3)(
77
2
)+(3)(
−5
2
y)+7y=111(Distribute)
231
2
+
−15
2
y+7y=111
(
−15
2
y+7y)+(
231
2
)=111(Combine Like Terms)
−1
2
y+
231
2
=111
−1
2
y+
231
2
=111
Step 2: Subtract 231/2 from both sides.
−1
2
y+
231
2
−
231
2
=111−
231
2
−1
2
y=
−9
2
Step 3: Multiply both sides by 2/(-1).
(
2
−1
)*(
−1
2
y)=(
2
−1
)*(
−9
2
)
y=9
Answer:
y=9