Let's split these two situations up.
Linda
Linda deposits $1,800 into an account that pays 7.5% interest, compounded.
The equation:
1,800× 1.075^x=y
Let's put in 10 for x.
1.075^10= 2.06103156 × 1,800= 3,709.85681≈ 3,710
Anna
Anna deposits $4,000 into an account that pays 5% interest, compounded.
The equation:
4,000× 1.05^x=y
Let's put in 10 for x.
1.05×10= 1.62889463×4,000= 6515.57852= 6516
A) Linda's account: $3,710
Anna's account: $6,516
These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:

and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:

and

and

The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:

and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:

and

and

with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
Answer:
Mike is right. 152 is larger than 33 + 53/
Step-by-step explanation:
First we need to add 53 + 33 to see if it will equal up ro 152. So 53 + 33 = 86.
86 is less than 152, so Mike is correct and Karen is wrong, as usual.
Answer:
I need to see where the point is on the graph. Or at least what are the coordinates of A?
Step-by-step explanation: