Answer:
The correct option is B.
Step-by-step explanation:
The formula for amount after compound interest is
Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.
It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is
The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.
The monthly payment of $44156.1074 for 20 years is
Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.
Therefore the correct option is B.
Answer:
No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot
Step-by-step explanation:
A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°. All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.
Pythagorean Theorem is a² + b² = c², where a and b are the legs, and c is the hypotenuse. Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle. Plug the values in to see if the equation is true or false
10² + 12² = 18²
100 + 144 = 324
244 ≠ 324 so the bookcase does not form a right angle, and won't fit in the corner of the room
You remember from SOH CAH TOA that
.. Cos = Adjacent/Hypotenuse
.. cos(C) = 80/82 = 40/41 . . . . . . . . . . . seems to match the last selection
Answer:
Rule:
Step-by-step explanation:
<em>I will answer generally, since the coordinates of f, g and h are not given</em>
Given
Point: x, y
Translation Rule
1 : x + 3, y - 1
2: 90 degree counterclockwise
Required
Determine the new coordinates
<u>At the first translation of (x,y) by x + 3, y - 1</u>
The new point is: 
<u>At the second translation (90 degrees counterclockwise)</u>
When a point (x,y) is translated using this rule, it becomes (-y,x)
So, the new point is:
If the initial point of h is (2,3),
The new point is:
19-3=16
16/8=2
2x8+3=19
The answer is 2.
