The answer is 8104. First plug the 15 in the square everything in the parenthesis. After that distribute. Then add
Answer: C) Alternate interior angles
The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
Neither because they bot weigh a pound
Answer:
Interest Charged = $80
Total payback = $480
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Present Value (PV) = $400
Time period (n) = 4 years
Interest rate (r) = 5%
So, we can calculate the future value(FV), by using following formula,
FV = PV ( 1 + n × r)
By putting the value, we get
FV = $400 ( 1 + 4 × 0.05)
= $480
Hence total amount she has to pay back = $480.
Interest charged = FV - PV
= $480 - $400
=$80
