Answer:
(K'(- 1, - 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Thus
K(- 1, 2 ) → K'(- 1, - 2 )
Answer:
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Step-by-step explanation:
Let
x ------> the amount of money that should be invested at the rate of 12%
3,000-x -----> the amount money that should be invested at the rate of 10%
we know that
The sum of the interest on each of the accounts must be equal to the total interest.
Solve for x
therefore
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Hope this helps you!!!! :D
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
Answer:
<h3>dn = -7^n-1</h3>
Step-by-step explanation:
Given the sequence -1,-7,-49,-343,....
We are to find the nth term of the sequence
dn = ar^n-1
a is the first term = -1
r is the common ration = -7/-1 = -49/-7 = 7
n is the number of terms
Substitute
dn = -1(7)^n-1
dn = -7^n-1
hence the nth term of the sequence is dn = -7^n-1
Answer:
x ≈ 61.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin15° = 
= 
( multiply both sides by x )
x × sin15° = 16 ( divide both sides by sin15° )
x = 
≈ 61.8 ( to the nearest tenth )
