Answer:
d 20.4 years
Step-by-step explanation:
The equation is
A = Pe ^(rt)
We know that r = .034
We want the money to double so A = 2P
Substitute in
2P = P e ^(.034t)
Divide by P
2P/P = P/P e ^(.034t)
2 = e^ (.034t)
Take the natural log on each side
ln (2) = ln(e^ (.034t))
ln (2) = .034t
Divide by .034
ln (2) /.034 = .034t/.034
ln (2)/.034 = t
20.3867 =t
Answer:
(- 2, - 1 ), (2, 1 )
Step-by-step explanation:
Given the 2 equations
x - 2y = 0 → (1)
x² - y² = 3 → (2)
Rearrange (1) expressing x in terms of y by adding 2y to both sides
x = 2y → (3)
Substitute x = 2y into (2)
(2y)² - y² = 3, that is
4y² - y² = 3
3y² = 3 ( divide both sides by 3 )
y² = 1 ( take the square root of both sides )
y = ± 
= ± 1
Substitute these values into (3) for corresponding values of x
y = - 1 ⇒ x = 2(- 1) = - 2 ⇒ (- 2, - 1 )
y = 1 ⇒ x = 2(1) = 2 ⇒ (2, 1 )
The coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
<h3>Reflection of coordinates</h3>
If a coordinate (x, y) is reflected across the x-axis, the resulting coordinate after reflection is (x,-y)
Note that the y-ccordinate is negated after the reflection.
Given the coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
Learn more on reflection here: brainly.com/question/26642069
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The angle sum of quadrilateral is 360 so just 360 - 120- 48 - 92 so the fourth angle should be 100°
the area of triangle is base X height /2 so the answer is 6 x 8 /2 = 24
Answer:
No solution!
Step-by-step explanation:
Kindly see the attached file for processed solution
