Answer:
8.5
Step-by-step explanation:
For continuous compounding, the account value formula is ...
A = Pe^(rt)
where P is the invested amount, r is the annual interest rate, and t is the number of years. We want to find t when ...
3550 = 2400e^(.046t)
ln(355/240) = 0.046t
t = ln(355/240)/0.046 ≈ 8.5
It will take 8.5 years for the value to reach $3550.
If you have found the coordinates, then the distance
between the points is just
√(difference in the Xs)² + (difference in the Ys)² .
_________________
Part 2: No.
From the equation of the circle, the center is at the origin,
and the radius is 5.
Reason #1:
==> Since the distance between your points A and B is not 10,
AB can't be a diameter of the circle.
(If you got 10 or more for the length of AB, you made a mistake on the
coordinates of A or B, or on the distance between them.)
The line Y=1-x does not go through the origin.
(Write it as Y = -x + 1 . The Y-intercept is 1, not zero.)
Reason #2:
==> Since and the line AB doesn't go through the origin and the circle
is centered at the origin, AB doesn't go through the center of the circle,
so it can't be a diameter of the circle.
Answer:
B.2 1/41
Step-by-step explanation:
In a perfect square trinomial of the form ax+bx+c where a, b and c are constants, the value of (b/2)²=ac
In the provided equation the value of a=1, b=-3 c=?
Therefore, (-3/2)²=c since a-the coefficient of x²=1 and 1×c=c
c=2.25= 2 1/4
Thus the trinomial x² - 3x + 2 1/4 is a perfect square.
Answer:
(m/n)
Step-by-step explanation:
