Answer:
The doubling time of this investment would be 9.9 years.
Step-by-step explanation:
The appropriate equation for this compound interest is
A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.
If P doubles, then A = 2P
Thus, 2P = Pe^(0.07t)
Dividing both sides by P results in 2 = e^(0.07t)
Take the natural log of both sides: ln 2 = 0.07t.
Then t = elapsed time = ln 2
--------- = 0.69315/0.07 = 9.9
0.07
The doubling time of this investment would be 9.9 years.
<span>the distance between points (12, 4) and (12, –10) on the coordinate plane is 14 units.
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Answer:
Step-by-step explanation:
we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x
more visually:
(y1-y2)/(x1-x2)
so for the point (-1,2) let’s say
-1 = x1
and
2 = y1
and for the point (4,-2) let’s say
4 = x2
and
-2 = y2
to find slope we plug in the values to our slope equation and we get this:
(2-(-2))/( -1-4)
(2+2)/-5
4/-5
so slope is -4/5
because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5
Answer:
h = 5.705m
Step-by-step explanation:
Volume of a cylinder
V = πr^2h
V - volume of the cylinder
π - pie
r - radius of the cylinder
h - height of the cylinder
Given :
V = 363 cubic meters
d = 9m
h = ?m
d = 2r
d - diameter
r - radius
r = d/2
r = 9/2
π- 3.142
Insert the values into the formula of volume of cylinder
V = πr^2h
363 = 3.142 * (9/2)^2 * h
363 = 3.142 * 81/4 * h
363 = 63.6255h
Divide both sides by 63.6255 to get the value of h
363/63.6255 = 63.6255h/63.6255
5.705 = h
h = 5.705m
