The final amount is $7,615.27
A = P(1 + r/n)^t
Where,
A = Final amount
P = principal = $7, 200
r = interest rate = 2.5% = 0.025
n = number of periods = 4
t = time = 9 years
A = P(1 + r/n)^t
= 7,200(1 + 0.025/4)^9
= 7,200(1 + 0.00625)^9
= 7,200(1.00625)^9
= 7,200(1.0576769512798)
= 7,615.2740492152
Approximately,
A = $7,615.27
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Answer:
Option C - 1/81
Step-by-step explanation:
9^(-2) = 1/(9^2) [ Because a^(-m) = 1/(a^m) ]
so, 1/(9²) = 1/81.
Hope this helps you.
V=127.16pi m^3
The formula for the Volume of a Cylinder is V=(pi)r^2h
First we have to fill in the variables with the information we have. The radius is 3.4m. The height is 11m. We want to leave the answer in terms of pi, so we won't multiply by pi at all. Let's plug it in.
V=(pi)3.4^2•11
To square a number we multiply it by itself, so 3.4 • 3.4 equals 11.56.
V=(pi)11.56•11
Next, we multiply the radius squared, which we already found by the height of the cylinder which is 11. 11.56 times 11 equals 127.16.
V=127.16pi
We found the final answer and don't use pi since we want it in terms of pi. Since a Cylinder is a 3-D figure, that means the units of measurement is cubed.
The answer is A) 127.16pi m^3
Answer:
(-1, 7, 2)
Step-by-step explanation:
we suppose that ax + by + cz = d for the matrix
D = det [ 0 4 7] = 100
-6 0 -2
1 2 8
Dx= det [ 14 4 7] = - 100
10 0 -2
-3 2 8
Dy= det [ 0 14 7] = 700
-6 10 -2
1 -3 8
Dz = det [ 0 4 14] = 200
-6 0 10
1 2 -3
So the solution is:
x = Dx/D = -1, y = Dy/D= 7, z =Dz/D = 2
(-1, 7, 2)
have a good day!
The description expresses three points which can be used for a standard form equation. The vertex is stated to be (0,0) and is a maximum; two other points are (-21,-74) and (21,-74)
The equation for vertex form of a parabola:
y=a(x-h)^2+k
vertex (h,k)
thus our equation will be:
y=a(x-0)^2+0
thus
y=ax^2
using one of the points, the value of a will be:
-74=a(21)^2
a=-74/441
thus the equation will be:
y=-74/441x²
