Answer:
3x4 = 12 is the most related fact to 12:3 = 4
Step-by-step explanation:
The ODE is linear. Multiplying both sides by
allows you to condense the left hand side as the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{7t}x\right]=5e^{7t}\cos2t](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7B7t%7Dx%5Cright%5D%3D5e%5E%7B7t%7D%5Ccos2t)
Integrating both sides with respect to
yields
The integral can be done by parts. You should get
With the given initial condition, you have
So the particular solution to the ODE is
The mean of their scores is their sum divided by the number of scores.
.. (84 +67 +74 +87 +67 +73)/6 = 452/6 ≈ 75.3
Answer:
Step-by-step explanation:
The volume of a cube.
The formula is V = s^3 where is the the "whole side length" of the cube. The cube requires three dimensions be multiplied together to find its volume.
That's why the formula is written as V = s^3. It means that V = s * s * s which is three sides multiplied together. They also need to be at right angles to each other.
The accumulated (future) value is given by the formula
F=P(1+i)^n
where
P=amount of deposit (made at the beginning of the first period)
i=monthly interest, APR/12 = 3%/12 =0.0025
n=number of periods (month)
For example, the future value for the 6th month is
F(6)=1000(1.0025^6)=1015.09 (to the nearest cent)
Here is a schedule of the values,
i=month
F(i) = value at the end of month i.
i F(i)
0 1000.0
1 1002.5
2 1005.01
3 1007.52
4 1010.04
5 1012.56
6 1015.09
7 1017.63
8 1020.18
9 1022.73
10 1025.28
11 1027.85
12 1030.42 + $50 deposit = 1050.42
All values are rounded to the nearest cent.
