Note that if

, then

, and so we can collapse the system of ODEs into a linear ODE:


which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

so that the characteristic solution is

Now let's suppose the particular solution is

. Then

and so

Thus the general solution for

is

and you can find the solution

by simply differentiating

.
<span>A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year.
Population of the country is 303 million.
Specific consumption,
= ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months)
=1.8 pounds/(months*persons)</span>
Answer:
1.) -5/4
2.) 2
3.) 7/3
4.) 4
5.) -6
6.) -1
7.) 5/3
8.) -4
9.) 2
Step-by-step explanation:
this is what i got i hope they are all right
slope formula: (y2 - y1) / (x2 - x1)
Step-by-step explanation:
1.
1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.
1% of 500 = 5
5 × 8 = 40
40 × 2 = 80
2.
1% of 1000 = 10
10 × 5 = 50
50 × 3 = 150
3.
12 months = 6%
6/12 = 1 month
0.5 = 1 month
0.5 × 9 = 4.5 (the amount of interest for 9 months.)
800 × 4.5% = 36
4.
12 months = 7%
7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)
7/12 x 8 = 4.666667 or 4.7 rounded.
1200 × 4.7% = 56.40