Answer:
T = 75 + 116.9*N
Step-by-step explanation:
We have that the equation for Michael's savings is:
A = 75 + 50.85*N, where N is the number of weeks
And we have that the equation for his wife's savings is:
B = 65.95*N.
So, to find the total amount saved using both plans combined (T), we have to sum A and B:
T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N
So the equation that relates T to N is:
T = 75 + 116.9*N
Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
5%
Step-by-step explanation:
2000/40000 = 0.05
All you do is divide both numbers and you'll get the decimal form which in this case is 0.05 which means 5%.
Answer:
Percent: 20%
Fraction: 1/5
Decimal: 0.20
Step-by-step explanation:
8:40*100 =
( 8*100):40 =
800:40 = 20%
Percent to fraction:
20%=20/100
= 0.2
=0.2×10/10
=2/10
=1/5
Percent to decimal:
20/100 = 0.20
Yes, there is a fraction because when solving the equation you need to find Q. So to find Q you will need to divide