The answer is 18.
He has 575 cents.
25q + 5n = 575
q + n = 43
(575-q*25)/5=n
Listing some points in the form (q,n), until we find that q+n is 43:
(0,115); q+n=115
(1,110); q+n=111
(2,105); q+n=107
(3,100); q+n=103
(4,95); q+n=99
(5,90); q+n=95
(6,85); q+n=91
(7,80); q+n=87
(8,75); q+n=83
(9,70); q+n=79
(10,65); q+n=75
(11,60); q+n=71
(12,55); q+n=67
(13,50); q+n=63
(14,45); q+n=59
(15,40); q+n=55
(16,35); q+n=51
(17,30); q+n=47
(18,25); q+n=43
(19,20); q+n=39
(20,15); q+n=35
(21,10); q+n=31
(22,5); q+n=27
(23,0); q+n=23
(24,-5); q+n=19
When q+n is 43, he had 18 quarters!
18*25+(43-18)*5=575
There was a much easier way to do this.
Your scaling in the x direction is OK, but you didn't scale in the y direction properly. Hint. Scale each vertex of the original rectangle independently to construct the scaled rectangle.
I see the original points and their scaling by 2 as
(2,2) - Scales to (2*2, 2*2) = (4,4) OK in your drawing.
(-2,2) - Scales to (-2*2, 2*2) = (-4,4) OK in your drawing.
(2,5) - Scales to (2*2, 5*2) = (4,10) Error in your drawing.
(-2,5) - Scales to (-2*2, 5*2) = (-4,10) Error in your drawing.
Answer:
10000
Step-by-step explanation:
Answer:
b 146
Step-by-step explanation:
2 hours = 120 minutes
120 + 26 = 146
Answer:
Expression: N = C·L·l(t)· T + 20
The initial value problem and solution are expressed as a first order differential equation.
Step-by-step explanation:
First, gather the information:
total population, N = 2 000
Proportionality constant, C = 0.0002
l(t) number of infected individuals = l(t)
healthy individuals = L
The equation is given as follows:
N = C·L·l(t)
However, there is a change with time, so the expression will be:
= C·L·l(t)
multiplying both sides by dt gives:
dN = C·L·l(t)
Integrating both sides gives:
= 
N = C·L·l(t)· T + K
initial conditions:
T= 0, N₀ = (0.01 ₓ 2 000) = 20
to find K, plug in the values:
N₀ = K
20 = K
At any time T, the expression will be:
<u>N = C·L·l(t)· T + 20</u> Ans