Answer:
AN = 9
Step-by-step explanation:
so we can imagine this in a line like:
A---------------N---------------X
Step 1 : solve for x
AX=21 (our total)
because we know that AN+NX together makes AX, we put that into an equation
<u>AN + NX = AX </u>
(2x+1) + (3x) = 21
2x + 1 + 3x = 21 <-- <em>subtract 1 from both sides</em>
2x + 3x = 20 <-- <em>add 2x +3x </em>
5x = 20 <-- <em>divide 5 from both sides</em>
<u>x = 4</u>
Step 2 : input x into AN
AN = 2x + 1 <-- <em>input 4 for x</em>
AN = 2(4) + 1 <-- <em>simplify from there</em>
<u><em>AN = 9</em></u>
<u><em /></u>
Answer: 43feet
Step-by-step explanation:
Perimeter= 135 feet
Since perimeter= 2πr
135 = 2πr
Recall that π = 3.14
135 = 2 × 3.14 × r
135 = 6.28 × r
135 = 6.28r
r = 135/6.28
r = 21.5
d = 2r
d = 2 × 21.5
d = 43 feet
A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.
Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622
b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
t ≈ 8.7 months
