Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
Step-by-step explanation:
Use a simple interest formula.
<u>Simple interest formula:</u>
<h3>
⇒ I=Prt</h3>
- P stands for principal
- R stands for interest rate
- T stands for interest time
- (P): Principal =$2000
- (R): Interest Rate =4.6%
- (T): Interest Time =4
→ 2000*4.6%4
<u>You have to convert 4.6% into a decimal form.</u>
→ 4.6%=0.046
→ I=2000*0.046*4
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
→ 2000*0.046*4=368
- <u>Therefore, the correct answer is 368.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
r = -11
Step-by-step explanation:
Answer:
Bushes cost $28
Step-by-step explanation:
WE have:-
4*63 + 13b = 616 where b = cost of one bush.
252 + 13b = 616
13b = 616 - 252 = 364
b = 364/13
b = 28 (answer)
Answer:
The answer would be 40 because 30+20-10=40