80% of the original amount is the new amount.
Answer:
56 regular 37 tropical Maximum profit $204.75
Step-by-step explanation:
Constraints are:
r ≥ 0
t ≥ 0
2r+ 3t ≤ 125
2r + 1t ≤ 150
I will multiply the second by -3 to cancel t variable and see what is the maximum amount for the regular
2r + 3t ≤ 225
-6r - 3t ≤ -450
ADD BOTH
-4r ≤ -225
r≤ 56.5
Since we need to pick whole bottles ,not a fraction of a bottle we need ro round down.It should be less than 65.5.So we need 56 bottles of regular
2*56 +3t ≤ 225
112+3t ≤ 225
3t ≤ 113
t≤ 37.6666
37 bottles of tropical
2*56 + 3*37 = 112+111 =223 223<225
2*56 +37 = 112 +37 =149 149<150
$2.5*56 = $140
$1.75*37 = $64.65
Total profit $204.75
Answer:
After 1.5 second of throwing the ball will reach a maximum height of 44 ft.
Step-by-step explanation:
The height in feet of a ball after t seconds of throwing is given by the function
h = - 16t² + 48t + 8 .......... (1)
Now, condition for maximum height is
{Differentiating equation (1) with respect to t}
⇒ 
seconds.
Now, from equation (1) we get
h(max) = - 16(1.5)² + 48(1.5) + 8 = 44 ft.
Therefore, after 1.5 seconds of throwing the ball will reach a maximum height of 44 ft. (Answer)
Answer:
x = 29°
The angles are 137° , 116° , 96° , 44° and 147°
Step-by-step explanation:
The sum of the angles of the polygon is given as 540°. The angles are given as 5x – 8°, 4x°
, 96° , 44°, 5x + 2. Therefore, the value of x can be found as follows
5x – 8° + 4x° + 96° + 44° + 5x + 2° = 540°
collect like terms
5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°
14x + 134 = 540°
14x = 540 - 134
14x = 406
divide both sides by 14
x = 406/14
x = 29°
Therefore, the angles are as follows
29 × 5 - 8 = 137°
29 × 4 = 116°
96°
44°
5 × 29 + 2 = 147°
