Answer:
Step-by-step explanation: you brine is smart use it
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
17.5
Step-by-step explanation:
Given that:
20% apple juice drink is mixed with a 100% apple juice drink.

represents the concentration of apple juice in the drink when
gallons of 20% drink are added to 2 gallons of pure juice.
Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.
To find:
The concentration of apple juice in the drink = ?
Solution:
Given the function:

and


In percentage, the concentration 17.5.
The answers are B & C.
First thing to d
o is convert Radians to Degrees. 1 radians = 180/pi
. So, 3.5 radians times 180 divided by

= 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.
Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.
1 degree = 60 mins
1 minute = 60 seconds
Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus
32 minutesthen multiply 0.113698 by 60 to get 6.82188 ~
7 seconds.therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.