Well to find the values of the variables, you would have to use the Pythagorean Theorem. The Pythagorean Theorem states that a²+b²=c². A being one side of the triangle, b being the other side, and c being the hypotenuse. The hypotenuse is the slanted and the longest side of a right triangle. So let's find the the total amount of x and y. 5+7=12 Just plug in the numbers into the equation 12²+5²=c² C would equal 13. So we know that x+y=13. If we plug in 7 and 5 into the equation (solving for y) 7²+5²=c², C would equal 8.6. To find x just do 13-8.6 and we get 4.4. So we know that y=8.6 and x=4.4. Hope I helped!
Answer: Given the 3 choices in the problem, the greatest profit would be for the final pair (6, 12).
If you input 6 for x in the function and 12 for y in the function, you will get an output profit value of 1260.
P = 50(6) + 80(12)
P = 300 + 960
On these types of problems, there are generally multiple constraints that you have to be aware of. One of the vertices of the possible areas must be (6, 12).
Pints: 4
Ounces: 64
Im not sure if thats what you needed but hope this helps
The value of $500 after four years is $610
<u>Step-by-step explanation:</u>
It is given that, the value of $500 increases at a rate of 5% per year.
The exponential formula is given by 
.
where,
- a is the initial amount.
- b is the growth factor
.
The growth factor b is replaced by either (1 + r) or by (1 - r).
where, r is the rate per year.
b= (1+r) represents the increase in growth rate.
b= (1-r) represents the decrease in growth rate.
Here, the growth rate is increased. So the formula is given by 
where,
- The initial amount, a = 500.
- Rate, r = 5% = 5/100 = 0.05
- Number of years, n= 4.
- y = value of the item after 4 years
<u>To find y value :</u>
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, the value of the item after four years is $610.
