One week from now, the amount will be ...
... $50 + 0.20×$50 = $50 + 10 = $60
Two weeks from now, the amount will be ...
... $60 + 0.20×$60 = $60 + 12 = $72
_____
The first expression can be factored to be $50 × (1 + 0.20) = $50×1.2.
The second expression can be factored the same way to be $60×1.2, or ...
... ($50×1.2)×1.2 = $50×1.2²
... = $50×1.44 = $72
Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
Answer:
Why are you wasting your points? LOL XD
Step-by-step explanation:
Find the first derivatives:
.
Solve the system
:
. The second equation has solutions
and then
and you have two points
.
Find the first derivatives:
and calculate
![\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D24%26-24%5C%5C-24%2612y%5Cend%7Barray%7D%5Cright%5D%5Cright%20%7C%3D24%5Ccdot%2012y-%28-24%29%5E2%3D288y-576)
.
Since
and
,
is a point of maximum and
.
Since
and
,
is a point of minimum and
.
Answer:625
Step-by-step explanation:
a squared plus b squared =c Squared
