niña rented a bicycle while she was on vacation. She paid a flat rental fee of $75.00 plus $9.50 each day. The total cost was $4
1 answer:
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Answer:
$137,339.88
Step-by-step explanation:
Here is the equation for compound interest: A=P(1+(r/n))^nt
where A=amount of money, P=principal, r= rate in decimal, n=number of times compounded per t, and t=time
In this case:
A=$250,000
P= ?
r= 0.04
n= 12 month/yr
t= 15 yrs
You can manipulate the equation to solve for P:
P=A/[(1+(r/n))^nt]
Plug in variables then solve:
P=
P=137339.8761 = $137,339.88
For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:
Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:
Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:
Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-)
A = -
To maximize, we have to differentiate the equation:
=
(-
)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
