Recall the formula for finding the area of a rectangle:
Area = Length × Width
Recall the formula for finding the perimeter of a rectangle:
Perimeter = 2 ( Length + Width )
Given in your problem:
Area = 40 sq. units
Perimeter = 26 units
Required to solve for:
Length (L) and width (W)
• First, substitute the given to the formula:
Area = Length x Width
40 = L × W ⇒ equation number 1
Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2
• Simplifying equation number 2,
13 = L + W
• Rearranging the equation,
L = 13 - W ⇒ equation 3
Substituting equation 3 from equation 1:
( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
W = 8 ; W = 5
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.
• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.
(equation 3) L = 13 - W
for W = 8 ⇒ L = 13 - 8
L = 5 units
for W = 5 ⇒ L = 13 - 5
L = 8 units
Given:
P = $22,000, the principal
r = 7% =0.07, the rate
n = 1, annual compounding
t = 3 years
The value after 3 years is
That is,
A = 22000(1.07)³ = $26,950.95
Interest earned = $26,950.95 - $22,000 = $4,950.95
Answer: $4,950.95
Answer:
3
Step-by-step explanation:
Determine the coefficient of y+ 6 - 3 in the binomial expansion y+ 3(2-1)
3(2+-1) + y = + 3(2) - (3)^-1 = 3
= y + 6 - 3 = y+3
remember to add a minus sign before every second term then a plus.
Now we see that in the term where y is in factor 3 as asked in the question (this is the term 2(3), the coefficient is therefore 3.
We know that
<span>the edge of the cube is equal to the diameter of cylinder
diameter=3 in
radius cylinder=3/2 in
volume of a cylinder=pi*r</span>²*h
r=1.5 in
h is the edge of the cube-----> h=3 in
so
volume of a cylinder=pi*(3/2)²*3-----> pi*(9/4)*3----> (27/4)*pi in³----> 21.21 in³
the answer is
the volume of the cylinder is (27/4)*pi in³ or 21.21 in³
1.5%= 0.015
198- 0.015
=<span>197.985</span>