Answer:
Im not sure but thanks for free point?
Step-by-step explanation:
Answer: The area of the rectangle is: " 77 m² " .
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Note: The formula for the area, "A" of a rectangle:
→ A = L * w ;
in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;
L = length = "(4 + w)" {in units of "meters (m)" } ;
w = width {in units of "meters (m)" } ;
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So; " A = L * w " ;
Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:
→ A = (4 + w) * w '' ;
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Note the formula for the perimeter, "P" ;
→ P = 2L + 2w ;
↔ 2L + 2w = P
→ 2L + 2w = 36 m ;
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We want to find the "area" , "A" :
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Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;
→ 2L + 2w = 36 ;
→ Let us plug in the values for "Length (L)" & "width (w)" ;
→ 2(w + 4) + 2w = 36 ;
So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;
→ 2w + 8 + 2w = 36 ;
→ Combine the "like terms" :
+ 2w + 2w = 4w ;
→ And rewrite:
4w + 8 = 36 ;
Now, subtract "8" from EACH SIDE of the equation:
4w + 8 − 8 = 36 <span>− 8 ;
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to get:
4w = 28 ;
Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;
4w / 4 = 28 / 4 ;
→ w = 7 ; → The "width" of the rectangle is: " 7 m " .
Now, we can find the "length" of the rectangle:
The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
→ L = 11 . → The "length" of the rectangle is: " 11 m " .
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Now, we can find the area, "A", of the rectangle.
A = L * w = 11 m * 7 m = " 77 m² " .
→ The area of the rectangle is: " 77 m² <span>" .
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To check our answer:
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→ " P = 2L + 2w " ;
Given that "P = 36 m" ;
Plug in "36 m" (for "P") ; into the equation ;
and plug in our calculated values for
"length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;
to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
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→ 36 m = ? 2L + 2w ?? ;
→ 36 m = ? 2(11 m) + 2(7 m) ?? ;
→ 36 m = ? 22 m + 14 m ?? ;
→ 36 m = ? 36 m ? Yes!
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Answer:
Zero
Step-by-step explanation:
The solutions to a system of equations are where the lines intersect. These lines have the same slope meaning they are parallel. Parallel lines never intersect, therefore there are zero solutions.
The amount invested at 5% is $12,000 whereas the remaining $15,000 was invested at 4%
What is the amount of annual return for each investment?
The amount of annual return for each investment is determined as the amount invested multiplied by the rate of return
Let us assume that y was invested at 5% and the 27000-y, the remainder was invested at 4%
Total annual return=(y*5%)+(27000-y)*4%
Total annual return=0.05y+1080-0.04y
total annual return=0.01y+1080
total annual return=1220
1220=0.01y+1080
1200-1080=0.01y
120=0.01y
y=120/0.01
y=$12,000(invested at 5%)
amount invested at 4%=27000-12000
amount invested at 4%=$15,000
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