Answer:
$115.92
Step-by-step explanation:
To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + <u>R</u> ) ^n
100
where p = principal ($800)
a = amount (?)
r = interest rate (7%)
n = time ( no of years) (2)
A = 800 ( 1 + <u>7 </u>) ^2
100 A = 800 ( 1 + 0.07) ^2
A = 800 ( 1.07)^2 = 800 ( 1.1449)
A = 915.92.
We then find compound interest with:
C = Amount - Principal = $915.92 - $800 = $115.92
Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Answer:
(1/4)³
Step-by-step explanation:
Hope it helps you
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
