Answer:
<h3>x = 22/7</h3>
Step-by-step explanation:
22x + 1 = 8
Send 1 to the right side of the equation
22x = 8 - 1
22x = 7
Divide both sides by 22
x = 7/22
Hope this helps you
Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
<u>Area 1</u>
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
<u>Area 2</u>
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
<u>Area 3</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
<u>Area 4</u>
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
Answer:
gradient = 9
Step-by-step explanation:
The gradient of the tangent at x = a is the derivative
Differentiate using the power rule on each term
(a ) = na and ( constant ) = 0
y = 2x² + 5x - 3
= 2.2 + 5 - 0
= 4x + 5
( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent
Initial cost, P = 15000
Annual depreciation, i = 0.23
Value at end of year n:
V(n)=P(1-i)^n
A. At end of year 1 (n=1)
V(1)=15000(0.77)= 11550
B. At end of year 3 (n=3)
V(3)=15000(0.77^3) = 6848.00