Answer:
x=11
Step-by-step explanation:
M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x
9x-6=6x+27 (set equal to eachother)
9x=6x+33 (add 6)
3x=33 (subtract 6x)
x=11 (divide by 3)
Answer:
<u><em>13.896 kg</em></u>
Step-by-step explanation:
Volume of Gold Bar = Area of [Trapezium x Length of Bar]
Length of Bar = 16 cm
Area of Trapezium = 2 × Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²
2 × Area of Triangle = 2 × 7.5 = 15 cm²
Area of Rectangle = 6 × 5 = 30 cm²
Area of Trapezium = 15 + 30 = 45 cm²
Volume of Gold Bar = 45 × 16 = 720 cm³
Density of Gold = 19.3 g/cm³
Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg
Mass of Gold Bar = 13.896 kg
Therefore the <u>mass</u> of the Gold Bar is: <em><u>13.896 kg</u></em> (kilograms).
The formula is
A=p (1+r/k)^kt
A future value?
P present value 240
R interest rate 0.09
K compounded monthly 12
T time 14 years
A=240×(1+0.09÷12)^(12×14)
A=842.13
