Answer:
x(to the 3rd power) +7x(to the 2nd power) − 27x − 6
Step-by-step explanation
Similar, so the dimentions and thus the area should be in proprotion
bigger one is 4 times of smaller one
96=4 times smaller
divide b 4
24=smaller
smaller=24 square cm
Here you go. Hope you get this.
<span>Since the paddock assumes a rectangular shape the area is 1/2 * b * h.
From Pythagorean AB^2 = BC^2 + AC^2
(3)^2 = (x + 0.4)^2 + x^2
9 = x^2 + 0.8x + 0.16 + x^2
So 2x^2 + 0.8x + 0.16 - 9 = 0
2x^2 +0.8x- 8.84 = 0
Using the quadratic formula
The solutions are 1.911 and -2.31
The area therefore is
area=1/2 * b * h
=1.91*2.31/2 = 2.21km²
1hectare = 0.01km²
2.21km^2 = 221ha</span>
Answer:
<u>$11,000</u>
Step-by-step explanation:
Let amount invested for 12% yield be <em>p . </em>Amount for 4% yield is therefore (<em>18000-p)</em>
Interest for 12%:<em> 12% of p=0.12p</em>
Interest for 4%: <em>4% of </em>(<em>18000-p)=0.04(18000-p)=720-0.04p</em>
Total interest:
<em>=0.12p</em> + (<em>720-0.04p)</em>
<em>=0.12p-0.04p+720</em>
<em>=0.08p+720</em>
But we already know the total interest is 1280
Therefore: <em>0.08p+720=1280</em>
<em>0.08p=1280-720</em>
<em>0.08p=560</em>
<em>p=560÷0.08</em>
<em>p=7000</em>
Therefore at 4% the person invested:
(<em>18000-p)</em>
<em>18000-7000</em>
<em>$11,000</em>
