Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
Answer:
Zeroes: ± 6
Step-by-step explanation:
The given polynomial is: 
.
To find the zeroes of the polynomial we equate it to zero.
⇒ 
⇒
⇒ x = -6 and x = +6. They are the zeroes of the polynomial.
Since 
is a quadratic equation it will have two roots. Therefore, the roots are x = -6, -6.
Multiplicity of a root is the number of times the root appears as the solution for the equation.
This makes x = -6 as root with multiplicity two.
Similarly, 
will have three roots.
∴ x = +6, +6 , +6
x = +6 is a root with multiplicity three.
Answer:
circumference = 37.68 yd
Step-by-step explanation:
12 x 3.14 = 37.68 yd
Length BC is opposite of angle A and AC is opposite of angle B.
<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>
<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
Step-by-step explanation:
area of the triangle
1/2xbxh
1/2(12x9)
1/2(108)
area of triangle is 54in²
area of rectangle
2(L+W)
2(15+6)
2(21)
area of rectangle is 42in²
Total area is 96in²
