Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost = 
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779
<span>Slope of JK=((-1)-2)/(4-(-3)=-3/7
Slope of KL=((-5)-(-1)/(2-4=2
Slope of LM=((-2)-(-5))/(-5-2)=-3/7
Slope of MJ=(2-(-2))/((-3)-(-5))= 2
JK is parallel to LM and KL is parallel to MJ. Therefore JKLM is a parallelogram.</span>
Hello here is a solution :
<span>x² − 8x − 4 = 0.
</span><span>quadratic equation ax²+bx+c = 0 when : a=1 and b= -8 and c = -4
discriminant : d = b²-4ac d= (-8)²-4(1)(-4) =64+16 =70
x= (-b-rot(d))/2a </span>x'= (-b+rot(d))/2a .......conrinu
Answer:
The area of the figure is 7.5 
.
Step-by-step explanation:
In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3 . The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5
Answer: the number of adult and student tickets sold are (45, 29)
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
On Wednesday, a total of 74 tickets were sold. This means that
x + y = 74
x = 74 - y- - - - - - - - - - - - - - 1
If adult tickets are sold for $15 and student tickets are sold for $11 and the money collected was $994, it means that
15x + 11y = 994- - - - - - - - - - - - - - 2
Substituting equation 1 into equation 2, it becomes
15(74 - y) + 11y = 994
1110 - 15y + 11y = 994
- 15y + 11y = 994 - 1110
- 4y = - 116
y = - 116/ - 4
y = 29
Substituting y = 29 into equation 1, it becomes
x = 74 - 29 = 45
