If you paid $22.26 after the discount and tax then 30% is 0.30 and 30% OFF is 1-0.30=0.70
Tax is 6% or 0.06 and along with the initial is 1+0.06=1.06 so P is original price in P×0.70×1.06=22.26
P×0.742=22.26
P=$30 was the original price
Answer:
Step-by-step explanation:
By the marks on the angles of this triangle, it is isosceles. By the Isosceles Triangle Theorem, if 2 angles of a triangle have the exact same measure, then the sides across from those angles have the exact same measure as well. That means that, algebraically,
5x - 2 = 33 and
5x = 35 so
x = 7
Answer:
New depth of the milk will be 4 cm.
Step-by-step explanation:
If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.
Length of the cuboid formed by the the milk = 8 cm
Width = 5 cm
Height = 12 cm
Volume of the cuboid formed by the milk in the carton = Length × width × height
V = 8 × 5 × 12
= 480 cm³
If the carton is turned so that the carton stands on the shaded face,
Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.
Length = 15 cm
Width = 8 cm
Height = h cm
Then volume of the cuboid = Length × width × height
V = 15 × 8 × h
480 = 120h
h = 
h = 4 cm
Therefore, new depth of the milk will be 4 cm.
Answer: The slope is - 1/2.
Step-by-step explanation:
an=4n+1
Sum of first 30 terms
a1+a2+.................a30
Sn=(a1+an)*n/2
a1-----------first
terms
an=---------last
term-----a30
n= number of
terms-----30
calculation of a1
a1=4n+1=4*1+1=5
calculation of an
a30=4*30+1=121
S30=(a1+a30)*30/2
S30=(5+121)*30/2=1890
<span>The sum of first
30 terms is 1890</span>