Answer: C: $98*(0.06 + 0.18)
Step-by-step explanation:
Always when we have a percentage X% of charge of an amount of money, suppose $100.
The actual cost will be:
(x)*$100 = C.
Where x is the decimal representation of X%:
x = (X%/100%)
In this case, we have two additional charges:
One of 18% and another of 6%.
First we can write them in decimal form:
18%/100% = 0.18
6%/100% = 0.06.
If the price without tax is $98, then the price with the charges will be:
P = (0.18 + 0.06)*$98
The correct option is C.
Answer:
5
Step-by-step explanation:
Step 1:
x - 2 = 3x - 12
Step 2:
- 2 = 2x - 12
Step 3:
10 = 2x
Step 4:
5 = x
Hope This Helps :)
Answer: S₁₉ = 855
Step-by-step explanation:
T₄ = a + ( n - 1 )d = 5 , from the statement above , but n = 4
a + 3d = 5 -------------------------1
S₆ = ⁿ/₂[(2a + ( n - 1 )d] = 10, where n = 6
= ⁶/₂( 2a + 5d ) = 10
= 3( 2a + 5d ) = 10
= 6a + 15d = 10 -----------------2
Now solve the two equation together simultaneously to get the values of a and d
a + 3d = 5
6a + 15d = 10
from 1,
a = 5 - 3d -------------------------------3
Now put (3) in equation 2 and open the brackets
6( 5 - 3d ) + 15d = 10
30 - 18d + 15d = 10
30 - 3d = 10
3d = 30 - 10
3d = 20
d = ²⁰/₃.
Now substitute for d to get a in equation 3
a = 5 - 3( ²⁰/₃)
a = 5 - 3 ₓ ²⁰/₃
= 5 - 20
a = -15.
Now to find the sum of the first 19 terms,
we use the formula
S₁₉ = ⁿ/₂( 2a + ( n - 1 )d )
= ¹⁹/₂( 2 x -15 + 18 x ²⁰/₃ )
= ¹⁹/₂( -30 + 6 x 20 )
= ¹⁹/₂( -30 + 120 )
= ¹⁹/₂( 90 )
= ¹⁹/₂ x 90
= 19 x 45
= 855
Therefore,
S₁₉ = 855
Answer:
D
Step-by-step explanation: The vertex is where the curve of the parabola occurs. Pay attention to where the curve of the parabola exists, and write down its coordinates. Over here, the curve is on 3 of the x-axis, and the y-value is 0 because the curve is literally on the x-axis. Any point that is on the x-axis will have no y-value. Hence our answer is (3,0).