A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.$54.95
$792.00
$839.95
$1134.50
Answers
The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.
Cost of the diningset = $785
Salestax = 7%
7% of $785 = $54.95
Purchase cost = Cost + sales tax
The cost to purchase the diningset is $839.95
Option C is the correct answer.
What is a percentage?
The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.
Example:
Requiredpercentagevalue = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the diningset = $785
Salestax = 7%
Purchase cost = Cost + sales tax
Cost to purchase the diningset.
= $785 + 7% of %785
= 785 + 7/100 x 785
= 785 + 54.95
= $839.95
Rounding to the nearestcent,
= $840
Thus,
The cost to purchase the diningset is $839.95
Option C is the correct answer.
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B) x - y = 27
Adding both equations:2x = 44
x = 22
y = -5
Answers
Answers
Answer:
The end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
Step-by-step explanation:
Given the polynomial function
Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -9x⁹, then the degree is 9 i.e. odd, and the leading coefficient is -9, i.e. negative.
This means that f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
The graph is also attached below.
Thus, the end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
The graph of p(x) will start from the bottom-left and extend towards the top-right of the coordinate plane.
Use the concept of a graph defined as:
Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The given polynomial is:
Since we know that,
The end behaviour of the graph of p(x) can be determined by looking at the leading term, which in this case is .
Here, the leading term has an odd degree and a negative coefficient,
the end behaviour of the graph will be as follows:
As x approaches negative infinity, the graph of p(x) will decrease without bound (goes down indefinitely).
As x approaches positive infinity, the graph of p(x) will increase without bound (goes up indefinitely).
Hence, the graph of p(x) will start from the bottom-left and extend towards the top-right of the coordinate plane.
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B. y=-3
C. x=7
D. y=7
Answers
Answer:
B- y=-3
Step-by-step explanation:
medals?
Decide if the situation involves a permutation or a combination, and then find
the number of ways to award the medals.
Answers
Answer: Permutation; number of ways = 120
Step-by-step explanation:
Answer with explanation:
Number of runner= 5
Number of Distinct Medal = 5
First Medal can be Awarded in 5 ways, second Medal can be awarded in 4 ways and third Medal can be awarded in 3 ways , fourth medal can be awarded in 2 ways and fifth Medal can be awarded in one way.
So, total number of ways =5 × 4×3×2×1=120 way
⇒We will use the concept of Permutation as there are five distinct medal and five different runners
So, Five distinct places can be filled in 5! or ways as order of arrangement is Important because any of the five candidates can win first second, third , fourth or fifth Prize.
= 5!=5×4×3×2×1=120 ways
Because, n!=n×(n-1)×(n-2)×........1.