1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Karolina [17]
3 years ago
5

Example 6

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price.  The store charges sales tax 6.5% on all sales. Write a  function p(x) that represents the price after a 15%  discount. Write a function t(x) that represents the total  cost with sales tax. Write a composition of functions that  represents the total cost of a riding lawn mower on sale.  How much will Mr. Rivera pay for a riding lawn mower  that has a marked price of $3000?

Solution:

a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:

p(x) = x(100\% -15\%)=x(1-\frac{0.15}{100} )=0.85x

b) If x = discounted price and t(x) = total  cost with sales tax, then:

t(x) = x(100\% +6.5\%)=x(1+\frac{6.5}{100} )=1.065 x

c) Let t(x) represents the total  cost with sales tax

t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75

You might be interested in
1. If OQ and RT are parallel lines which statement is true?
Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

    And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0
3 years ago
Read 2 more answers
SHOW PROOF OR NUN and brainlyiest
attashe74 [19]
So I tested it in a calculator as proof I guess It would be 2/9

3 0
3 years ago
A photo of a painting measures 13 inches by 17 inches. The scale factor is 1/3. What size is the painting? A. 4.3 x 5.7
JulsSmile [24]

Answer:

The new size is  4.3 x 5.7

Step-by-step explanation:

The photo originally measures

13 inches x  17 inches

If we apply a scale factor of 1/3, this means that we multiply each size by one third

13 inches * (1/3)  = 4.333 in

17 inches * (1/3)  = 5.666 in

If we round up we get

4.3 in

5.7 in

The new size is  4.3 x 5.7

5 0
3 years ago
10-2y=46 solve for y
rewona [7]

Answer:

y=-18

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Don't understand need help
Nostrana [21]
Hello!
So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that we have our formulas, let's put them into affect with your points.

13)  90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)

*Note, the symbol _'_ Stands for prime. All this means, is the new point.

15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(

17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)

Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue


7 0
3 years ago
Other questions:
  • The Quick Mart has two kinds of nuts. Pecans sell for $1.55 per pound and walnuts sell for $1.95 per pound. How many pounds of w
    5·1 answer
  • The sum of the angle measures of a polygon with s sides is 2520 find s
    8·1 answer
  • Emma has saved £1.35 in 5p coins. How many 5p coins does Emma have?
    10·1 answer
  • Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.
    9·2 answers
  • Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number
    8·1 answer
  • -3(-9v-4)-2(v-2)????
    12·1 answer
  • Wouldn’t it be the 3rd answer 1/3 + 1/4 because you have to convert the dominators into 12 then you will get 4/12 and 3/12 then
    8·1 answer
  • How many 4.2 pound bags of mulch do we need to cover 60 square yards if each bag can cover 1.25 square yards?
    11·1 answer
  • Given that 9=110 8=70 an p is parallel to q did I fill this out right?
    13·2 answers
  • a bag contains 10 yellow marbles 14 Blue Marble 7 red marbles and 9 green marbles. jack reaches in and grabs a marble, then with
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!