Answer:
The tax rate is approximately 6.75%
Step-by-step explanation:
In the question it is required to find the amount added to the total cost as tax
The given parameters are;
The Manufacturer's Suggested Retail Price, MSRP, of the automobile, MSRP = $27,853.00
The dealer prep charge, PPC = $278.50
The title fee, T = $25.00
The cost of the options added (leather, fridge, etc.), Op = $2,375.50
The total cost, C = $32,591.22
Let 'x' represent the the tax rate,
Therefore, we have;
32,591.22 = x × (27,853 + 278 + 2,375.5) + 27,853 + 278 + 2,375.5 + 25
32,591.22 = 30,506.5·x + 30,531.5
32,591.22 - 30,531.5 = 30,506.5·x
∴ 2,059.72 = 30,506.5·x
x = 2,059.72/30,506.5 = 0.06751741432 ≈ 0.0675
The tax rate, x ≈ 0.0675 = 6.75%
need help for this question pls urgent
Here are the marks of a student in four exams.
65 80 76 69
The student takes a fifth exam.
His mean mark for the five exams is 70
Work out his mark in the fifth exam.
Answer:
61 marksStep-by-step explanation:
Given,
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
Therefore,
By the problem,
[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]
[tex] = > \frac{289 + x}{5} = 70[/tex]
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
Hence,
Marks of the fifth exam is 61 (Ans)
Discuss the history of algebra. Discuss some of the key developments in the field of algebra
Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?
Answer:
It is safe
Step-by-step explanation:
Using trigonometry :
Cosθ = adjacent / hypotenus
Hypotenus = length of ladder = 12 feets
Adjacent = distance between ladder and wall = 3 feets
Cosθ = 3 /12
Cosθ = 0.25
θ = cos^-1(0.25)
θ = 75.522°
To be safe ladder must be between (70 - 85)°
Sijce ladder is at an elevation of 75.22° ; then it is safe.
Three students wrote expressions on their dry-erase boards.
Which students wrote equivalent expressions?
Student 1 (((( Student 2 ((((( Student 3
-5r + 3s + 1 / / -(5r - 3s + 1) // -5r + 3s -1
Answer:
Student 2 and Student 3
Step-by-step explanation:
Student 2
-(5r - 3s + 1)
= - 5r +3s - 1
Student 3
= - 5r +3s - 1
hello i need help whit this in math
i dont know how to do this
Answer:
y ≥ 1
since the graph starts at 1 and doesn't come below that
Answer:
BI hoped this helped :))
The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?
Answer:
18.78 minutes is my opinion
Step-by-step explanation:
3 ml is filled in 1 minute
1 ml is filled in 1/3 minutes
20 ml is filled in 1/3*20 minutes
=6.22
75 ml is filled in 1/3*75 minutes
=25
25-6.22=18.78
hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
Answer:
10/1
Step-by-step explanation:
You do
6÷ 3/5
Flip the 3/5 then multiply
6 ° 5/3
Reduce the numbers with the greatest common factor 3
So 2•5
And that's 10
Ans is 10.
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5/3 = 30/3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30/3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.
Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )
What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Answer:
[tex] - \frac{5}{2} [/tex]
Step-by-step explanation:
4x -10y= 40
Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.
10y= 4x -40
Divide both side by 10:
[tex]y = \frac{2}{5} x - 4[/tex]
The product of the gradients of perpendicular lines is -1.
⅖(gradient of line)= -1
Gradient of perpendicular line
[tex] = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} [/tex]
[tex] = - \frac{5}{2} [/tex]
1/2-1/6(4-1/3) simplify
Answer:
3 5/7
Step-by-step explanation:
subtract (7x - 3) -(5-3x)
Answer:
4x-8
Step-by-step explanation:
7x-3-5-3x
combine like terms
7x-3x-3-5
4x-8
unless there is a value for x then that is all i can do
hope this helps:)
Answer: 10x - 8
Step-by-step explanation:
(7x - 3) -(5-3x)
= (7x - 3) - 5 + 3x Made them without parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.
= 7x - 3 - 5 + 3x
= 7x + 3x - 3 - 5
= 10x - 8
The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answer:
Step-by-step explanation:
The relation is proportional ⇒ Graph of y = 3x goes through origin
So the answer is (B)
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
In a shipment of new cookies for a store, 4/12 of the cookies were sugar and 1/5 were oatmeal. The remainder of the cookies were chocolate chip. What fraction of the cookies were chocolate chip?
Answer:
13/15
Step-by-step explanation:
The fraction of the cookies that are chocolate chip can be determined by solving this equation
1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])
1 - [tex]\frac{20 - 12}{60}[/tex]
1 - [tex]\frac{8}{60}[/tex]
[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15
In ΔRST, the measure of ∠T=90°, the measure of ∠R=24°, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Sarah paid $16.50 for 3 yards of fabric. how much did Sarah pay for each yard of fabric
Answer5.5:
Step-by-step explanation:
Divided 16.50 by 3
Answer:
5.50
Step-by-step explanation:
16.50 divided by 3 5.50
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?
Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So
[tex]\frac{1}{9} + p = 1[/tex]
[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Find the radius x of a
Answer:
This doesn’t add up because the hypotenuse is supposed to be the longest side
Step-by-step explanation:
Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.
Answer:Number of coins that are quarters =60
Step-by-step explanation:
Total coins in possession of Eric=240
Number of coins that are pennies=11\20 x 240= 132
Number of coins that are nickels=4\20 x 240= 48
Since the rest are quarters,
Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)
=240-(132+48)
=240-180
=60
The figure shows secant GC and tangent GB intersecting to form an angle. Find x and y. If necessary, round to the
tenths place.
A X= 52.5
V = 30
B. = 54
= 60
C. X = 52.5
y = 93
D. 7 - 106.5
y = 60
Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in
Answer:
Step-by-step explanation:
Circumference of a circle = 2πr
Area of circle = πr²
Here, r = radius of the circle
1). For radius = 1.7 units
Circumference = 2π(1.7)
= 2(3.14)(1.7)
= 10.676
≈ 10.7 units
Area of the circle = π(1.7)²
= 3.14(1.7)²
= 9.0746
= 9.1 units²
2). For radius = 14 ft
Circumference of the circle = 2π(14)
= 28(3.14)
= 87.92
≈ 87.9 ft
Area of the circle = πr²
= 3.14(14)²
= 615.44
≈ 615.4 ft²
3). For radius = 9 in.
Circumference = 2π(9)
= 18π
= 56.52
≈ 56.5 in
Area of the circle = π(9)²
= 81π
= 254.34 in²
≈ 254.3 in²
Two customers took out car loans from a bank.
Robert took out a 4-year loan for $30,000 and paid 4.9% annual simple interest.
Susan took out a 6-year loan for $30,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Robert and Susan paid for their car loans?
Enter your answer in the box.
$
Answer:
2200 i took the test got a 100
Step-by-step explanation:
Answer:
The answer is actually 2220!
Step-by-step explanation:
THIS IS MY LAST QUESTION. Okay, im a bit anxious to get this done. Ive done half the problem, I just need the other half.
Answer:
umef leaf ninja the frog held a
a universally accepted principle which does not require proof.
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answer:
7m^2n (i think)
Step-by-step explanation:
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
If lm=13 and ln=20 what is the length of mn
Answer: 7
Step-by-step explanation:
Total=LN
Piece= LM
Total-piece
LN-LM=MN
20-13=7
MN=7
Answer:
its 7
if you subtract LM and LN you get 7
Is the answer to the problem below correct? If yes, why? If not, what mistake(s) were made in solving the
problem an what is the correct answer?
Step 1: 12 = -2(x - 4) - 8
Step 2: 12 = -2x - 8 - 8
Step 3: 12 = -2x - 16
Step 4: 28 = -2x
Step 5: 26 = x
9514 1404 393
Answer:
x = -6 (correct answer)
mistakes were made in Step 2 and Step 5.
Step-by-step explanation:
The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.
Step 1: 12 = -2(x -4) -8
Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2
Step 3: 12 = -2x . . . . . . . . . . . like terms combined
Step 4: -6 = x . . . . . . . . . . . . . divide by -2
__
Check
12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK
__
Comment on other mistake
In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.
An additional mistake was made in that the answer was not checked.
Write and expression for the AREA of the figure in simplest form.
2x-12
1X-6
Answer:
2
−
1
2
1
−
6
−
1
1
9
−
6
Solution
−
1
1
9
−
6
hope this helps