Answers
Answer:
8.2%
Step-by-step explanation:
To find the sales tax percentage, we need to determine how much of the total price was due to sales tax. To do this, we can subtract the price of the cupboard from the total price:
$92.82 - $85.78 = $7.04
So the sales tax was $7.04. We can then divide the sales tax by the price of the cupboard and multiply by 100% to find the sales tax rate as a percentage:
$7.04 / $85.78 * 100% = 8.2%
Rounding to the nearest tenth, the sales tax rate was 8.2%.
Answer:
8.2% (rounded to the nearest tenth)
Step-by-step explanation:
$92.82-$85.78= $7.04
100%= $85.78
1%= $85.78÷100
= $0.8578
$7.04÷$0.8578= 8.2% (rounded to the nearest tenth)
Related Questions
An automat machine make good pieces with a probability 0,96. Wich are the chances that the two piece is wrong?
Answers
The given information states that the machine produces good pieces with a probability of 0.96, which means that there is a 0.04 probability of getting a bad piece.
To calculate the probability of getting two bad pieces in a row, we multiply the probabilities of each individual bad piece:
0.04 * 0.04 = 0.0016
So the chances of getting two bad pieces are 0.0016, or 0.16%. This means that out of 100 tries, you would expect to get two bad pieces in a row 0.16 times.
It's vital to remember that independent events, like obtaining two terrible pieces, have probabilities that are determined by multiplying the individual possibilities.
This is based on the idea of the multiplication rule of probability, which states that the likelihood of two unrelated events occurring simultaneously is the sum of the probabilities of each event occurring separately.
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The population of the Vatican is 10-4 million and the population of India is 10³ million. How many times more is the population of India than the Vatican? Leave your answer in the form a^b. times more
Answers
Answer:
10²
Step-by-step explanation:
assume you typed 10.4 million
so 10³/10.4 ≈ 10²
A man and a woman receive a monthly salary of gh3725 and gh2962 respectively. Find their total income after 3 and half years
Answers
Answer:
gh280,854
Step-by-step explanation:
You want the total income after 3 and half years of a man and a woman who receive a monthly salary of gh3725 and gh2962 respectively.
TotalYou can add up the income from each of the months for each of them, or you can use multiplication to simplify the problem.
The total income each month is ...
gh3725 +gh2962 = gh6687
The total received in 42 months is ...
42 × gh6687 = gh280,854
Their total income after 3 1/2 years is gh280,854.
__
Additional comment
There are 12 months in a year, so ...
3×12 +1/2×12 = 36 +6 = 42
months in 3 1/2 years.
HELP ME PLEASE!!! 15 POINTS
In the diagram, KG, JF, AE and AH intersect at point A. Use this diagram for problems 1-3.
1. Describe the relevant angle relationships in the diagram.
2. Write and solve an equation to find the value of x.
3. What are the measures of ZJAH and ZGAH?
Answers
The relevant angle relationship in the diagram is that the total angle of line JKEF = the total angle on line JHGF.
The value of X = 20
The measures of ZJAH and ZGAH = 60° and 100° respectively.
How to solve the equation used to fine the missing value of X?To find the value of X, the angle of the straight line = 180°
Therefore, 3x+5x+X = 180
180 = 9x
X = 180/9
X = 20
Therefore the measures of <JAH = 3 × 20 = 60°
the measure of <GAH = 5×20 = 100°
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Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 0.25, find tan ∠A. tan ∠A =
Answers
The solution of the given problem of triangle comes out to be tan ∠A = 0.25.
What exactly does a triangle mean?Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners.
Here,
Since △ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.
Using the fact that tan ∠B = opposite/adjacent, we can set up a ratio using a common factor, x, for the opposite and adjacent sides of ∠B:
tan ∠B = 0.25 = opposite/adjacent = x/4x
Simplifying the right side, we get:
0.25 = x/4x = 1/4
Multiplying both sides by 4x, we get:
x = 4
So the opposite side of ∠B has length x = 4, and the adjacent side has length 4x = 16.
Using the Pythagorean theorem, we can find the length of the hypotenuse of △ABC:
c² = a² + b²
c² = 4²+ 16²
c² = 256
c = √256
c = 16
Now, we can use the fact that tan ∠A = opposite/adjacent to find tan ∠A:
tan ∠A = opposite/hypotenuse = 4/16 = 1/4
Therefore, tan ∠A = 0.25.
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A salesman sold 75 percent of his first shipment of 800 units. How many of his next shipment of 600 units must he sell in order to have sold 80 percent of all of the units?
Answers
He must sell 520 units from the second shipment in order to have sold 80 percent of all of the unit.
This is mathematical equations.
The salesman sold 75% of 800 units, so he sold 0.75 * 800 = 600 units from the first shipment.
The salesman wants to sell 80% of all the units, which is a total of 0.80 * (800 + 600) = 0.80 * 1400 = 1120 units.
To find out how many units he must sell from the second shipment, we subtract the number of units he has already sold from the number of units he wants to sell:
1120 units - 600 units = 520 units.
Therefore, the salesman must sell 520 units from the second shipment in order to have sold 80% of all the units.
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WILL GIVE brainliest
Answers
Answer:
Step-by-step explanation:
Distribute.
4xb and 4x-0.17b
C. 4b - 0.68b
Travis decided to make a frame for his birthday. The frame will be cut out of a piece of steel, and the final area of the frame should be 30in². The inside of the frame has to be 11in by 6 in The area of the piece of steel before cutting out the frame is A = (11+2x)(6+2x)in²
Answers
Answer:
To make a frame with an area of 30in², Travis needs to cut out a piece of steel with an area of A = (11+2x)(6+2x)in², where x is the width of the frame. The inside of the frame must be 11in by 6in, so the width of the frame must be x = (30 - 11*6)/4 = 2.25in. The total area of the piece of steel must therefore be A = (11+2*2.25)(6+2*2.25) = 30in².
Step-by-step explanation:
To determine the value of x that will result in a final area of the frame of 30in², we can use the equation for the area of the piece of steel before cutting out the frame:
A = (11 + 2x)(6 + 2x)
We can expand this expression to get:
A = 66 + 44x + 12x^2
Since the inside of the frame has to be 11in by 6in, the area of the frame is 11 * 6 = 66in². So, we want to find the value of x that will result in the area of the piece of steel being equal to the area of the frame plus 30in². This means we want to find the value of x that will satisfy:
66 + 44x + 12x^2 = 96
Expanding the left-hand side of this equation and collecting like terms, we get:
12x^2 + 44x = 30
Dividing both sides of the equation by 12, we get:
x^2 + 3.67x = 2.5
To solve for x, we can use the quadratic formula or factoring. Once we have found the value of x, we can use it to determine the dimensions of the piece of steel before cutting out the frame.
50 POINTS. PLS REFER TO PICTURE
Answers
The correct answer is:
Function f is translated to the right 7 units.
Function f is translated down 4 units
2y8x = 20
y = [?]x +
Answers
Find the value of x [6x-1] [10x+5]
Answers
Answer:
x = 6
Step-by-step explanation:
You want the value of x in the geometry where an angle bisector has divided a triangle into sides 42 and (6x-1), and corresponding sides 78 and (10x+5).
ProportionThe angle bisector divides the sides of the triangle proportionally:
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . . multiply by 546
78x -13 = 70x +35 . . . . . . . simplify
8x = 48 . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . divide by 8
Doris and Miguel are saving money weekly but at different rates. Doris
and Miguel both write and graph equations to represent their savings. In
both equations y represents the amount in savings account after x
number of weeks. When the equations are graphed, the lines intersect at
the point (6,114). Which statement best explains the point of
intersection?
Miguel will have $114 more than Doris after 6 weeks.
Doris will have $114 more than Miguel after 6 weeks.
Doris and Miguel will have the same amount after 6 weeks.
Doris and Miguel will have the same amount after 114 weeks.
Answers
Answer:
Doris and Miguel will have the same amount after 6 weeks.
Step-by-step explanation:
if 6 is the amount of weeks and 114 is the savings, then the point that the lines will cross at represents 114 dollars after 6 weeks. this means that after six weeks, both doris and miguel will have 114 dollars.
PLEASE HURRY! You encounter the following statement and explanation when reviewing a report at your finance job: (14^0/14^3)^1/3=14^-2/3 They are equivalent because (14/14^3)^1/3=(14^-2)^1/3
You notice this statement and explanation in the report are wrong. explain why it is wrong and give the correct answer.
Answers
The expressions are not equal and the explanation is wrong because the index forms have different exponential values.
The correct answer is 14^-1/3
How to determine the correct optionEquivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.
From the information given, we have the index forms;
(14^0/14^3)^1/3=14^-2/3
It is important to note that exponents with zero equals 1.
Then, we have that;
1/14^1/3 = 14 ^-2/3
Take the inverse of the exponent
14^-1/3 is not equal to 14^-2/3
Hence, the correct answer is 14^-1/3
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one half of three fourths of a number is 20 less than two fifths of the same number. what is the number?
Answers
We divided both sides of the equation by (3/8) to get x = (40/3), the number is 40/3.
Let the number be x.
Then one half of three fourths of x can be expressed as [tex](3/4)*(1/2)*x = (3/8)*x[/tex]
Two fifths of x can be expressed as[tex](2/5)*x[/tex]
Therefore, according to the given statement, [tex](3/8)*x = (2/5)*x - 20[/tex]
Solving for x, we get: x = (40/3)
Therefore, the number is 40/3.
To calculate this, we first wrote the given statement in terms of fractions. Then we used algebraic manipulation to solve for x. We multiplied both sides of the equation by the LCD, 40, to get [tex]40*(3/8)*x = 40*(2/5)*x - 20*40[/tex]. Then we combined like terms to get ([tex]3/8)*x + 20*(5/8)*x = 40[/tex]. Then we subtracted [tex]20*(5/8)*x[/tex] from both sides to get [tex](3/8)*x = 40 - 20*(5/8)*x[/tex]. Finally, we divided both sides of the equation by (3/8) to get x = (40/3). Therefore, the number is 40/3.
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In the figure, the octagon is formed by two overlapping squares. The overlapping region is also a square. The larger square has a length of 6cm. The smaller square has one corner at the center of the larger square and the smaller square has a length of 4cm. How many centimeters is the permeter of the octagon?
Answers
So the perimeter of the octagon is approximately 45.25 centimeters (rounded to two decimal places).
What is perimeter ?In geometry, a shape's perimeter is sometimes referred to as its total length. By adding up the lengths of all of an object's sides and borders, one can determine the circumference of something such as a form. The perimeter of a form can be calculated by adding up all of the edges' lengths. For instance, a rectangular with dimensions of 24 yards long as well as 15 yards wide will have a 78 yard perimeter.
Here,
To find the perimeter of the octagon, we need to determine the length of each side of the octagon.
First, let's find the length of the diagonal of the smaller square. We can use the Pythagorean theorem:
d²=4² + 4²=
d² = 16+16 =32
d = √32
=> d = 4√2
This diagonal of the smaller square is also the side length of the overlapping square.
Next, let's find the length of one of the sides of the larger square that overlaps with the smaller square. Since the length of the larger square is 6cm, the side length of the overlapping region (part of the larger square that overlaps with the smaller square) is:
6 - 4√2
Finally, the length of one of the sides of the octagon is the sum of the side lengths of the two squares that overlap, minus the side length of the overlapping square (since this side is counted twice):
=> 6 + 6 - 4√2 - 4√2 - (6 - 4√2)
Therefore, the perimeter of the octagon is:
=>8 (12 - 6√2) = 96 - 48√2
So the perimeter of the octagon is approximately 45.25 centimeters (rounded to two decimal places).
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Cheko and Sharko started running at the same time and starting point in a circular stadium. Cheko took 7 minutes to complete a round while Sharko took 6 minutes to complete a round. They started at 9.00 a.m. What time will they meet at the starting point again?
Answers
Time is 9:42 a.m. when they meet will at the starting point again.
We have, Cheko and Sharko started running at the same time and starting point. The shape of ground or stadium is circular. Time taken by Cheko to complete the one round of stadium
= 7 minutes
Time taken by Sharko to complete the one round of stadium = 6 minutes.
At 9.00 a.m, both are start running together. We have to calculate time they will meet at the starting point again. So, they will starting together after LCM ( 7, 6) minutes. LCM stands for least common multiple of 7 and 6. The factors of 7 and 6 are the following, 7 = 1×7
=> 6 = 2× 3 × 1
So, LCM (6,7 ) = 2×3×7×1 = 42 minutes
Thus, the again starting time = 9:00 a.m. + 42 minutes = 9: 42 a.m.
Hence, the required time is 9: 42 a.m.
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a sequence can be defined by an = an-1 + an-2 where a0 = 0 and a1 = 1. What are the first 6 terms of the sequence?
Answers
The first six terms of the sequence are 1, 1, 2, 3, 5 and 8. The solution has been obtained by using arithmetic progression.
What is arithmetic progression?
In an arithmetic progression (AP) sequence of numbers, there is always the same amount of difference between any two subsequent integers. Arithmetic Sequence is another name for it.
We are given a sequence as a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + a[tex]_{n-2}[/tex] where a₀ = 0 and a₁ = 1.
So, the first term is a₁ = 1
The second term is
a₂ = a₂₋₁ + a₂₋₂
a₂ = a₁ + a₀
a₂ = 1
The third term is
a₃ = a₃₋₁ + a₃₋₂
a₃ = a₂ + a₁
a₃ = 1 + 1
a₃ = 2
The fourth term is
a₄ = a₄₋₁ + a₄₋₂
a₄ = a₃ + a₂
a₄ = 2 + 1
a₄ = 3
The fifth term is
a₅ = a₅₋₁ + a₅₋₂
a₅ = a₄ + a₃
a₅ = 3 + 2
a₅ = 5
The sixth term is
a₆ = a₆₋₁ + a₆₋₂
a₆ = a₅ + a₄
a₆ = 5 + 3
a₆ = 8
Hence, the first six terms of the sequence are 1, 1, 2, 3, 5 and 8.
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what is the slope of the line shown below? (-2,5) (3,-5)
Answers
Answer: -2
Step-by-step explanation: use the slope formula.
Mark also has a 1:40 model Phantom II plane.The real Phantom II has a wingspan of 465”. What’s the wing span of the model in inches.
“=inches
Answers
The wing span of the 1:40 model Phantom II is 18.31 inches.
What is unit conversion?
A unit conversion is a conversion with different units of measurements of same quantity. It is a process with multiple steps that involves multiplication or division by particular factor.
Wingspan of real Phantom II =465''(in millimeter)
1 inch = 2.54 cm⇒25.4 mm.
465''=[tex]\frac{465}{25.4}[/tex]
= 18.31 inches.
Hence, wingspan of the model 1:40 model Phantom II in inches is 18.31.
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If 6 Gardner's can now the grass of a soccer field in 2 hours how many gardeners can mow the same field in 3 hours
Answers
The same field can be mowed in 3 hours by 2 gardeners.
A soccer field may be mowed by 6 gardeners in 2 hours, meaning each one works at a rate of 1/6 of the field per hour.
We must ascertain the rate at which the field can be mowed in 3 hours, which is 1/3 of the field every hour, in order to establish the number of gardeners required to mow the same field in that amount of time.
We divide this rate by the rate of each gardener, which is 1/6 of the field each hour, to determine the required number of gardeners, resulting in the equation 1/3 / 1/6 = 2.
Hence, 2 gardeners can mow the same field in 3 hours.
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How Much SAND lol
Please Help
Answers
Step-by-step explanation:
Volume.
[tex]v = lwh[/tex]
[tex]l = 20 \: w = 18 \: h = 0.5[/tex]
We just multiply these three numbers.
[tex](20)(18)(.5) = 180[/tex]
[tex]180 {ft}^{3} [/tex]
Identify the like terms in the expression:
-12x +15y -17x +16y
Answers
ASAP pls
The graph shows two accounts with the same principal and annual interest rate. Use the graph to estimate the answer to each question. Show your workAbout how much more compound interest than simple interest is earned after 35 years? Remember to show your work. About how much more compound interest than simple interest is earned after 45 years? Remember to show your work.
Answers
About $6,000 more compound interest than simple interest is earned after 35 years, and about $12,500 more compound interest than simple interest is earned after 45 years.
What is a graph ?
A graph is a visual representation of data that shows the relationship between two or more variables. It is a way of presenting information in a clear and concise manner that makes it easy to interpret and understand.
Graphs can be used to show trends over time, compare different groups or categories, or illustrate the relationship between two or more variables.
Since the graph shows the balance for two accounts with the same principal and annual interest rate, we can assume that one account is earning simple interest while the other is earning compound interest.
To estimate the amount of compound interest earned after 35 years, we can look at the difference in balance between the two accounts at that time. From the graph, we can see that the balance for the simple interest account after 35 years is approximately $4,000, while the balance for the compound interest account is approximately $10,000. Therefore, the amount of compound interest earned after 35 years is approximately:
$10,000 - $4,000 = $6,000
To estimate the amount of compound interest earned after 45 years, we can again look at the difference in balance between the two accounts at that time. From the graph, we can see that the balance for the simple interest account after 45 years is approximately $5,500, while the balance for the compound interest account is approximately $18,000. Therefore, the amount of compound interest earned after 45 years is approximately:
$18,000 - $5,500 = $12,500
Therefore, about $6,000 more compound interest than simple interest is earned after 35 years, and about $12,500 more compound interest than simple interest is earned after 45 years.
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the cost of living increased by 2% one year. the next year it increased by 3%. work out the total percentage increase over these two years
Answers
Answer:
5.06%
Step-by-step explanation:
x = cost of living....then increase it 2 %
1.02 x = new cost of living now increase this 3 %
(1.03) 1.02x = 1.0506x which equates to 5.06% increase in 2 years
Which of the following expressions is equivalent to -1/4 - 5/3
Answers
Step-by-step explanation:
the first one because positive (+) x negative (-) = negative (-), so it give you the negative sign in the middle
pls help, geometry !!!!!! NEED HELP ASAP
Answers
Step-by-step explanation:
what is the question ?
without an actual question I can only "daydream" things about this information.
EB is the diameter, FB is therefore the radius.
since FB = 3 units, EB = 2×FB = 2×3 = 6 units.
the arc angle AB = 120°.
if you need to express the angle in radians, remember :
360° (the full circle) = 2pi
120° = 360/3 = 2pi/3
the arc angle AE is the supplementary angle to AB (both together have 180° or 2pi/2 = pi).
180 = AB + AE = 120 + AE
AE = 180 - 120 = 60°
60° = 360/6 = 2pi/6 = pi/3
the arc angle BC = 45°.
45° = 360/8 = 2pi/8 = pi/4
the arc angle CD = 30°
30° = 360/12 = 2pi/12 = pi/6
the arc angle ED is the supplementary angle to BC and CD.
180 = ED + BC + CD = ED + 45 + 30 = ED + 75
ED = 180 - 75 = 105°
105° = pi - pi/4 - pi/6 = 12pi/12 - 3pi/12 - 2pi/12 = 7pi/12
the sum of
AB + BC + CD = 2pi/3 + pi/4 + pi/6 =
= 4×2pi/12 + 3pi/12 + 2pi/12 =
= 8pi/12 + 3pi/12 + 2pi/12 = 13pi/12
so, nothing fits to any of your answers.
again, I am not sure what problem you need to solve here.
maybe you can build your answer out of the various pieces I gave you here.
At what point do the graphs of the lines below intersect?
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=
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y=9x+2
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=
−
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+
12
y=−3x+12
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5
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−
13
)
(−
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(
−
7
6
,
15
1
2
)
(−
6
7
,15
2
1
)
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5
6
,
9
1
2
)
(
6
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Answers
The solution of the equations y = 9x + 2 and y = - 3x + 12 will be (5/6, 19/2). Then the correct option is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
y = 9x + 2 ...1
y = - 3x + 12 ...2
From equations 1 and 2, then we have
9x + 2 = - 3x + 12
12x = 10
x = 5 / 6
Then the value of 'y' is given as,
y = 9(5/6) + 2
y = 15/2 + 2
y = 19 / 2
The solution of the equations y = 9x + 2 and y = - 3x + 12 will be (5/6, 19/2). Then the correct option is C.
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PLEASEE HELPPP LOOK AT IMAGE
Answers
Answer:
y = 3(2)^x
Step-by-step explanation:
If we look at the x and y values, we see that the xs' increase by 1 each time, while the ys' double (12*2 = 24, 24 *2 = 48 etc.).
Because the value doubles each time, we know that this is an exponential equation, and the base (b) is 2.
The general form (as shown) is y = a(b)^x, where a is the initial value (y-intercept or value of y when x = 0) and b is the base.
We can find a by plugging in one x and y coordinate and 2.
For example, we can use (1, 6) to solve for a:
[tex]y=a(b)^x\\6=a(2)^1\\6=a(2)\\3=a[/tex]
complete the equivalent fractions
please help
brainly i have 19 mins left
Answers
Answer:
4) 175
5) 2
6) 72
7) 48
8) 45
9) 5
10) 18
11) 3
12) 10
13) 30
14) 12
15) 1
16) 2
17) 2
18) 8
Step-by-step explanation:
The easiest way to do this is to cross-multiply.
Ans:
Q4. 175
Q5. 2
Q6. 72
Q7. 48
Q8. 45
Q9. 5
Q10. 18
Q11. 3
Q12. 10
Q13. 30
Q14. 12
Q15. 1
Q16. 2
Q17. 2
Q18. 8
15 more than twice a number is 37. Wht is the number
Answers
A number which is 15 more than twice a number is 37 is 11.
Let the number be N.
Let's set up the equation.
A number is 15 more than twice a number is 37,
2N + 15 = 37
Let's subtract 15 from both sides.
2N = 22
Divide both sides by 2, and you get
N = 11
So the number which is 15 more than twice a number is 37 is 11.
A number system is a means of representing numbers. It is a method of representing numbers in a set of numbers consistently by using digits or other symbols. Each number receives a unique representation as well as information about the arithmetic and algebraic structure of the numbers. Addition, subtraction, multiplication, and division are just a few of the mathematical operations we may carry out using it.
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