after a 16% price reduction, a boat sold for $22,680. What was the boats price before the reduction?
A)$26,308.80
B)$27,000
C)3628.80
D)$141,750.00
Answers
Answer:
B 27000
Step-by-step explanation:
multiply each answer by .84 the only one that = 22680 afterward is 27000
Related Questions
HELP ILL GIVE BRAINLIST
Answers
Answer:
its b i did the test
Step-by-step explanation:
HELP PLS I WILL MARK BRAINLIEST!!
Answers
What is the volume of this sphere? Use = 3.14 and round your answer to the nearest hundredth. cubic inches
Answers
We are asked to find the volume of the given sphere.
Recall that the volume of a sphere is given by
\(V=\frac{4}{3}\cdot\pi\cdot r^3\)Where π is a constant and r is the radius of the sphere.
Also, recall that the radius is half of the diameter.
\(r=\frac{D}{2}\)For the given problem, the diameter of the sphere is 2 in
\(\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot r^3 \\ V=\frac{4}{3}\cdot\pi\cdot(\frac{D}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(\frac{2}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(1)^3 \\ V=\frac{4}{3}\cdot3.14\cdot1 \\ V=4.1867 \\ V=4.19\: in^3\quad (\text{rounded to nearest hundredth)} \end{gathered}\)Therefore, the volume of the given sphere is 4.19 cubic inches.
In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answers
$dfrac{sinangle W}{320}=dfrac{sin169°}{740}$
Multiplying both sides by 320, we have:
$sinangle W=dfrac{320sin169°}{740}$
Using a calculator, we find that $sinangle W approx 0.7555$. Taking the inverse sine of both sides, we have:
$angle W approx sin^{-1}(0.7555)$
There are two possible values for $angle W$: $angle W approx 49.5°$ and $angle W approx 130.5°$ (since $sin^{-1}(0.7555) approx 49.5°$ and $angle W = 180° - sin^{-1}(0.7555) approx 130.5°$).
Therefore, the two possible values of $angle W$ are approximately 49.5° and 130.5°.
At a discount store,all DVDs have the same price. Chan bought 6 DVDs and paid a total of $62.87,which includes $2.99 in sales tax.What is the first step in finding the cost of one DVD? Complete the drip diagram to solve the first step. Please help!!!
Answers
Step-by-step explanation:
Answer
The price of 6 DVDs, including sales tax = $62.87
Sales tax = $2.99
Required:
The cost of one DVD.
Explanation:
Step 1: Price of 6 DVDs excluding sales tax.
The price of 6 DVDs excluding sales tax = $62.87 - $2.99 = $59.88
Step 2: Use the Unitary Method:
According to the question,
6 DVDs price = $59.88
1 DVD price excluding sales tax = $ 59.88/6
Can someone please help i would really appreciate it
Answers
Answer:
[0, -7, 1]
[0, 3, 4]
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Answers
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Lorenzo and his sister, Mariana, are decorating gingerbread houses. They want to make grass, so they turn their icing green by mixing yellow and blue food coloring. Both of them use the same amount of yellow food coloring, but Mariana adds less blue food coloring than Lorenzo. Whose icing is a darker shade of green?
Answers
Answer:
lorenzo
Step-by-step explanation:
because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)
Answer:
Lorenzo's icing.
Step-by-step explanation:
They both used the same amount of yellow icing, but if Mariana adds less blue food coloring, then Lorenzo's icing will be darker because he added more blue than Mariana.
Fill in the blanks to complete the steps of this word problem: Moby can use his jetpack to travel 240 miles in 4 hours. How far can he travel in 10 hours?
Answers
Answer:
Well 240 divided by 4 equals 60 which is how many miles he can travel in 1 hour.
Step-by-step explanation:
So 60 multiplied by 10 equals 600.
That means Moby can travel 600 miles on his jetpack in 10 hours
Hope this helps :)
240 • 2 = 600
Final answer 600
A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. (Hint use Logarithms)
Answers
Actual time is much longer than the 50-year timeframe suggested by the speaker.
How to verify the statement?
This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.
To verify this claim, we can use the following formula to calculate the expected total pollution after n years:
Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)
Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.
We can set the expected total pollution after n years equal to the present pollution level and solve for n:
\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)
Simplifying this equation, we get:
\(1 = 1.03^n \times 0.2^n\)
Taking the logarithm of both sides of the equation, we get,
\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)
Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.
It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.
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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answers
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
Determine whether the System of equations 3x+y=-5; 3y+15=-9x
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
The given system of equations are :
3x+y=-5 ...(1)
3y+15=-9x
y+5 = -3x
or
3x+y = -5 ....(2)
Here, \(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}\)
It means, two lines are coincident. It means they have infinitely many solutions.
A student is attempting to convert a slope-intercept equation into standard form. Which of the following statements best applies to the sample math given below? Given y=1/4x+2 I first isolate the constant. After doing so, I get the equation -1/4x+y=2 To remove the fraction, I multiply by –4, giving the equation x-4y=2 which is the final answer. A. the work shown to isolate the constant is not correct B. the work shown to remove all fractions is not correct C. the final answer is not in standard form D. the work shown is correct
Answers
The statement that applies to the sample math is:
B. the work shown to remove all fractions is not correct
How to change the subject of the formula?The given steps are:
y = ¹/₄x + 2
- I first isolate the constant.
- After doing so, I get the equation: -¹/₄x + y = 2
- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.
The correct steps are as follows:
y = ¹/₄x + 2
First isolate the constant to get: y - ¹/₄x = 2
To remove the fraction, Multiply the obtained equation by –4
So, Equation : x - 4y = -8
On comparing both the work we can see that in the given work the removal of fraction is done incorrectly
They didn't multiply -4 on the right hand side .
Thus, option B applies.
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(a) Represent this information as two coordinate
pairs in the form (h,g), where h is the
number of hours driven and g is the gallons of
gas left.
helpp!!
Answers
Answer:
i dont asssiocte with n..
Step-by-step explanation:
Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
Answers
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
Maximum: x = -0.3.Minimum: x = 2.3.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
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Mystery Boxes: Breakout Rooms
The boxes below contain 14 numbers, listed in order, of which 6 have been removed. Your job is
to use the clues given to determine the missing numbers. Write your answers in the boxes.
• The mean is 26
• The median is 22
The interquartile range is 20
The mode is 18
. The range is 60
1
4
15
18
29
30
32
58
Answers
Answer:
\(\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}\)
Step-by-step explanation:
Given
\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {[ \ ]} \\ \end{array}\)
Required
Fill in the box
From the question, the range is:
\(Range = 60\)
Range is calculated as:
\(Range = Highest - Least\)
From the box, we have:
\(Least = 1\)
So:
\(60 = Highest - 1\)
\(Highest = 60 +1\)
\(Highest = 61\)
The box, becomes:
\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
From the question:
\(IQR = 20\) --- interquartile range
This is calculated as:
\(IQR = Q_3 - Q_1\)
\(Q_3\) is the median of the upper half while \(Q_1\) is the median of the lower half.
So, we need to split the given boxes into two equal halves (7 each)
Lower half:
\(\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } \\ \end{array}\)
Upper half
\(\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
The quartile is calculated by calculating the median for each of the above halves is calculated as:
\(Median = \frac{N + 1}{2}th\)
Where N = 7
So, we have:
\(Median = \frac{7 + 1}{2}th = \frac{8}{2}th = 4th\)
So,
\(Q_3\) = 4th item of the upper halves
\(Q_1\)= 4th item of the lower halves
From the upper halves
\(\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
We have:
\(Q_3 = 32\)
\(Q_1\) can not be determined from the lower halves because the 4th item is missing.
So, we make use of:
\(IQR = Q_3 - Q_1\)
Where \(Q_3 = 32\) and \(IQR = 20\)
So:
\(20 = 32 - Q_1\)
\(Q_1 = 32 - 20\)
\(Q_1 = 12\)
So, the lower half becomes:
Lower half:
\(\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {12 } & {15} & {18}& {[ \ ] } \\ \end{array}\)
From this, the updated values of the box is:
\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
From the question, the median is:
\(Median = 22\) and \(N = 14\)
To calculate the median, we make use of:
\(Median = \frac{N + 1}{2}th\)
\(Median = \frac{14 + 1}{2}th\)
\(Median = \frac{15}{2}th\)
\(Median = 7.5th\)
This means that, the median is the average of the 7th and 8th items.
The 7th and 8th items are blanks.
However, from the question; the mode is:
\(Mode = 18\)
Since the values of the box are in increasing order and the average of 18 and 18 do not equal 22 (i.e. the median), then the 7th item is:
\(7th = 18\)
The 8th item is calculated as thus:
\(Median = \frac{1}{2}(7th + 8th)\)
\(22= \frac{1}{2}(18 + 8th)\)
Multiply through by 2
\(44 = 18 + 8th\)
\(8th = 44 - 18\)
\(8th = 26\)
The updated values of the box is:
\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
From the question.
\(Mean = 26\)
Mean is calculated as:
\(Mean = \frac{\sum x}{n}\)
So, we have:
\(26= \frac{1 + 2nd + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 12th + 58 + 61}{14}\)
Collect like terms
\(26= \frac{ 2nd + 12th+1 + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 58 + 61}{14}\)
\(26= \frac{ 2nd + 12th+304}{14}\)
Multiply through by 14
\(14 * 26= 2nd + 12th+304\)
\(364= 2nd + 12th+304\)
This gives:
\(2nd + 12th = 364 - 304\)
\(2nd + 12th = 60\)
From the updated box,
\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)
We know that:
The 2nd value can only be either 2 or 3
The 12th value can take any of the range 33 to 57
Of these values, the only possible values of 2nd and 12th that give a sum of 60 are:
\(2nd = 3\)
\(12th = 57\)
i.e.
\(2nd + 12th = 60\)
\(3 + 57 = 60\)
So, the complete box is:
\(\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}\)
James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?
Siobhan makes $ per hour.
Answers
Answer:
$7.98 per hour
Step-by-step explanation:
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
Answers
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
Boris is making iced tea. He has a container that has a volume of 7.6 dm3 to hold the iced tea. Find how many kiloliters of iced tea will completely fill the container. Use the table of conversion facts, as needed.
Answers
The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.
How many kiloliters are required to fill a container?
This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.
According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:
x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)
x = 7.6 × 10⁻³ kL
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help asap i think i need answer
Answers
Answer:1 1/3
Step-by-step explanation:
There is your answer! :)
help please i cant figure this out
Answers
Answer:
12
Step-by-step explanation:
\(18 = \frac{n}{3} + 14\)
Subtract 14 from both sides.\(4 = \frac{n}{3} \)
Multiply both sides with 3 to get rid of fraction and isolate n.12 = n
The value of variable n in the equation is 54.
How to solve an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve the equation as follows:
We will have to find the variable n in the equation. A variable is a number represented with letter in an equation.
18 = n / 3 + 14
subtract 14 from both sides of the equation
18 = n / 3 + 14
18 - 14 = n / 3 + 14 - 14
18 = n / 3
cross multiply
n = 18 × 3
n = 54
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A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
Answers
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Dan is building bookshelves to sell at a furniture store. First, he built 3 small bookshelves and 1 large bookshelf, using a total of 156 nails. Later, he built 3 small bookshelves and 8 large bookshelves, using a total of 534 nails. How many nails does Dan use to build the shelves? Dan uses nails to make each small bookshelf and nails to make each large one.
Answers
A) A system of equations to describe the situation is:
3x + y = 156
3x + 8y = 534.
B) Based on the system of equations, Dan uses 34 nails to make each small bookshelf and 54 nails to make each large one.
What is a system of equations?A system of equations involve two or more equations solved concurrently or at the same time.
A system of equations is also called simultaneous equations.
The number of small bookshelves = 6 (3 + 3)
The number of large bookshelves = 9 (1 + 8)
The total number of nails used for the first production = 156
The total number of nails used for the second production = 534
Let the number of nails for each small bookshelf = x
Let the number of nails for each large bookshelf = y
Equations:3x + y = 156...Equation 1
3x + 8y = 534...Equation 2
Multiply equation 1 by 8
24x + 8y = 1,248...Equation3
Subtract Equation 2 from Equation 3:
24x + 8y = 1,248
-
3x + 8y = 534
21x = 714
x = 34
From Equation 1: 3x + y = 156
3(34) + y = 156
102 + y = 156
y = 54
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Solve the system of equations using subtraction. 3x−2y =−1
3x+ y =14 QUICK PLEASEE
Answers
The required values are,
x = 3
y = 5.
Linear Equation in two variables:An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero
Now in the given question,
we have two equations,
3x - 2y = -1 ......(1)
3x + y = 14 .......(2)
subtract (2) from (1), we get
-3y = -15
divide both sides by -3, we get
y = 5
now put this value of y in (2),
3x + 5 = 14
subtarct both sides by 5, we get
3x = 9
divide both sides by 3, we get
x = 3
Hence, the required values are,
x = 3
y = 5
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What are the coordinates of a point on the unit circle if the angle formed by the positive x-axis and the radius is 45? (WHO WANTS BRAINLIEST?!)
Answers
Answer:
the 45 degree angle is in the first quadrant, the coordinates are (√2/2, √2/2) (square root of 2 on the top, 2 on the bottom)
in the number 75,462.24 the digit in the tenths place is the value of the digit in the ones place.
Answers
the digit in the tenths place is ten times the value of the digit in the ones place.
the answer is A) 10 times
which mixed number is equivalent to the improper fraction of 41/10
Answers
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
PLEASE HELP
Which statement is always true? O A vertex is the intersection of two planes. O An edge is where two planes intersect in a line. O A face is the point where three planes meet. OTwo planes have to intersect each other.
Answers
Answer:
the first one
Step-by-step explanation:
it's the first one
Answer:you will have to split it in half
Step-by-step explanation:
I just did something like this
Identify the parts (include: terms, coefficients, variables and
constants) of the following expression and translate it into a
verbal expression:
2(3x - 2y) + 7
Answers
Answer:
x=9
Step-by-step explanation:
3x subtracted by 2y
is 1 then 1 multiplied by 2 is 2 then 7 + 2 is 9
PEMDAS
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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