On a recent utility bill, the water/sewer/garbage portion of the bill was $92.43. This consisted of 74% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answers
Answer:
Step-by-step explanation:
$92.43 / 0.74 = $124.91
The total bill is equal to $124.9
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, the given bill as 74% of the total bill as $92.43
Thus the total bill must be = 92.43×100/74
= $124.9
Hence, The total bill is equal to $124.9
Learn more about percentages here:
#SPJ2
Related Questions
Please solve and show work pleasee
Answers
Answer:
Step-by-step explanation:
y=-x+2 equation 1
y=3x-2 equation 2
sub equation 1 into 2
-x+2=3x-2
-x+2-3x+2 =0 (bring everything to one side and to equal 0)
-4x+4=0 (collect like terms and go with the sign given)
-4x=-4 (bring 4 over to the other side to isolate)
-4x/-4=-4/-4 (divide to isolate)
x=1
y=-3x+3 equation 1
2x+y=1 equation 2
y=-2x-1 Rearrage equation 2 (now equation 3)
sub equation 1 into 3
-3x+3=-2x-1
-3x+3+2x+1 =0 (bring everything to one side and to equal 0)
-x+4=0 (collect like terms and go with the sign given)
-x=-4 (bring 4 over to the other side to isolate)
Which of the following is INCORRECT
Answers
Answer:
A
Step-by-step explanation:
Which shows these numbers in
order from least to greatest?
7.2 x 109, 7.2 x 108, 7.02 x 108
A 7.2 x 109, 7.02 x 108, 7.2 x 108
B 7.2 x 109, 7.2 x 108, 7.02 x 108
C 7.2 x 108, 7.02 x 108, 7.2 * 109
D 7.02 x 108, 7.2 % 108, 7.2 x 109
Answers
784.8= 7.2 x 109
777.6= 7.2 x 108
7.02 x 108, 7.2 x 108, 7.2 x 109 is the answer I believe.
a sum of 2000 was invested at an annual rate of 6.5%, compounded quaterly.to the nearest dollar,how much interest was earmed on teh principal amount at the end of 10 yearsDo not round any intermediate computations, and round your answer to the nearest cent.
Answers
The interest earned on the principal amount at the end of 10 years is 1662 (rounded to the nearest dollar).
Given that the principal amount invested is 2000 and the annual rate of interest is 6.5%, compounded quarterly.
We need to find the amount of interest earned on the principal amount at the end of 10 years.
Using the compound interest formula, the future value of the principal amount after 10 years is:
\(FV = P(1 + r/n)^(nt)\)
where
P = 2000,
r = 6.5% = 0.065,
n = 4 (quarterly compounding), and
t = 10 years
So, the future value of the principal amount after 10 years is:
\(FV = 2000(1 + 0.065/4)^(4×10)= 3662.14\)
The interest earned on the principal amount is the difference between the future value and the principal amount, which is:
3662.14 - 2000= 1662.14
Therefore, the interest earned on the principal amount at the end of 10 years is 1662.
for such more question on principal amount
https://brainly.com/question/25720319
#SPJ11
A medium of exchange ?
A.) People are willing to hold onto it because they’re confident that it will keep its value over time.
B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.
C.) To use money to buy the goods and services you want.
Answers
Answer:
B
Step-by-step explanation:
In a sample of 310 people, 186 completed only high school, 24 completed only some college, 93 completed a two-year or four-year college, and 7 attended graduate school. What proportion of the sample does not have a two-year or four-year college degree
Answers
Answer:
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
Step-by-step explanation:
Sample of 310 people.
186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.
So
\(p = \frac{186+42}{310} = 0.7355\)
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
Carrie has 3gallons of paint Bryan has 10quarts of paint how many more pints do Carrie have than Bryan
Answers
Carrie has 4 more pints of paint than Bryan.
Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.
To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.
Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.
Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.
To find the difference, we subtract Bryan's pint quantity from Carrie's:
24 - 20 = 4 pints.
Therefore, Carrie has 4 more pints of paint than Bryan.
for such more question on equivalent
https://brainly.com/question/2328454
#SPJ11
Estimate the slope of the regression line manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the lifetime in thousands of holes drilled of bits at different speeds in surface feet per minute (sfm). Suppose you want to create a model that estimates the drill bit lifetime ( y) based on rotation speed ( x). Summary statistics for 20 observations collected are given below.
20 20 20 20
Σ xi = 2,000 ; Σ yi = 86.6 Σ xi^2= 216,000 Σ xiyi= 8,338
i= 1 i=1 i=1 i=1
Estimate the slope of the regression line.
a. -0.017
b.-0.037
c. -0.057
d.-0.077
Answers
Answer:
\(b_i = -0.020125\)
Step-by-step explanation:
Given
\(\sum x_i= 2000\)
\(\sum y_i= 86.6\)
\(\sum x_i^2= 216000\)
\(\sum x_iy_i = 8338\)
\(n = 20\)
Required
Determine the slope (b) of the regression line
This is calculated as:
\(b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}\)
Substitute values for each term, we have:
\(b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}\)
Simplify the numerator
\(b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}\)
Simplify the denominator
\(b_i = \frac{8338 - 8660}{216000 - 200000}\)
\(b_i = \frac{-322}{16000}\)
\(b_i = -0.020125\)
8-2n+3p has how many coefficients and how many variables??
PLEASE HELP ASAP
Answers
Answer:
2 coefficients
Step-by-step explanation:
2n,3p Are your Coefficients because they have variables
Step-by-step explanation:
-2 and 3 are coefficients while n and p are the variables
Looking for the promotional relationship
In 25 min lin can run 10 laps
Determine the # of laps she can run per minute
Answers
Answer:
котинді жеме котинди кыс
A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee plus an additional cost per minute. Plan A: $ 40 fee plus $0.45 per minute Plan B: $70 fee plus $0.35 per minute a) Write an equation to represent the cost of Plan A b) Write an equation to represent the cost of Plan B c) Which plan would be least expensive for a total of 100 minutes?
*Please Show Work*
Answers
Answer:
Plan A would be the least expensive
Step-by-step explanation:
Plan A= $0.45x100= 45, 45+40=$85
Plan B= $0.35x100= 35, 35+70= %105
(Each plan is for 100 minutes)
The changes in housing prices over short time periods are in part determined by supply and demand. A real estate company in Minnesota projected an increase in its average selling prices of homes in the first quarter of 2014 over the mean 2013 selling price of $201,800. The reason for the projection was an increase in demand due to business expansion and the subsequent increase in labor. To investigate the accuracy of the projection, a sample of homes in the first quarter of 2014 was selected and the following selling prices (in $) recorded:
235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500
Required:
a. At 5% level of significance, is there sufficient evidence to support the real estate company's projection?
b. Which statistical distribution should be applied in this situation and why? Explain carefully.
c. Discuss the consequences of Type I and Type II errors in terms of the problem.
d. Does the management at the real estate company want a small or large value of the significance level? Explain carefully.
e. Based on a 95% confidence level, estimate the actual average selling price homes in the first quarter of 2014.
Answers
Answer:
The data given is
235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500
The sample size is n = 16
The population is \(\mu = \$201,800\)
The sample mean is mathematically represented as
\(\= x =\frac{\sum x_i}{n}\)
=> \(\= x =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}\)
=> \(\= x = 218653.125\)
Generally the sample standard deviation is mathematically represented as
\(s = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)
=> \(s = \sqrt{\frac{ (235,000 - 218653.125)^2+ (271,900 - 218653.125)^2 + \cdots + (245,500 - 218653.125)^2}{16} }\)
=> \(s = 23946.896 \)
The null hypothesis is \(H_o : \mu = \$201,800\)
The alternatively hypothesis is \(H_o : \mu > \$201,800 \)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }\)
=> \(t = \frac{218653.125 - 201800 }{ \frac{23946.896 }{\sqrt{16} } }\)
=> \(t = 2.82\)
Generally the degree of freedom is mathematically represented as
\(df = n - 1\)
=> \(df = 16 - 1\)
=> \(df = 15\)
Generally the probability of \(t = 2.82\) at a degree of freedom of \(df = 15\) from the t - distribution table is
\(p-value = P( t >2.82 ) =0.00646356\)
The
From the values obtained we see that \(p-value < \alpha\)
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the real estate company's projection is true
Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution
Type I Error
The type 1 error occur when the null hypothesis is wrongfully rejected
The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still $201,800
Type II Error
The type 11 error occur when the null hypothesis is wrongfully accepted(i.e wrongfully failed to reject the null hypothesis)
The consequence in this case is that the company will assume that the average selling price is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased
Given that resource is scare the management of the company will want a smaller significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources
generally the critical value of \(\frac{\alpha }{2}\) from the normal distribution table is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E =Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)
=>\(E =1.96* \frac{23946.896}{\sqrt{16} }\)
=>\(E = 11733.96\)
Generally the 95% confidence interval is mathematically represented as
\(218653.125 - 11733.96 < \mu < 218653.125 + 11733.96\)
=> \(206919.165 < \mu < 230387.085\)
Generally there is 95% confidence that the actual average selling price is within this interval
Step-by-step explanation:
special right triangles, solve for x, y and z
Answers
Answer:
x=14
y=27
z=43
Step-by-step explanation:
hope it helps!
the doubling period of a bacteria culture is 15 minutes initially the culture has 5000 bacteria determine the number of bacteria there will be after 1.5 hours
Answers
The number of bacteria after 1.5 hours is 320,000.
Given,
The doubling period of a bacteria culture is 15 minutes.
Initially, the culture has 5000 bacteria.
We need to determine the number of bacteria there will be after 1.5 hours.
We have,
The number of bacteria gets double every 15 minutes.
Number of bacteria at initial stage = 5000
In 1.5 hours we have 90 minutes.
1.5 hours = 1 hour and 30 minutes
1 hour = 60 minutes
1.5 hours = 90 minutes.
In 90 minutes we have 6 times 15 minutes.
First 15 minutes,
The number of bacteria would be = 2 x 5000 = 10,000
Now next 15 minutes,
10,000 x 2 = 20,000
Next 15 minutes,
20,000 x 2 = 40,000
Next 15 minutes,
40,000 x 2 = 80,000
Next 15 minutes,
80,000 x 2 = 160,000
Next 15 minutes,
160,000 x 2 = 320,000
We can also write it as 5000 x 2^6 = 320,000
Thus the number of bacteria after 1.5 hours is 320,000.
Learn more about finding the number of bacteria where it increases at a given rate here:
https://brainly.com/question/12024034
#SPJ1
6. Writing When you add a
one-digit number to a
decade number, what do you
notice about the ones place
digit of the sum?
Answers
When you add one-digit number to a decade number, you will notice that the ones place digit sum is interchanged in their positions
How to add a one-digit number to a decade number?You should know the word decade means ten. so a decade number is a number with ten digits. The digits of the decade number are
1,2,3,4,5,6,7,8,9
So write the number as
12345679
A digit number is say 9
123456789+9
= 123456798
Therefore when a digit number is added to a decade number, the last digits interchange their positions
Learn more about decade numbers on https://brainly.com/question/13918032
#SPJ1
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
Answers
Answer:2/3-4
Step-by-step explanation:
Hi,
The correct answer is √ra = v or v = √ra.
The original equation is a = v^2/r.
Then we multiply r to get ra = v^2
After that we √ra = √v^2
Our final answer is then √ra = v
XD
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x satisfies this equation? 1.5(4)^2x=12 Round your answer to the nearest hundredth. The value of x is .
Answers
Answer:
O.75
Step-by-step explanation:
The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
\(\rm 1.5(4)^2^x=12\)
\(\rm (4)^2^x=8\)
\(\rm (2^2)^{2x}= 2^3\)
\(\rm 2^{4x}=2^3\)
4x = 3 (equating powers of same base)
x = 3/4
Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
Jenny has c charms on her bracelet her older sister has five more charms than Jenny write an expression that
Answers
The expression that shows how many charms Jenny's older sister has is
c + 5.
What are algebraic expressions?
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Expressions are made up of terms.
According to the given question:
Jenny has c charms on her bracelet.
Her older sister has 5 more charms than Jenny.
To write an expression that shows the number of charms her older sister has. we simply add 5 extra charms to the number of charms Jenny has
Therefore, Jenny's older sister has c + 5 charms.
In this expression c represents the number of charms Jenny has.
The complete question is as follows:
Jenny has c charms on her bracelet. Her older sister has 5 more charms than Jenny. Write an expression that shows how many charms her older sister has.
To know more about algebraic expressions visit
https://brainly.com/question/12739821
#SPJ1
What percentage is the shaded area
Answers
Answer:
75%
Step-by-step explanation:
There are 4 parts and 3 are shaded
(3 /4)=75%
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answers
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
Answers
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
To know more about perimeter visit: https://brainly.com/question/30252651
#SPJ1
Please help this is due tmr
In practice, the first leg of relay takes longer to run than others because the first runner must start the race from a still position. If the first leg of Jamaican teams relay took 9.72 seconds of total time, but the other 3 legs were all equal, what was the time for one of the later legs?
Answers
The time taken to complete one of the later legs is (t - 9.72)/3
Creating equation from word problemTotal number of legs in a relay race = 4
total time taken = t
Last three legs are equal , Let the time taken for the later legs = x
The time taken can be related using the relation :
t = 3x + 9.72
To obtain the time for one of the later legs, make x the subject of the formula
subtract 9.72 from both sides in other to isolate 3x
3x + 9.72 - 9.72 = t - 9.72
3x = t - 9.72
Divide both sides by 3 in other to isolate x
x = (t - 9.72)/3
Hence, the time taken for one of the later legs is (t - 9.72)/3
Learn more on subject of formula; https://brainly.com/question/657646
#SPJ1
5x + 2y + 19 = 0 3x + 4y + 17 = 0
Answers
Answer:
x = -3; y = 2
Step-by-step explanation:
5x + 2y + 19 = 0
3x + 4y + 17 = 0
-10x - 4y - 38 = 0
3x + 4y + 17 = 0
-7x - 21 = 0
x = -3
5(-3) + 2y = -19
2y = -4
y = -2
Answer: x = -3; y = 2
51. For which of the following values of L will the lines whose equations are 2x+3y=8
and 8x+12y = L be parallel?
I. L = 0
II. L = 8
III. L = −8
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
Answers
explanation
Graph the first equation then graph the 2nd equation substituting 0, 8 and -8 for L.
All three show a parallel line to the first equation.
2x + 3y = 8
x = 4, y= 2.666…
8x + 12y = 0
x= 0, y=0
8x + 12y = -8
x = -1, y = -.66666….
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
for such more questions on weight
https://brainly.com/question/29892643
#SPJ8
cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10
Answers
Answer:
the answer would be 5a+2b-10
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?
•10.0
•13.4
•17.1
•21.6
Answers
Answer:
B. 17.1
Step-by-step explanation:
Edge 2020. Hope this helps.
The magnitude of 2(u-v +w) is √292.
The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.
We need to find the value of 2(u-v+w).
How to find the magnitude of vector?The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.
Now, 2(2i + 3j-(-i)+5i-6j)
=2(2i+3j+i+5i-6j)
=2(8i-3j)=16i-6j
The magnitude of 16i-6j=√16²+6²=√256+36=√292
Therefore, the magnitude of 2(u-v +w) is √292.
To learn more about the magnitude of vectors visit:
https://brainly.com/question/24256726.
#SPJ2
Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
Answers
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
To learn more about : interest
https://brainly.com/question/25720319
#SPJ8
please help!!! i don’t know how to answer this and i don’t want to fail D: so please help!!
Answers
Answer: Plant B
Step-by-step explanation:
Plant A is 3 millimeters / 2 days = 1.5 millimeter per day
Plant B is (23-19)/(10-8)=2 millimeter per day
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
Answers
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
To know more about the probability, click on the link
https://brainly.com/question/24756209
#SPJ1