The price of a holiday was decreased by 12% to £600. What was the price before the decrease? Give your answer to the nearest penny.
Answers
Answer:
681.82 rounded to two decimals
Step-by-step explanation:
hello
let's say that the price before the decrease is x
and then
600 = x - 12%x=(1-12%)x=0.88x
so x = 600/0.88 = 681.818181...
hope this helps
Answer:
I think it’s 672
Step-by-step explanation:
12% of 600 is 72
To find what the price is before decrease you must add 72 on
Related Questions
a pillow is in the shape of a regular pentagon. it is made from 5 pieces of fabric that are congruent triangles. each triangle has an area of 10 square inches. what is the area of the pillow?
Answers
The area of the pillow is 50 square inches.
To find the area of the pillow shaped as a regular pentagon made from 5 congruent triangles, each with an area of 10 square inches, follow these steps:
1. Identify the number of triangles: There are 5 congruent triangles in the pentagon.
2. Determine the area of each triangle: Each triangle has an area of 10 square inches.
3. Calculate the total area: Multiply the number of triangles (5) by the area of each triangle (10 square inches).
5 triangles * 10 square inches/triangle = 50 square inches
So, the area of the pillow is 50 square inches.
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how do you write 7/10 as a decimal Can someone please help me!!
Answers
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
A lighthouse is 7 miles off a straight shoreline. Fourteen miles down the coast is a restaurant where the lighthouse keeper is planning to meet his friends. If he can row at 2.7mph and walk at 4mph, where should he land, as measured from the point on the shore nearest to the lighthouse, in order to make the fastest possible time to the restaurant? Round your answer to the nearest whole number.
Answers
The lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.
To determine the fastest possible time for the lighthouse keeper to reach the restaurant, we need to calculate the time it takes for him to row to the shore and then walk to the restaurant. The key is to minimize the total time taken.
Let's denote the distance from the landing point to the restaurant as x miles. The time taken to row to the shore can be calculated as 7 miles divided by the rowing speed of 2.7 mph, which is approximately 2.59 hours.
The time taken to walk from the landing point to the restaurant can be calculated as (14 + x) miles divided by the walking speed of 4 mph.
To minimize the total time, we need to find the value of x that minimizes the sum of the rowing time and the walking time. So, we can set up the equation:
Total time = 2.59 hours + (14 + x) miles / 4 mph
To find the value of x that minimizes the total time, we can take the derivative of the equation with respect to x, set it equal to zero, and solve for x.
However, given that we are asked to round the answer to the nearest whole number, we can simplify the problem by considering the value of x that yields the smallest whole number total time.
By trying different values of x, we can find the value that minimizes the total time.
When x = 0, the total time is 2.59 + 14 / 4 = 6.59 hours.
When x = 1, the total time is 2.59 + 15 / 4 = 6.84 hours.
When x = 2, the total time is 2.59 + 16 / 4 = 7.09 hours.
Continuing this process, we find that the smallest whole number total time occurs when x = 3.
Therefore, the lighthouse keeper should land approximately 3 miles from the point on the shore nearest to the lighthouse in order to make the fastest possible time to the restaurant.
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Faith Franklin sells furniture and earns 9% commission on her total sales. Last month she had $33,500 in
sales. How much did she earn?
Answers
Answer:
$3015
Step-by-step explanation:
Answer:
$3015
Step-by-step explanation:
Comment
She earned 9% of 33500
To replace th4 % sign, you always divide the number given by 100.
So 9% as a decimal is 9/100 = 0.09. Notice where the 100 goes. It is right underneath the 9. So you are dividing by 100.
So she earned
0.9 * 33500 = $3015
assume you've made a relative-frequency distribution graph of the above returns, which you believe enables this data to be approximated with (modeled by) a normal density function. to use this normal density function to model future spsm returns, which big assumption is most important?
Answers
It appears that you have created a relative-frequency distribution graph for some data (possibly related to investment returns) and would like to use a normal density function to model future returns. The most important assumption to consider in this context is the assumption of normality.
The normality assumption states that the underlying data follows a normal distribution, also known as the Gaussian distribution or bell curve. This distribution is characterized by its symmetric bell shape and is defined by its mean (average) and standard deviation (a measure of variability). In a normal distribution, about 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
When using the normal density function to model future returns, it is crucial to assume that the data exhibits normality. This means that the relative frequencies of the returns in the dataset follow the pattern expected from a normal distribution. If the data significantly deviates from normality, the predictions made using the normal density function might not be accurate and could lead to poor decision-making in future investment scenarios.
In summary, the most important assumption to consider when using a normal density function to model future returns based on a relative-frequency distribution graph is that the data follows a normal distribution. This assumption allows for accurate predictions and better decision-making in investment planning.
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Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
Answers
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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The perimeter of a rectangular metal plate is 36 dm and its area is 80 dm squared find its dimension (relate the measures to the sum and product of quadratic equation)
Answers
Answer:
hope it helps you
Step-by-step explanation:
The Dimention are 8dm and 10dm..
dm2. Find its dimensions. (Relate the measures to the sum and product of a
quadratic equation.)
The perimeter of a rectangle is twice the sum of its length and width while
its area is the product of its length and width. Such that,
Perimeter = 2(L + w) and Area = L.w
_ is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
Answers
Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
What is Probability ?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.What is the probability of each value of a discrete random variable?
The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.
Which is a discrete random variable?
A discrete variable is one that is random. if the number of possible values is either countable or finite. Continuous refers to a variable that is random. if the range of possible values includes all possible numbers.What is the other name of mean of discrete random variable?
A discrete random variable's probability distribution is a table of the probabilities connected to each of its potential values. The probability function or probability mass function are other names for it.Learn more about Probability
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Determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13.
Answers
The only point that lies on both lines is (-4,5).
To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.
For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.
Substituting the coordinates of each point into these equations, we get:
For the point (-4,5):
-4(2) + 16/4 = -4 + 4 = 0, and
-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.
Therefore, (-4,5) satisfies both equations.
For the point (4,3):
4(2) + 16/4 = 8 + 4 = 12, and
-3(4) + 13/5 = -12 + 13/5 = -47/5.
Therefore, (4,3) does not satisfy both equations.
For the point (1,2):
-1(2) + 16/4 = -2 + 4 = 2, and
-3(1) + 13/5 = -3 + 13/5 = 2/5.
Therefore, (1,2) does not satisfy both equations.
Therefore, the only point that lies on both lines is (-4,5).
When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.
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To determine how American college students feel about commuting, 100 students at a private university were randomly chosen by selecting 50 men and 50 women to participate. They were asked how far they commute each day (in minutes) to campus.
The results of this survey are unreliable primarily because of
voluntary response bias
sampling bias
the absence of a control group
response bias
None of the above
Answers
The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.
A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.
When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.
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After watching baking shows on T.V., Suzie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Suzie puts 3 sugar flowers on each cupcake. In all, Suzie puts 36 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Suzie decorates?
Answers
In a case whereby After watching baking shows on T.V., Suzie signs up for a cake-decorating class. Suzie puts 3 sugar flowers on each cupcake. In all, Suzie puts 36 sugar flowers on the cupcakes. The equation can you use to find the number of cupcakes c Suzie decorates is 3c= 36.
How can the equation be determined?Based on the condition that is been given from the question, the formula can be written as 3c= 36
If we divide both sides by 3, we have (C= 12) which implies that Suzie puts 3 sugar flowers on each cupcake.
Therefore, the equation is 3c= 36
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Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row
Answers
The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.A probability formula can be used to calculate the probability of an event by simply dividing the favorable number of outcomes by the total number of possible outcomes.To find the probability that we will see the movie in theater one and sit in the front row:
Given -
The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%.So,
(1/4)(1/10) = 1/40 = .025 Or, 2.5%Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.
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The correct question is given below:
Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.
(A) 40%
(B) 35%
(C) 4%
(D) 2.5%
lins smart phone was full charged when she started school at 8:00 a.m. at 9:20 a.m. it was 90% charged, and at noon, it was 72%charged part 1. when do you think her battery will die part 2. is battery life a function of time? if yes is it a linear dunction? explain your reasoning.(will give brainliest.
Answers
It is not a linear function and can vary depending on a number of factors.
What are linear functions ?
A linear function is a mathematical function that can be expressed in the form f(x) = mx + b, where m and b are constants and x is a variable. In other words, a linear function is a function that produces a straight line when graphed.
The constant "m" is called the slope or gradient of the line, and it determines the steepness of the line. A positive slope indicates that the line is increasing from left to right, while a negative slope indicates that the line is decreasing from left to right. A slope of zero indicates that the line is horizontal.
According to the question:
Part 1: We can use the information given to estimate how long it will take for the battery to fully discharge. Between 8:00 a.m. and 9:20 a.m., the battery lost 10% of its charge. This means that it took 1 hour and 20 minutes for the battery to go from 100% to 90%. Similarly, between 9:20 a.m. and noon, the battery lost an additional 18% of its charge. This means that it took 2 hours and 40 minutes for the battery to go from 90% to 72%. Assuming that the rate of discharge remains constant, we can estimate that the battery will die in approximately 9 hours and 20 minutes (8:00 a.m. to 5:20 p.m.), or 8 hours and 20 minutes from noon (when the battery was at 72%). However, it is important to note that battery life can vary depending on usage and other factors, so this is only an estimate.
Part 2: Battery life is a function of time, as the charge on a battery decreases over time as it is used. However, it is not a linear function, as the rate of discharge can vary depending on factors such as usage, temperature, and battery health. For example, a battery may discharge more quickly if it is being used for high-intensity activities such as gaming or video streaming, or if it is exposed to extreme temperatures. Additionally, as a battery ages, its capacity to hold a charge may decrease, leading to a faster rate of discharge over time. Therefore, while battery life is a function of time, it is not a linear function and can vary depending on a number of factors.
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Simplify (x − 4)(2x2 + 3x − 5)
Answers
Answer:
2x^3-5x^2-17x+20
Step-by-step explanation:
Answer: 2x^3 - 5x^2 - 17x + 20
Step-by-step explanation: just simplify it
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).
For Questions 16 – 18, refer to the problem below. Consider the following set of simultaneous equations. 3x − 4y = −42 (i)
2x + 6y = 50 (ii)
16. If x is made the subject of the formula in equation (ii), then:
A x = 3y + 25 B x = −3y + 25 C x = −6y + 50 D x = −3y − 25
17. If x is eliminated in equation (i) then:
A −13y = −117 B 13y = −117 C 15y = 124
D 16y = 215
Answers
Answer:
Step-by-step explanation:
On a coordinate plane, rectangle 1 has points (1, negative 2), (4, negative 2), (4, negative 3), (1, negative 3). Rectangle 2 has points (negative 3, negative 1), (negative 2, negative 1), (negative 2, negative 4), (negative 3, negative 4).
Rectangle 2 is the image of rectangle 1 after it rotates
degrees clockwise.
Answers
Rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.
How to determine the degree of rotation?The given parameters are:
Rectangle 1
(1, -2), (4,-2), (4,-3) and (1, -3)
Rectangle 2
(-3, -1), (-2,-1), (-2, -4,) and (-3, -4)
By comparing the coordinates, we can see that the rule of transformation is:
(x,y) ⇒ (y,-x)
The above rule represents a 90° clockwise rotation
Hence, rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.
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Answer: 90 Degrees
Step-by-step explanation: Trust me bro
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76. 1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76. 1) represent?
the temperature of 76. 1 degrees Fahrenheit converted to degrees Celsius
the temperature of 76. 1 degrees Celsius converted to degrees Fahrenheit
the amount of time it takes a temperature of 76. 1 degrees Fahrenheit to be converted to 32 degrees Celsius
the amount of time it takes a temperature of 76. 1 degrees Celsius to be converted to 32 degrees Fahrenheit
Answers
C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The function C(F) = (5/9)(F - 32) is used to convert temperatures from degrees Fahrenheit to degrees Celsius. In this case, the input of the function is 76.1, which represents the temperature in degrees Fahrenheit. By substituting this value into the function, we can calculate the corresponding temperature in degrees Celsius.
To convert 76.1 degrees Fahrenheit to degrees Celsius, we plug it into the function: C(76.1) = (5/9)(76.1 - 32). By performing the necessary calculations, we can find the value of C(76.1), which represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. Therefore, the correct answer is the first option: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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A man buys two cycles for a total cost of Rs. 900. By selling one for 4/5 of its cost and other for 5/4 of its cost, he makes a profit of Rs. 90 on whole transaction. Find the cost price of lower priced cycle
Answers
the cost price of the lower priced cycle is Rs. 130.. Then the cost price of the other cycle would be (900 - x), since the total cost of the two cycles is Rs. 900.
The man sells one cycle for 4/5 of its cost, which means he earns 4/5 of the cost price as revenue. So, the revenue earned by selling the first cycle would be (4/5)x. Similarly, the revenue earned by selling the other cycle would be (5/4)(900 - x) = (1125 - 5/4x).
The total revenue earned by selling both cycles is (4/5)x + (1125 - 5/4x) = (500 + 15/4x). The profit made on the transaction is Rs. 90. So, we have:
Total revenue - Total cost = Profit
(500 + 15/4x) - 900 = 90
Simplifying the equation, we get:
15/4x - 400 = 90
15/4x = 490
x = 130
Therefore, the cost price of the lower priced cycle is Rs. 130.
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what's the value of x?
Answers
Step-by-step explanation:
180-77=103
11x+11=103
-11 on both sides
11x=92
divide by 11 on both sides
77-11=66180
x=13
180-77-90=13 plug that in and you get it
11(13)+11=154
-90
im not sure if im correct but i hope this helps
round 4184 to the nearest hundereth
Answers
Answer:
4200
Step-by-step explanation:
I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.
the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle
Answers
Answer:
b => base => 40 cm
h => altitude => 30 cm
A = h*b/2
h=b-10
600=(b-10)b/2
600 = (b^2-10b)/2
1200=b^2-10b
b^2-10b-1200=0
(b-40)(b+30)=0
b=40 cm
h=b-10 = 40-10=30
The 8th graders are having a bake sale to raise money for their field trip to a water park.
If they sell c cupcakes and b brownies at the prices shown below, then the amount of
money raised is given by the expression 0.4C+0.45b. How much money will be raised if
the 8th graders sell 68 cupcakes and 76 brownies?
Bake Sale Prices
Brownies 450
Eupcakes
40¢
Answers
Answer:
27 dollrs for c
76dollra for b
Step-by-step explanation: because you just multiply the 68 and 76 by how much they were for
If we reflect the point (- 3, - 9) over the y-axis, where would the new point be located?
Answers
What is the difference between 30% interest charged for a payday loan and a 30% APR on a credit card?
Answers
The main difference is interest charged for a payday loan is typically over a short period, whereas credit card represents the annualized interest rate over a year.
The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.
For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.
This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.
On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.
If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.
In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.
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PLEASE HELP ASAP
A. 300 ft2
B.150 ft2
C.45 ft2
D.75 ft2
Answers
Answer:
75 ft^2
Step-by-step explanation:
Area of trapezoid = 1/2({b1+b}*h)
1/2(25x6) =
150 / 2 =75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
D
Step-by-step explanation:
Hope this helps! Have a great day!
a bacteria culture starts with 500 bacteria and doubles in size every half hour. (a) how many bacteria are there after 2 hours?
Answers
After the first half hour, the bacteria would double to 1000.
After the second half hour, it would double again to 2000.
After the third half hour, it would double again to 4000.
So, after 2 hours (which is 4 half hours), there would be 16 times the original amount of bacteria, or 500 x 2^4 = 8000 bacteria.
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What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?
Answers
Answer:
1,256.8in
Step-by-step explanation:
Given data
Height h =4in
Radius r= 5in
The expression for the volume of cylinder is
V=πr²h
Substitute
V=3.142*4²*5
V=3.142 *16*25
V=1,256.8in³
Betty has the option of using three types of tables in her coffee shop:
square tables with a side length of 36 inches
rectangular tables 20 inches wide and 73 inches long
round (circular) tables with a diameter of 42 inches.
Which type of table has the largest area?
a.)
Square tables
b.)
Rectangular tables
c.)
Round tables
d.)
The tables all have the same area.
Answers
Answer:
The rectangular table
Step-by-step explanation:
Square table: 36*36=1296
Rectangular table: 20*42=1460 \(in^{2}\)
Circular table: \(\pi * 21^{2}\)≅1384
Does anyone know this cause I need to understand how to do this.
Answers
Answer:
Triangle TSR
Step-by-step explanation:
This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D