To find 60% of 33, first write 60% as a decimal by moving the decimal point two places to the left to get .60.
Next, the word "of" means multiply, so we are are going to multiply.
(.60) (33) = 19.8
Therefore, 60% of 33 is 19.8.
why is a circle not a polygon
Let's first go over the definition of a polygon.
A polygon a figure formed by coplanar segments. The segments are called sides.
A circle is not considered a polygon because it's formed by a curve rather than line segments.
Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value each year. If her estimate is accurate, how much will an appliance currently valued at $3,200 be worth in 10 years?
The appliance will be worth approximately $817.66 in 10 years.
Explanation:To calculate the value of the appliance in 10 years, we need to find how much it will be worth after each year based on the depreciation rate of 25%. We can use the formula:
Value after n years = Initial value × (1 - rate)^n
Substituting the given values, we get:
Value after 10 years = $3,200 × (1 - 0.25)^10 = $3,200 × 0.75^10 ≈ $817.66
Therefore, the appliance will be worth approximately $817.66 in 10 years.
Using the exponential decay formula, an appliance initially valued at $3,200 is estimated to be worth about $180.16 after 10 years, assuming it loses 25% of its value each year.
Explanation:To find out how much an appliance currently valued at $3,200 will be worth in 10 years, given that it loses 25% of its resale value each year, we can use the formula for exponential decay:
Future Value = Present Value × (1 - Rate of Decay)Number of Years
Here, the Present Value is $3,200, the Rate of Decay is 25% or 0.25, and the Number of Years is 10. Plugging these into the formula gives us:
Future Value = $3,200 × (1 - 0.25)10
Future Value = $3,200 × (0.75)10
Future Value = $3,200 × 0.0563
Future Value ≈ $180.16
The appliance would be worth approximately $180.16 in 10 years.
Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4.
y = 5
x = 5
y = 4
x = 3
The blueprints for a me house are scaled so that 1/4 inch equals 1 foot, what is the scale factor in terms of inches to inches?
Select all of the following that are a direct variation.
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Arcade games are 50 cents or $1.
To go tubing it is $5 to rent the tube and $7 for each hour.
What is 6/24 simplified?
Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Show the correct substitution of the values a, b, and c into the quadratic formula?
Answer:
A. Is The Answer
Step-by-step explanation:
Did On Edge 2022
short term goals are designed to be met in
A. less than 1 year
B. less than 6 months
C. between 6 and 9 months
D. between 1 and 5 Years
Answer:
A. less than 1 year is the answer.
Step-by-step explanation:
Short term goals are designed to be met in : A. less than 1 year
According to accounting concepts, a short term goal is less than one year and goals more than one year are considered long term goals.
Short term goals are like short term investments, that can be accomplished soon. Few other examples are - cutting costs, learning new skills, changing or having a good attitude etc.
Answer:
Correct answer would be: B less than 6 months
Step-by-step explanation:
Took test on edg 2020
what is 2/5 as percentage
Answer:
40
Step-by-step explanation:
divide 2 by 5 and you get 0.40 and then multiplicate by 100 and you get 40
23!-22! is equal to what and how ?? ...?
Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why this relation is a function.
Part 2: Create a relation of five ordered pairs that is not a function. In complete sentences explain why this relation is not a function.
...?
What is the amount of sales tax owed on a $39 jacket if the tax rate is 5%?
What is the solution to log4 8x=3?
Answer: The required solution is x = 8.
Step-by-step explanation: We are given to solve the following logarithmic equation:
[tex]\log_4{8x}=3.[/tex]
We will be using the following logarithmic property in the solution:
[tex]\log_ab=c~~~~~\Rightarrow b=a^c.[/tex]
The solution is as follows:
[tex]\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.[/tex]
Thus, the required solution is x = 8.
the function p(t)=350e^-.2t represents the population of a city, in thousands, t years after 2010. determine the population of the city in 2014
A sample of carbon-12 has a mass of 6.00 g. How many atoms of carbon-12 are in the sample?
I have the answer but I don't understand how to solve it.
What are the constant terms in the expression?
8m−5n+2+m−14
Answer: [tex]2 , -14[/tex]
Step-by-step explanation:
We know that the constant terms are the specific terms in an algebraic expression that have only numbers or numerical value or without any variable.
For example : The constant term in [tex]4x^2 -5m+16[/tex] is 16.
Let's take one more example , the constant term in [tex]3x-2y-4-7xy[/tex] is -4.
Given expression is : [tex]8m-5n+2+m-14[/tex]
Here, the terms are : [tex]8m,\ -5n,\ 2,\ m,\ -14[/tex]
Terms having variable = [tex]8m,\ -5n,\ m[/tex]
Terms without variable = [tex]2 , -14[/tex]
⇒ Constant terms =[tex]2 , -14[/tex]
Hence, the constant terms in the given expression = [tex]2 , -14[/tex]
Working alone mona can paint a room in 4 hours. lisa can paint the exact same room in 3 hours. how long should it take to paint the room if they work together?
To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. Their combined work rate is 7/12 of the room per hour. Therefore, it would take them approximately 1 hour and 43 minutes to paint the room together.
Explanation:To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. To calculate their combined work rate, we add their individual work rates: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of the room per hour. Since they are working together, we can use their combined work rate to determine how long it would take to paint the entire room. The formula to calculate time is: Time = Work / Rate. In this case, the work is the entire room, which is 1, and the rate is 7/12 of the room per hour. Therefore, the time to paint the room when they work together is: Time = 1 / (7/12) = 12/7 hours, or approximately 1 hour and 43 minutes.
What is 5.105 rounded to tge nearest hundredth?
Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the nearest tenth.
Answer:x ≈ 7.9; y ≈ 23.7
Step-by-step explanation:
The right triangle above you can use SOHCAHTOA and determine that tanθ =
y
x
. Replacing tanθ with 3 you get
3 =
y
x
3x = y
Then use the Pythagorean Theorem to
x2 + y2 = 252. Replace y with 3x
x2 + 9x2 = 625
10x2 = 625
x2 =
625
10
x =
25
10
= 7.9
Since,
y = 3x
y = 3(7.9) = 23.7
In 1992, jason bought a gallon of gas for $1.23. yesterday, he bought a gallon of gas for $2.19. what is the percentage increase of the price of a gallon of gas from 1992 to yesterday? if necessary, round to the nearest tenth of a percent.
Answer:
39.7
Step-by-step explanation:
Which number is a perfect cube? A.25 B.36 C.125 D.300
find three solutions of the equation y=2
Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?
A.10 weeks
B.12 weeks
C.15 weeks
D.20 weeks
You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement.
What is the answer for 62 divided 5,821?
The simplified expression of 62/5821 is 62/5821
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
62 divided 5,821
This means that we divide 62 by 5821
So, we have the following representation
62/5821
In the above, we have
The numerator 62 is less than the denominator 5821
This means that the expression is already simplified
Hence, the simplified expression is 4/11
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please help on number 13
As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per minute. At this speed, how many miles will Jupiter travel in 4 minutes? Do not round your answers.
Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:
8 miles x 60 s
1 second 1 min
The unit of seconds will cancel out so you will get 480 miles/ min
To get how far it travels in 4 min you need to multiply the speed by 4 minutes
480 miles x 4 min
1 min
The unit of minutes will cancel out to get 1920 miles
Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.
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ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter including any necessary points or slopes you had to derive.
To find the orthocenter of triangle ABC with vertices A(0,6), B(4,6), and C(1,3), one must plot the triangle, calculate the slopes of its sides, find the slopes and equations of the altitudes, and determine their intersection point, which is the orthocenter.
The question involves finding the orthocenter of the triangle ABC with vertices A(0,6), B(4,6), C(1,3). To find the orthocenter, we have to identify the altitudes of the triangle and find their point of intersection. Here are the steps:
Plot the points A(0,6), B(4,6), C(1,3) on the Cartesian coordinate system and draw the triangle ABC.Find the slopes of the sides of triangle ABC: The slope of AB is 0 (horizontal line), the slope of BC and AC can be found using the formula [tex](y_2 - y1) / (x_2 - x1)[/tex].Determine the slopes of the altitudes: The slope of an altitude is the negative reciprocal of the slope of the side it is perpendicular to.Find the equations of the lines representing the altitudes by using the point-slope form of the equation of a line, which involves a point on the line (vertex of the triangle) and the slope you've just found.Calculate the point of intersection of any two altitudes. The intersection point is the orthocenter of the triangle.Upon completing these steps, the point of intersection is the orthocenter of the triangle ABC.
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Erica filled 2/5 of a page of her notebook on Monday. She filled 5/6 of a page on Tuesday.
How many pages did Erica fill in her notebook?
Express your answer in simplest form.
For each function, what is the output of the given input?
For f(x) = 4x+7, find f(4)
Answer:
f(4)=23
Step-by-step explanation:
Plug 4 in to the function
f(4)=4(4)+7
f(4)=16+7
f(4)=23
Final answer: 23