Step-by-step explanation:
The washer costs $624 and the dryer costs 312.
624 is double 312 so that works out. Also if you add 624 and 312 you get 936.
Answer:
Washer = 642
Dryer = 321
Step-by-step explanation:
jake has an account that is compounded every month at a rate of 3.5%.if he invests $20,000,what will the balance be after 5 years
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
Marjorie collected 126 seashells when she went to the beach.
About how many did she collect, rounded to the nearest hundred?
Answer:
100
Step-by-step explanation:
The number 126 is between 100 and 200. It is closer to 100 so that is our answer rounded to the nearest hundred.
Why is triangle always 180 degrees?
Triangle is always 180 degrees because the sum of all angles in a triangle is 180 degrees. This is known as the "Triangle Angle Sum Theorem." The theorem states that the sum of all angles in a triangle is equal to 180 degrees.
1. A triangle is a three-sided polygon with three angles.
2. The sum of the three angles in any triangle must be 180 degrees.
3. This is known as the Triangle Angle Sum Theorem.
4. The Triangle Angle Sum Theorem states that the sum of the angles in a triangle must equal 180 degrees.
5. It does not matter which angles the triangle has, the sum will always equal 180 degrees.
6. This theorem is based on the fact that the sum of the angles in any triangle is equal to two right angles or 180 degrees.
7. The Triangle Angle Sum Theorem can be proven by drawing a triangle, and then measuring and adding the three angles.
8. The sum of the three angles will always equal 180 degrees.
9. Therefore, triangle is always 180 degrees.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
Please answer correctly
URS= 20º
Hope this helps!!
What percent of 480 is 160?
A. 0.3%
B. 3%
C. 30%
D. 33.3%
E. 300%
Fill in the missing fraction: Do not reduce your answer. What is 10/12 plus blank equals 16/12
Answer:
The missing fraction is 6/12
(you can further simplify this but the question requires that you don't do that)
Step-by-step explanation:
To add fractions easily, their denominators should have the same value, so the denominator should be 12,
Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,
10 + x = 16
x = 16 - 10
x = 6
So, the numerator should be 6
so we get the fraction, 6/12
We can also solve it in an alternate way,
\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)
help me out please ill give you 5 star, brainlist
Answer:
H
Step-by-step explanation:
you can see that it's increasing by 50 for each line
4*50=200
Please help me I need to finish this :)
find the exact value of cos-1 (sqrt 3/2)
The exact value of cos^-1( √3/2) = 30°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°
sin30 = 1/2
cos 30 = √3/2
tan 30 = 1/√3
cos 60 = 1/2
sin 60 = √3/2
tan 60 = √3
Therefore, if cos^-1( √3/2) = x
cos x = √3/2
cos 30 = √3/2
cos x = cos 30
therefore x = 30
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Solve: startfraction 2 over 3 endfraction minus 4 x plus startfraction 7 over 2 endfraction equals negative 9 x plus startfraction 5 over 6. endfraction. â€"" 4x = â€""9x x = x equals negative startfraction 3 over 2 endfraction. x = x equals negative startfraction 2 over 3 endfraction. x = x equals startfraction 2 over 3 endfraction. x = x equals startfraction 3 over 2 endfraction.
The solution to the equation is x = 17/30.
To solve the equation, start by combining like terms on both sides.
On the left side, we have the fraction 2/3 and the term -4x.
On the right side, we have the fraction 7/2 and the term -9x.
To combine the fractions, we need a common denominator.
The least common multiple of 3 and 2 is 6.
So, we can rewrite 2/3 as 4/6 and 7/2 as 21/6.
Now, the equation becomes:
4/6 - 4x = 21/6 - 9x
Next, let's get rid of the fractions by multiplying both sides of the equation by 6:
6 * (4/6 - 4x) = 6 * (21/6 - 9x)
This simplifies to:
4 - 24x = 21 - 54x
Now, we can combine the x terms on one side and the constant terms on the other side.
Adding 24x to both sides gives:
4 + 24x - 24x = 21 - 54x + 24x
This simplifies to:
4 = 21 - 30x
Next, subtract 21 from both sides:
4 - 21 = 21 - 30x - 21
This simplifies to:
-17 = -30x
Finally, divide both sides by -30 to solve for x:
-17 / -30 = -30x / -30
This simplifies to:
x = 17/30
So the solution to the equation is x = 17/30.
To know more about least common multiple, visit:
https://brainly.com/question/30060162
#SPJ11
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
To know more about interest visit:
https://brainly.com/question/30393144
#SPJ11
solve the following simultaneous equations 5x+7y = 17 ; 7x+5y = 19
Answer:
\(x=2.\ y=1\)
Step-by-step explanation:
\(We\ are\ given\ the\ following\ pair\ of\ equations:\\5x+7y=17\\7x+5y=19\\Now,\\As\ the\ co-efficients\ of\ none\ of\ the\ algebraic\ terms\ match,\\We\ can\ take\ the\ LCM\ of\ their\ co-efficients;\\As\ the\ co-efficients\ of\ the\ x-terms\ are\ 5,7\ respectively;\\Their\ LCM\ is\ 35.\)
\(Hence,\\7(5x+7y)=7(17)\\-5(7x+5y)=-5(19)\\Hence,\\35x+49y=119\\-35x-25y=-95\\Hence,\\Adding\ the\ two\ equations\ we\ have:\\(35x+49y)+(-35x-25y)=(119)+(-95)\\(35x-35x)+(49y-25y)=119-95\\24y=24\\y=\frac{24}{24}=1\)
\(Now,\\Lets\ consider\ the\ First\ Equation:\\5x+7y=17\\Substituting\ y=1,\\5x+7*1=17\\5x+7=17\\5x=17-7\\5x=10\\x=\frac{10}{5}=2\\\\Together,\\x=2.\ y=1\)
A contractor is building a wheelchair ramp for a doorway. To meet ADA
guidelines the ramp must have a rise-run ratio of 2:15. What angle will a
ramp of this ratio make with the ground?
Answer:
pls show a picuture
Step-by-step explanation:
Did you know it takes about 40 pounds of olives to make 3 liters of olive oil? Orchard A grew about 2000 pounds of olives. How many liters of olive oil would this make?
Answer:
150
Step-by-step explanation:
Using the unitary method,we can say that 150 liters of olive oil it will make.
What is unitary method?The unitary method is a technique in mathematics for solving a problem by finding the value of a single unit, I.e.,1,(by dividing) and then finding the necessary value by multiplying the single unit value.A method of solving a problem that involves first determining the value of a single unit,And then multiplying that value to determine the required value.According to the question,
40 pounds of olives to make 3 liters of olive oil.2000 pounds of olives will make 150 liters of olive oil. 3/40= 0.075 0.075 * 2000150hence,We may estimate that 150 liters of olive oil will be produced using the unitary approach.
Know more about unitary method click here:
https://brainly.com/question/23423168
#SPJ2
the population of weights for men attending a local health club is normally distributed with a mean of 166-lbs and a standard deviation of 26-lbs. an elevator in the health club is limited to 33 occupants, but it will be overloaded if the total weight is in excess of 5940-lbs. assume that there are 33 men in the elevator. what is the average weight beyond which the elevator would be considered overloaded? average weight
This means that if the average weight of the men in the elevator is more than 180 lbs, the elevator would be overloaded.
To determine the average weight beyond which the elevator would be considered overloaded, we can follow these steps:
Find the total weight limit for 33 occupants: 5940 lbs.
Divide the total weight limit by the number of occupants to find the average weight per person: 5940 / 33 = 180 lbs.
Now, we need to find the difference between the average weight per person (180 lbs) and the mean weight of the population (166 lbs): 180 - 166 = 14 lbs.
Since we have the difference and the standard deviation (26 lbs), we can now calculate the Z-score:
Z = (difference) / (standard deviation) = 14 / 26 ≈ 0.54.
The average weight beyond which the elevator would be considered overloaded is 180 lbs.
The corresponding Z-score for this weight is approximately 0.54.
For similar question on elevator.
https://brainly.com/question/14831265
#SPJ11
please help me this is worth alot of points:(
SOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
I´m sure this was already answered because for me it says it was from a while ago so ima just take tha points
THAMKSSSSSSSSSSSSSSSSSSSSSS
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.06) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2011?
Answer:
6%- 457 Million
Step-by-step explanation:
w=241(1.06)^11=457 million
Gina wants to make pumpkin pies for a Thanksgiving dinner. Thanksgiving. You need 8.8 pounds of squash and each pound it costs $0.93. How much will you spend
To calculate how much Gina will spend on squash for making pumpkin pies, we can multiply the required weight of squash by the cost per pound.
Weight of squash = 8.8 pounds
Cost per pound = $0.93
Total cost = Weight of squash * Cost per pound
= 8.8 * $0.93
= $8.16
Therefore, Gina will spend approximately $8.16 on squash for making pumpkin pies for Thanksgiving dinner.
Learn more about algebra here:
https://brainly.com/question/29003034
#SPJ11
ssume that a sample is used to estimate a population mean . find the 95% confidence interval for a sample of size 49 with a mean of 21.5 and a population standard deviation of 19.4. enter your answer as an open-interval
The 95% confidence interval for the population mean is (16.426, 26.574
To find the 95% confidence interval, we can use the formula:
Confidence interval = sample mean ± (z-score)*(population standard deviation/√n)
where the z-score for a 95% confidence level is 1.96.
Plugging in the values given in the question, we get:
Confidence interval = 21.5 ± (1.96)*(19.4/√49)
Simplifying this expression, we get:
Confidence interval = 21.5 ± 5.074
Therefore, the 95% confidence interval for the population mean is (16.426, 26.574) as an open-interval.
To know more about confidence interval click on below link :
https://brainly.com/question/31420373#
#SPJ11
the ratio of pencils to erasers is 4:1 if there are 20 pencils how many earsers are there
There are 5 erasers to accompany the 20 pencils based on the given ratio.
If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.
The proportion can be written as:
pencils/erasers = 4/1
Given that there are 20 pencils, we can substitute this value into the proportion:
20/erasers = 4/1
To solve for erasers, we can cross-multiply:
\(20*1=4*erasers\)
\(20 = 4*eraser\)
Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.
Dividing both sides by 4:
20/4 = erasers
5 = erasers
Therefore, there are 5 erasers.
To know more about ratio:
https://brainly.com/question/13419413
#SPJ4
round off to nearest 100 to 221
Step-by-step explanation:
hope helps you
have a good day
The fourth term of a sequence is 375. Each term after the first is five times the previous term. Write an explicit function that models the general term of the sequence f(n)
The explicit function that models the general term of the sequence can be written as f(n) = 375 * 5^(n-4), where n represents the position of the term in the sequence.
In this sequence, each term after the first is obtained by multiplying the previous term by 5. The first term is not explicitly given, but we can deduce it by working backward from the fourth term. Since the fourth term is 375, the third term would be 375 divided by 5, which is 75. Continuing this pattern, the second term would be 75 divided by 5, which is 15. Finally, the first term would be 15 divided by 5, which is 3.
To generalize this pattern, we observe that each term is obtained by multiplying the previous term by 5. In other words, f(n) = 5 * f(n-1). We also know that f(1) = 3. By substituting the previous term's expression into the equation, we get f(n) = 5 * 5^(n-1) * f(1). Simplifying further, we have f(n) = 375 * 5^(n-4).
Therefore, the explicit function f(n) = 375 * 5^(n-4) models the general term of the sequence, where n represents the position of the term in the sequence.
To learn more about explicit function click here:
brainly.com/question/29131887
#SPJ11
Prism a is similar to prism b. The volume of prism a is 2080 cm³. What is the volume of prism b? 260 cm³ 520 cm³ 1040 cm³ 16,640 cm³ a smaller prism with a side length of four centimeters. A larger, similar prism with a side length in the same position of eight centimeters.
Volume of B = 260 cm³ .
Given data:
Volume of the prism A = 2080
Now,
Let us find the ratio of the volume of prisms given in the diagram:
Va/Vb = 8³/4³
Vb = Va / 8
Since the condition is:
The volume of Prism A = The volume of Prism B
Therefore,
The ratio of their volumes should be 8.
Va/ Vb = 8
Since Volume of A = 2080
Plug-in the value, you would get:
2080 / 8 = Vb
Vb = 260cm³
Hence the volume of prism b is 260cm³ .
Learn more about prism,
https://brainly.com/question/12649592
#SPJ4
What is the slope of a horizontal line?
Answer:
0
Step-by-step explanation:
determine the angle theta in degrees between the calculated vector and the x‑axis, measured counterclockwise from the x-axis.
You can find the angle θ in degrees between the calculated vector and the x-axis, measured counterclockwise from the x-axis.
To determine the angle θ in degrees between a calculated vector and the x-axis, measured counterclockwise from the x-axis, you can use trigonometry. The x-component and y-component of the vector are needed for this calculation.
Calculate the ratio of the y-component to the x-component of the vector:
y/x = tan(θ)
Use the inverse tangent function (arctan or atan) to find the angle θ:
θ = atan(y/x)
Convert the angle from radians to degrees by multiplying by 180/π:
θ_degrees = θ * (180/π)
By following these steps, you can find the angle θ in degrees between the calculated vector and the x-axis, measured counterclockwise from the x-axis.
Know more about trigonometry here:
https://brainly.com/question/13971311
#SPJ11
65 points
1. Find the pattern and then write a rule and an
equation that represents the pattern. Then
complete the table,
X= 0 2 10 16 20
Y= 0 1 5 8 10
Rule: Y is equal to the square root of X.
Equation: Y = √X
What is algebraic expression?
An algebraic expression is when we use b and words in solving a particular mathematical question.
In this table, the relationship between the values of X and Y appears to be Y = √X.
This can be expressed as a mathematical rule and equation as follows:
Rule: Y is equal to the square root of X.
Equation: Y = √X
We can use this rule to complete the table as following figure.
To know more about algebraic expression visit,
https://brainly.com/question/4344214
#SPJ1
The Death Star has 104 mile diameter. How many Death Stars could fit inside of Charon, Pluto's moon, with a radius of 377 mi? Round to the nearest whole number.
Rounded to the nearest whole number, we find that approximately 287 Death Stars could fit inside Charon.
To find out how many Death Stars could fit inside Charon, we need to compare their sizes based on their respective diameters.
The Death Star has a diameter of 104 miles, which means it has a radius of 52 miles (half of the diameter).
Charon has a radius of 377 miles.
To determine how many Death Stars can fit inside Charon, we can calculate the ratio of their volumes.
The volume of a sphere can be calculated using the formula: V = (4/3) * π * r^3
Let's calculate the volumes:
Volume of Death Star = (4/3) * π * (52)^3
Volume of Charon = (4/3) * π * (377)^3
Now, we can calculate the ratio:
Ratio = (Volume of Charon) / (Volume of Death Star)
Ratio ≈ [(4/3) * π * (377)^3] / [(4/3) * π * (52)^3]
Simplifying the equation:
Ratio ≈ (377^3) / (52^3)
Using a calculator, we find:
Ratio ≈ 40,289,753 / 140,608
Ratio ≈ 286.582
To know more about nearest whole number,
https://brainly.com/question/29205751
#SPJ11
solve the picture (: ill give brainlist if correct (:
Answer:
The answer for your question is A) 1/3
Step-by-step explanation:
as both 21 are like terms you can just add up 3 & 4 and do division
(would appreciate it if you could mark me the brainliest:))
\( \frac{3}{21} + \frac{4}{21} \)
to find:the simplest form.
solution:\( \frac{3 + 4}{21} \)
\( = \frac{7}{21} \)
\( = \frac{1}{3} \)
hence, the correct answer is option A.
Which operation should you perform last in the expression 12 × 42?
Answer:
The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.
Step-by-step explanation: