Answer:
6
Step-by-step explanation:
:-)
You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years
twice the square root of a number is 12
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
PLEASE HELP! URGENT
50°
Step-by-step explanation:
notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°
Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Do you expect the mean or the median of these toenail arsenic levels to be larger?
Answer:
The mean, because the outlier values are above the mean.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all values of the data-set divided by the number of values.
Median:
The median of a data-set is the value that separates the lower 50% from the upper 50% of the sorted set.
0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Finding the median, since it is easier.
8 values, the median is the mean between the 4th and the 5th values. (3.4+3.9)/2 = 3.65
The values below the median are quite close to it, while those above it are considerably more distant, considered outliers, which means that we should expect the mean to be larger than the median.
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
Which algebic expression is “ten less than a number divided by twelve”?
StartFraction n Over 12 EndFraction minus 10
StartFraction 12 over n EndFraction minus 10
10 minus StartFraction n Over 12 EndFraction
10 minus StartFraction 12 Over n EndFraction
Answer:
It is n/12-10
Step-by-step explanation:
Which is A
The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.
The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.
Next, we divide the expression "n - 10" by twelve:
Start Fraction n - 10 Over 12 End Fraction
Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.
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Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
4 1/2 flowers
Step-by-step explanation:
2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.
simplify 7/341 and give step by step explanation! I will mark you a brainliest.
Answer:
it can't be simplified
Step-by-step explanation:
Can someone help me please?
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
how to rewrite 6(38) using the distributive property?
The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?
Answer:
100
20 = 50
50 x2
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
250 books × 40%
= 100
other way to solve it is
250 × 0.40
= 100 fiction books
It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?
The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,
Speed = Distance / Time
Speed of Steve = 1.4 miles / 12.25 minutes
Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,
Speed = Distance / Time
Time = Distance / Speed
Time = 2.6 miles / (1.4 miles / 12.25 minutes)
Time = (2.6 miles × 12.25 minutes)/1.4 miles
Time = 22.75 minutes
Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
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write the digit on the blank which occupies the place value
Answer:
guganitckihkgucifufu
PLs HALP will give brainliest
Answer:
C. 1/3x - 9
Step-by-step explanation:
Ok so....
-3 + -6 is just -9 so instead of writing all that we can just write -9.
So what you should have now should look something like this
2/3x - 1/3x - 9 ( I just put it in a different order )
So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this
1/3x - 9
Which is the answer!!
TAADAA!!
Hope this helps. Have a good day!
find the lenght of ab
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।
Answer:
English pls
Step-by-step explanation:
अन्यथा बहस करें, शिकायतें पकड़ें।
A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?
Answer:
Company A is 1.99 times B.
Step-by-step explanation:
Company A charges:
[tex]A=70.50+0.50=\$71/mile[/tex]
Company B charges:
[tex]B=35.50+0.09=\$35.59/mile[/tex]
We just need to divide A by B:
[tex]x=A/B=1.99[/tex]
Therefore, company A is 1.99 times B.
I hope it helps you!
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
Which equation shows this volume formula solved for h?
Answer:
Step-by-step explanation: the answer is B i think
Answer:
A
Step-by-step explanation:
[tex]V = \frac{nd^2h}{6}[/tex]
multiply both sides by 6
[tex]6V = nd^2h[/tex]
divide both sides by [tex]nd^2[/tex]
[tex]\frac{6V}{nd^2} = h[/tex]
So the answer is A.
Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.
Answer:
.62
Step-by-step explanation:
Keep it nice and simple.
Answer:
.62
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
-1
Step-by-step explanation:
If you multiply x by -1 you will get the y value to be the negative of that number.
Hope this helps!!
Answer:
so first find what y equals then put the negative in front of it lol there is a pattern positive and negative
3,-3
4,-4
5,-5
6,-6
y,-y
Step-by-step explanation:
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST
FIND THE EQUATION OF THE LINE FROM THE FOLLOWING GRAPH. please give steps
Answer:
I can't tell
Step-by-step explanation:
I'm on an ocps school laptop and i can't see the image
Answer:
D. x+2y=12
Step-by-step explanation:
From the graph we know that the y-intercept is 6. (0,6) and the x-intercept is 12. (12,0)
The graph is going down so the slope is negative, from (0,6) count down to (0,0) and count right 12 unit to reach the x-intercept(12,0) the slope is -6/12 or -1/2.
the equation of the line is y=-1/2+6 or x+2y=12
x+2y=12
2y=-x+12
y=-1/2x+6
Help needed with this
Answer:
el 3
Step-by-step explanation:
Step-by-step explanation:
step 1. a function must only have a single y value for each x value.
step 2. for the input x, there can only be one output or result y.
step 3. #1 is a function because for each x there is only one y.
step 4. #2 and #3 are functions also.
step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)
step 6. (2, 2) and (2, -2) also makes #4 not a function.
Which expression is undefined?
Answer:
C. 4/0
Step-by-step explanation:
You can't divide 4 by 0.
A. you would have gotten -0.5
B. you would have gotten 0
D. you would have gotten 0
Hope this help!! :)
Answer:
C. [tex]\frac{4}{0}[/tex]
Step-by-step explanation:
you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.
if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.
i hope this helps! have a great day <3
A dozen of oranges costs P288.50. About how much is the cost of 5.75 dozen?
A.$2,800
B.$1,900
C.$1,800
D.$900
Answer:
A is the correct answer, hope this helps
Find the roots of the equation below.
x2 - 6x + 12 = 0
-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3
Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40