Answer:
32/125
Step-by-step explanation:
Answer:
Steps to convert 0.265 into a fraction:
Write 0.265 as
0.265/1
Multiply both the numerator and denominator by 10 for each digit after the decimal point:
0.265/1 =
0.265 x 1000/1 x 1000
= 265/1000
In order to reduce the fraction we find the Greatest Common Factor (GCF) for 265 and 1000. A factor is just a number that divides into another number without any remainder.
The factors of 265 are: 1 5 53 265
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 265 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
265/1000 = 265 ÷ 5/1000 ÷ 5
=
53/200
Simply the answer is 53/200
Hope This Helps!!!
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze. How much honey does Ben have left?
Answer:
1 1/3
Step-by-step explanation:
Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.
The required amount of honey left is given as 1 1/3.
Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3
Thus, the required amount of honey left is given as 1 1/3.
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Show that ∑ i=1
n
x i
(x i
− x
ˉ
)=∑ i=1
n
(x i
− x
ˉ
) 2
(Note that the same holds even if we were to show ∑ i=1
n
x i
(y i
− y
ˉ
)=∑ i=1
n
(x i
− x
ˉ
)(y i
− y
ˉ
)) Problem Two 2a) Suppose you are interested in a simple regression, y i
= β
^
0
+ β
^
1
x i
+u i
, from a sample data-set. Use your proof in Question 1 to show the analytic formulae for β
^
0
and β
^
1
. 2b) Suppose you are interested in a multiple regression, y i
= β
^
0
+ β
^
1
x 1i
+ β
^
2
x 2i
+u i
, from a sample data-set. Use your proof in question 1 to show the analytic formulae for β
^
0
, β
^
1
, β
^
2
. [Note: What I want you to learn from Question 2b) is that as you continue adding explanatory variables, you can keep on deriving the analytic formula for the coefficients.]
The formula show that the coefficients are equal to the covariance between each explanatory variable and the dependent variable divided by the variance of the explanatory variable.
Proof:Let us assume that Sxx=∑i=1n(xi−xˉ)2, Sxy=∑i=1n(xi−xˉ)(yi−yˉ), and b1 is the slope of the regression line.
The sum of the squares of residuals (SSres) is defined as the total deviation of the dependent variable around the regression line.
According to the regression theory, the line of best fit passes through the point (xˉ,yˉ).
Therefore, the total deviation of the dependent variable around the mean is the sum of the deviations of each point from this point.
We can, therefore, write:SST=∑i=1n(yi−yˉ)2=∑i=1n[(b1xi+ei)−(b1xˉ+yˉ)]2=∑i=1n[(b1xi−b1xˉ)−(yˉ−yi)]2=∑i=1n(b1xi−b1xˉ)2+∑i=1n(yi−yˉ)2−2∑i=1n(b1xi−b1xˉ)(yˉ−yi)
The first part of this expression is equal to b1∑i=1n(xi−xˉ)2.
Similarly, the second part of this expression is equal to SST.
Finally, the third part of this expression is equal to -2b1Sxy.
We can now write:SST=b1Sxx+SST-2b1SxySST-SST=b1(Sxx-2Sxy)+SSTb1(Sxx-2Sxy)=SSTSxx-2Sxyb1=SxySxxb1
Therefore,b1=SxySxx
This shows that the slope of the regression line is equal to the covariance between x and y divided by the variance of x. Hence,β^1=SxySxx.2a)
The formulae for β^0 and β^1 are given below:β^1=SxySxxβ^0=yˉ−β^1xˉ2b) The formulae for β^0, β^1, and β^2 are given below:β^1=Sxy1Sxx1β^2=Sxy2Sxx2β^0=yˉ−β^1xˉ1−β^2xˉ2
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Perform the operation.
(2x2 + 7x – 4) + (-10x – 4)
Answer:
=2x2−3x−8
Step-by-step explanation:
Let's simplify step-by-step.
2x2+7x−4−10x−4
=2x2+7x+−4+−10x+−4
Combine Like Terms:
=2x2+7x+−4+−10x+−4
=(2x2)+(7x+−10x)+(−4+−4)
=2x2+−3x+−8
Answer:
=2x2−3x−8
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Burger Quick is able to estimate their wait time more consistently because it has a smaller IQR (Interquartile Range).
What is an IQR ?
The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (the line in the box at 75% of the data) and the first quartile (the line in the box at 25% of the data). The smaller the IQR, the less spread there is in the data and the more consistent the wait times are.
In this case, Burger Quick has an IQR of 14.5 (24 - 9.5), while Super Fast Food has an IQR of 7 (15.5 - 12).
Therefore, Burger Quick is able to estimate their wait time more consistently than Super Fast Food. The range, which is the difference between the minimum and maximum values in the data, is not a good measure of consistency because it can be influenced by extreme values.
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$14.40 for 4.5 pounds of beef
Answer:
One pound of beef is $3.2
Step-by-step explanation:
14.40 / 4.5
= 3.2
CHECK:
3.2 * 4.5
=14.40
Answer:
Step-by-step explanation:
The unit rate for this beef is:
$14.40
---------- = $3.20/lb
4.5 lb
Pls help
A.
B.
C.
D.
Answer:
The answer is A so put it
He regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2
Answer:
41.57 in²
Step-by-step explanation:
Answer:
41.57 in² round it up and it's 42
Step-by-step explanation:
I just did it
Brainliest pls
Simplify expression
6а + 5а - b - 5b + 2а
Please help :(
You just combine the like terms.
6a+5a+2a = 13a
-b+-5b = -6b
13a-6b is the simplified version of the expression.
If x^2 + 2= 3^2/3+3^-2/3 then prove that 3x^2+ 9x - 8 = 0.
A factory has a batch of hand sanitizer with 50\%50%50, percent alcohol content.
How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?
We can determine that we need 216 mL of 100% alcohol and 384 mL of 50% alcohol using the percentage by volume of the solutions that have been provided.
What is the percentage by volume?Volume/volume percentage, often known as v/v percent or %v/v, is a unit used to express how much of a substance is present in a solution.
It is defined as the volume of the solute divided by the sum of the volumes of the solution, multiplied by one hundred.
So, we know that:
A + B = 600 mL
We also understand that the final solution's total alcohol content must equal:
0.68 * 600 mL = 408 mL
So, it follows that:
0.50 * A + B = 408 mL
We can infer the following from the first equation:
A = 600 mL - B
In the second equation, using that A, we obtain:
0.50 * (600 mL - B) + B = 408 mL
300 mL - 0.50 B + B = 408 mL
The result of rearranging this equation is:
B - 0.50 * B = 408 mL - 300 mL
0.50 * B = 108 mL
B = 108 mL / 0.50
B = 216 mL
A = 600 mL - 216 mL = 384 mL
Therefore, we can determine that we need 216 mL of 100% alcohol and 384 mL of 50% alcohol using the percentage by volume of the solutions that have been provided.
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are these correct? and what’s the answer for #24?
The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)
How to determine the conversion?The measure is given as:
0.85 hg
As a general rule:
1 hectogram (hg) = 1000 decigram (dg)
So, multiply both sides of the above equation by 0.85
So, we have:
0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)
Evaluate the product
0.85 hectogram (hg) = 850 decigram (dg)
Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)
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PLEASE HELP Write an equation of the line shown in the graph in slope intercept form (y = mx + b).
Show your work for full credit.
(1,2) (6,0)
Answer:
y = -2/5x + 12/5
Step-by-step explanation:
(1,2) and (6,0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-2)/(6-1)
m=(-2)/5
m = -2/5
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = -2/5(x - 1)
y - 2 = -2/5x + 2/5
y = -2/5x + 12/5
What is the sum of (x ^ 2 - 3x + 2) and (5x ^ 2 - 3x - 8)
Answer:
6x^2-6x-6
Step-by-step explanation:
(x^2-3x+2)+(5x^2-3x-8)
x^2+5x^2-3x+(-3x)+2+(-8)
6x^2-3x-3x+2-8
6x^2-6x+2-8
6x^2-6x-6
-14 < 7x < 21
Solve the compound iniquity and graph it’s solution.
Answer:
-2 < x < 3
Step-by-step explanation:
-14 < 7x < 21
Divide all three sides by 7 :
\(-14 < 7x < 21\)
\(\Longleftrightarrow \frac{-14}{7} < \frac{7x}{7} < \frac{21}{7}\)
\(\Longleftrightarrow -2 < x < 3\)
The solution in interval notation (-2 , 3)
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate
• 12 students voted for strawberry
• 20 students voted for vanilla
What percentage of the students chose vanilla as their favorite ice-cream flavor?
Answer:
40%
Step-by-step explanation:
18+12+20=50
20/50×100=
40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The rundown underneath shows the consequences of a review of the most loved frozen yogurt flavors among center school understudies.
18 understudies decided in favor of chocolate12 understudies decided in favor of strawberry20 understudies decided in favor of vanillaThe total number of students is given as,
Total = 18 + 12 + 20
Total = 50
Then the percentage of the students who chose vanilla as their favorite ice cream flavor will be given as,
P = (20 / 50) x 100
P = 0.40 x 100
P = 40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
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The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
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Becky is shipping 5 boxes that all weigh the same, and 1 enevelope that weighs 7.5
pounds. The total weight of the shipment is 65 pounds. what is the weight in pounds of
each box?
OA. 5.5
OB. 11.5
O C. 14.5
O D. 20.5
K
Each box weighs 11.5 pounds. The answer is option B.
What is Pound?Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb".
According to question:To solve the problem, we need to use some basic algebraic equations. Let x be the weight of each box in pounds. Then, we can set up the following equation:
5x + 7.5 = 65
Simplifying this equation, we get:
5x = 57.5
Dividing both sides by 5, we get:
x = 11.5
Therefore, each box weighs 11.5 pounds. The answer is option B.
Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb". One pound is equal to 16 ounces, and approximately 0.45 kilograms. It is commonly used to measure the weight of objects, such as people, animals, and goods.
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what is 6x +7=8x -15 solved.
Answer:
11
Step-by-step explanation:
6x+7=8x-15
7=2x+15
22=2x
11=x
Answer:
11 =x
Step-by-step explanation:
6x +7=8x -15
Subtract 6x from each side
6x-6x +7=8x-6x -15
7 = 2x -15
Add 15 to each side
7+15 = 2x-15+15
22 =2x
Divide each side by 2
22/2 = 2x/2
11 =x
answer in feet and inches
b) (2 yd. 2 ft.) + (7 yd. 9 in)
Answer:
12 feet 9 inches
Step-by-step explanation:
There are 3 feet in a yard, and 12 inches in a foot. Multiply those together and you get 36 inches in a yard.
2 yards × 36 inches/yard = 72 inches
2 feet × 12 inches/foot = 24 inches
72 inches + 24 inches = 96 inches
------------
7 yards × 36 inches/yard = 252 inches
252 inches + 9 inches = 261 inches
==============
Add those together:
96 inches + 261 inches = 357 inches
Then to convert to feet again, you need to divide by 12 and find the remainder. I prefer to do it with a calculator like this, but you can do it however you prefer:
357 ÷ 12 = 29.75 feet (round down)
12 × 29 = 348 inches in 12 feet
Then find the remainder:
357 - 348 = 9 inches
12 feet 9 inches
Previous Problem Problem List Next Problem (1 point) Find the curvature of the plane curve y=32² +2z-3 atz-4 k KO
Given that the plane curve y = 32² + 2z - 3 at z = 4k0.We have to find the curvature of the curve.
The formula for the curvature of the curve is given as follows:κ = |r′×r′′|/|r′|³ where r' and r'' are the first and second derivatives of the given function, respectively. Here, the given function is y = 32² + 2z - 3at z = 4k0
So, the derivative of y with respect to z will ber' = 2z
Therefore, the second derivative of y with respect to z will be
r'' = 2
The value of z is given as 4k0.
Substitute the value of z in r' to get r' = 2(4k0) = 8k0
Substitute the value of z in r'' to get
r'' = 2
Thus, the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 will beκ = |r′×r′′|/|r′|³= |8k0 × 2|/|8k0|³= 2/8k0²= 1/4k0²
Therefore, the answer isκ = 1/4k0².
Therefore, the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 will be 1/4k0². Hence, this is the final answer.
The conclusion is that the curvature of the given curve y = 32² + 2z - 3 at z = 4k0 is 1/4k0².
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A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent
Answer:
11%
Step-by-step explanation:
I think that's the answer just check first
A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? y = 32 x minus one-half y = one-half x minus 32 y = negative one-half x + 32 y = negative 32 x + one-half Mark this and return
Answer:
C. y = -1/2x + 32
Step-by-step explanation:
I just took the test :)
Answer:
y=-1/2x+32
Step-by-step explanation:
Please help
In the polynomial expression 12x^2-42x+143, the value of the term of degree ZERO is ____?
Answer:
143
Step-by-step explanation:
You want the value of the term with degree 0 in the polynomial 12x²-42x+143.
DegreesThe degree of each term is the exponent of the variable. A term with no variables has degree 0.
The term with no variables is also called the constant term. The constant in this polynomial is 143.
The value of the term with degree 0 is 143.
__
Additional comment
If there is more than one variable, the degree of the term is the sum of their exponents.
Mr. Adams has poster paper that is 10 3/4 feet long. He wants to make sheets that are 1/4 of a foot long to make paper airplanes. How many sheets can he make?
Answer:
43
Step-by-step explanation:
divide 10 3/4 by 1/4
A garden designer designed a square decorative pool. The pool is surrounded by a walkway.On two opposite sides of the pool, the walkway is 8 ft. On the opposite sides, the walkway is 10 ft. The final design for the pool and walkway covers a total area of 1400 square ft.
Note that the pool is in the shape of square with each of its four sides measuring 'x' units.
(a)
So the total length of the rectangular system is given by,
\(\begin{gathered} L=x+10+10 \\ L=x+20 \end{gathered}\)Thus, the total length of the rectangle is (x+20) units.
(b)
Similarly the total width of the rectangular system is given by,
\(\begin{gathered} W=x+8+8 \\ W=x+16 \end{gathered}\)Thus, the total width of the rectangle is (x+16) units.
(c)
Consider that the area of the rectangular area is calculated as,
\(\text{Area}=\text{Length}\times\text{ Width}\)Substitute the values,
\(\begin{gathered} A=(x+20)(x+16) \\ A=x(x+16)+20(x+16) \\ A=x^2+16x+20x+20\times16 \\ A=x^2+36x+320 \end{gathered}\)Thus, the above expression gives the area of the given rectangle.
Please help! need help with geometry work.
Answer:
1) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)
An empty bucket weighs 800g.
The weight of the bucket increases to 3.3kg when filled with water.
Calculate the percentage increase in the weight of the bucket.
Answer:
312.5%
Step-by-step explanation:
Convert 3.3kg to grams by multiplying by 1000
3.3×1000=3300g
%increase =Increase ÷Original ×100%
Increase=3300g -800g=2500g
2500÷800×100
=312.5%
The percentage increase in the weight of the bucket due to filling of water into it is 312.5.%
What is a percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. It can be calculated by using the formula:
Percentage=number*100/total number
How to calculate percentage?
We have been given that the weight of empty bucket is 800g and the weight of the bucket increases to 3.3 kg when filled with water.
We will first convert 3.3kg to g which will be 3300g
The percentage increase in the weight of the bucket
=(3300-800)*100/800
=250000/800
=2500/8
=312.5%
Hence the percentage increase in the weight of the bucket is 312.5%.
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I NEED HELP!!! 10 POINTS!!! AND BRAINLYIST
Answer:
GD = 5/2 sqrt 2 = 2½ sqrt 2
EG = 5/2 sqrt 6 = 2½ sqrt 6
Multiply: (squared 2x^3 + squared 12x) (2 squared 10x^5 + squared 6x^2)
Answer:
80x^8+480x^6+12x^5+72x^3
Intro NOTE: If your answer includes a fractional year, please include any decimals. Part 1 Attempt 1/1 How many years will it take for you to quadruple (4x) your money if you can invest at a rate of return of 19%
It will take approximately 7.58 years to quadruple your money with a rate of return of 19%.
To determine the number of years it will take to quadruple your money with a rate of return of 19%, we can use the concept of the rule of 72.
The rule of 72 states that you can approximate the number of years it takes to double your money by dividing 72 by the interest rate. In this case, we want to quadruple our money, so we need to double it twice.
Dividing 72 by 19, we get approximately 3.79. This means that it takes about 3.79 years to double your money with a 19% return.
Since we want to double our money twice, we multiply 3.79 by 2, which gives us approximately 7.58 years.
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