Answer:
25.317977802344
Step-by-step explanation:
25x25= 625
4x4= 16
625+16= 641
The square root of 641 is 25.317977802344
n this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words, we will try to find the square root value with at least 1 correct decimal place.
Step 1:
Divide the number (641) by 2 to get the first guess for the square root.
First guess = 641/2 = 320.5.
Step 2:
Divide 641 by the previous result. d = 641/320.5 = 2.
Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).
Error = new guess - previous value = 320.5 - 161.25 = 159.25.
159.25 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.
Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).
Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.
78.6374031008 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.
Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).
Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.
37.4267448218 > 0.01. As error > accuracy, we repeat this step again.
Step 5:
Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.
Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).
Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.
15.499997937 > 0.01. As error > accuracy, we repeat this step again.
Step 6:
Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.
Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).
Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.
4.0465390504 > 0.01. As error > accuracy, we repeat this step again.
Step 7:
Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.
Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).
Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.
0.3193236291 > 0.01. As error > accuracy, we repeat this step again.
Step 8:
Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.
Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).
Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.
0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.
So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46
The gross salary is the amount received by an individual prior to the deduction of the taxes.
Given that:
Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.
i.e.
= Ghc4687.24 - Ghc421.78
= Ghc4,265.46
Learn more about gross salary here:
https://brainly.com/question/13582411?referrer=searchResults
https://brainly.com/question/16688602
You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
HELppppppppppppppppp
9514 1404 393
Answer:
40 -8p -3w$4Step-by-step explanation:
Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.
40 -8p -3w . . . . represents the money remaining
For p=3 and w=4, this evaluates to ...
40 -8(3) -3(4) = 40 -24 -12 = 4
Ms. Liu will have $4 left after her purchase.
A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
Learn more about equations in: https://brainly.com/question/10724260
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What is the value of the expression (2.75) (5.2)?
Answer:
14.3
Step-by-step explanation:
2.75 * 5.2=14.3
HELPPPPPPPPPPPP PLEASEEEE
Answer:4
Step-by-step explanation:
6x < 36
what is the right answer
X< or >6
Answer:
X < 6
Step-by-step explanation:
Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.
Find the indicated values by using the table.
X= g(x)=2x+1
lim┬(x→1)〖(1-√x)/(x^2-1)〗
Answer:
- 1/4
Step-by-step explanation:
[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]
A bank loaned out $13,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $1500, how much was loaned at 7%?
Answer:
Total yearly interest for the two accounts is: $1500
Step-by-step explanation:
Total amount of money invested: $13000
x+y=13000,
Total yearly interest for the two accounts is: $1500
0.07*x+0.17*y=1500
x=13000-y
Substitute for x
0.07*(13000-y)+0.17*y=1500
Multiply out
910-0.07y+0.17*y=1500
Combine like terms.
0.1*y=590
Isolate y
y=$ 5900.00 at 17%
x=13000-y
Calculate x
x=$ 7100.00 at 7%
Check
0.07*7100+0.17*5900=1500
497+1003=1500
1500=1500
If this statement is TRUE and neither amount is negative then all is well
(Hope this helps can I pls have brainlist (Crown)☺️)
What is
(1/2)^2- 1/2 -6
.
Answer:
-6.25 tI am not sure if this can help you but this is what I got
What is the area of this trapezoid?
Enter your answer in the box.
= cm²
A = 440
answer...
A
=
a
+
b
2
h
=
25
+
19
2
·
20
=
440
Im not sure what method is best used to solve these types of inequalities.
Answer:
There is no specific method you can solve it as you like
Step-by-step explanation:
you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)
If you need further help comment down :)
Answer:
I would say solve for the x value
Step-by-step explanation:
2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
-56 = a(3²) + b(3) + c
-56 = 9a + 3b + c 1)
-16 = a(-1²) + b(-1) + c
-16 = a - b + c 2)
-51 = a(-2²) + b(-2) + c
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
Find the values of a and b.
Step-by-step explanation:
Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3
What is jk? Please help asap!!!
Answer:
20 m
Step-by-step explanation:
We can see from the hatch marks that JK is equal to one half of HG
2(6x - 4) = 10x
12x - 8 = 10x
2x - 8 = 0
2x = 8
x = 8/2
x = 4
therefore to find JK we will substitute x with 4
JK = (6(4)-4) = 24 - 4 = 20m
Place value of 4 in 23,56,456 is
Answer:
Hundreds
Step-by-step explanation:
Standard Form:
2,356,456
Place Value:
From left to right for 2,356,456
Digit Place Value
2 Millions
3 Hundred Thousands
5 Ten Thousands
6 Thousands
4 Hundreds
5 Tens
6 Ones
Word Form:
2,356,456 =
two million three hundred fifty-six thousand four hundred fifty-six
Mrs. O'Brien's hens laid 9 dozen eggs today. Since a dozen is 12, how many eggs did the hens lay? (5th grade math LOL)
Answer:
108 eggs
Step-by-step explanation:
9×12=108 eggs
Hope it helps!!!
Parallelogram A and B are similar. What is the scale factor from rectangle A to B? 12 2 5 А B 4.8
Answer:
i dont get it
Step-by-step explanation:
Solve : (6a -5b -8c) - ( 15b + 2a - 5c)
Answer:
4a - 20b - 3c
Step-by-step explanation:
6a - 5b - 8c - 15b - 2a + 5c
= 4a - 20b - 3c
I HOPE IT WILL HELP YOU.
Thank you.
I HOPE YOUR DAY GOES GREAT.
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the input and the output are defined as follows:
Input: Time in seconds.Output: Velocity in m/s.Hence the points are given by:
(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).
Using these points and a calculator, the equation is:
v = 3.64s + 5.7
The intercept of 5.7 represents the initial velocity in m/s.
A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800
#SPJ1
Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.
Please help AND give a good explanation. Like I am finding this super hard and well I can NOT get this question wrong unless I want a C on this. Help :(
9514 1404 393
Answer:
4 + y < 6
see attached for a graph
Step-by-step explanation:
The English description "the sum of A and B" is written symbolically as ...
A + B
The symbol for "is less than" is <.
Then "the sum of 4 and y is less than 6" will be written ...
4 + y < 6
__
The solution to this is found by subtracting 4 from both sides of the inequality:
4 +y -4 < 6 -4
y < 2 . . . . . . . . . simplified solution
The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.
Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi
Answer: Taylor is 14 and Jessi is 13
Step-by-step explanation:
Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
The sum of two numbers, x and y, is 12. The difference of four times the larger number and two times the smaller number is 18. Which system of equations should you use to find the two numbers?
Answer:
4x – 2y = 18
Step-by-step explanation:
Hope this helps!
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.
Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]
A.4/10
B.1/20
C.3/40
D.2/20
Answer:
it's C. 3/40
Step-by-step explanation:
ghjfrukkbf
What is the sum of the columns and rows?
Answer: 90
6+15+24=45
45*2=90 (the numbers are the same so just x2)
