Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute
[tex]9282= 4200(1+r)^2\\\\9282/4200= (1+r)^2[/tex]
[tex]1+r= \sqrt{\frac{9282}{ 4200} }\\\\1+r= \sqrt{2.21} \\\\1+r= 1.49\\\\r=1.49-1\\\\r= 0.49\\\\[/tex]
the rate is 49%
For 4 years we have
[tex]9282= 4200(1+r)^4\\\\9282/4200= (1+r)^4[/tex]
[tex]1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\[/tex]
the rate is 30%
What is 6 - 2 over 3 (x + 5) = 4x algebraically
Answer: x = 4/7
Explanation and steps is in the image below.
The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
What is the equation?The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
6 - 2(x + 5)/3 = 4x
Apply the distributive property of multiplication,
6 - (2x + 10)/3 = 4x
(2x + 10)/3 + 4x = 6
2x/3 + 10/3 + 4x = 6
2x/3 + 4x = 6 - 10/3
Take the LCM in the above equation,
14x/3 = 8/3
14x = 8
x = 8 / 14
x = 4 /7
Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
Learn more about equations here:
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50% of _= 2
help!!! thanksssss
Answer:
100
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
How many different ways can you write a ratio?
Answer:
3 different ways
Step-by-step explanation:
Answer:
3 different ways
Step-by-step explanation:
hope this helps
example of the diffrent way to write a ratio :
5 to 10
5 : 10
[tex]\frac{5}{10}[/tex]
Help Pls Fast! (55 POINTS!)
Answer:
Close to 6 miles. Exact is between 5.7 and 6
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
Answer:
D
Step-by-step explanation:
points (-4,4) and (0,5)
slope: (y2-y1)/(x2-x1)
(5-4)/(0+4) = 1/4
y intercept given: (0,5)
e) x(m - n) + 2(m - n).
Answer:
xm-xn+2m-2n
Step-by-step explanation:
x – 3 + 9x + 7 what is the awnser
Answer:
10x+4 or 2(5x+2)
Step-by-step explanation:
you just add
Answer:
Guide for how to get your answer and your answer
step 1
Find roots (zeroes) of : F(x) = x3-9x-7
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -7.
step 2
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,7
Lets test
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-7 1 -7.00 -287.00
1 1 1.00 -15.00
7 1 7.00 273.00
found no rational roots.
(end equation of part 2) x3 - 9x - 7 = 0
step 4
Solve x3-9x-7 = 0
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = x3 - 9x - 7
At x= -3.00 F(x) is equal to -7.00
At x= -2.00 F(x) is equal to 3.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl, F(x) is zero,
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
Next Middle will get us close enough to zero:
F( -0.844759464 ) is -0.000000848
The desired approximation of the solution is:
x ≓ -0.844759464
0.844759464 is your answer..
Step-by-step explanation:
Using Geometric Mean, solve for x.
Answer:
x = 6 units
Step-by-step explanation:
By geometric mean property:
[tex]x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units[/tex]
find the square root of 5.494
[tex] \sqrt{5.494} [/tex]
Answer:
the square root of 5.494 is 2.34
Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
The number is 5.494
Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
= 2.34
Hence, the square root of 5.494 is 2.34
Therefore the same is to be considered
Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need?
Answer:
18 eggs
Step-by-step explanation:
6 family member has 1 omelet, each omelet needs 3 eggs, 6 x 3 = 18 eggs :D
Write an equation in slope-intercept form that represents the data. Show ALL work.
1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation
Answer:
y = 5x + 100
Step-by-step explanation:
Using the x and corresponding y values from the given table.
Let's use the coordinate (0, 100) and (1, 105)
The equation in slope intercept form is expressed as y = mx+c
m is the slope
c is the y-intercept
Slope m = y2-y1/x2-x1
m = 105-100/1-0
m = 5/1
m =5
Get the y intercept
Substitute the slope m = 5 and any point say (0, 100) into the equation
y = mx+c
100 = 5(0) + c
100 = c
c = 100
Get the required equation;
y = mx+c
y = 5x + 100
Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100
Solve 4x- c= k for x.
A. x = 4(k+ c)
B. x = k +c / 4
C. x = k-c/4
D. x = 4(k - c)
Answer:
The answer would be x= C+K/ 4
Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.
Answer:
216g of margarine
Step-by-step explanation:
From the above question:
12 small cakes required 108g of margarine
If he would be making 24 of the small cakes, hence, that would be calculated as:
12 small cakes = 108g of margarine
24 small cakes = x
Cross Multiply
12 × x = 24 × 108g
x = 24 × 108g/12
x = 216g of margarine
Therefore, he would need 216g of margarine to make 24 of small cakes
You bought a soda for $0.50, then sold it for $1.00. What was the percent
change?
Answer:
50
Step-by-step explanation:
Answer:
I think the answer is 50%
Step-by-step explanation:
$1.00-$0.50=$0.5
0.5 as a percentage is 50%
Solve h
-7 3/4 - h = 18 1/2
if x = 1/2 when y = 36 what id x when y = 144
hhhhhheeeeeeeellllpppp
Answer:
y = 0.35x + 2.5
Step-by-step explanation:
What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree
ANSWER IS 150 DEGREES
Answer:
C
Step-by-step explanation:
By converting radians 5π /6 into a degree, we get the nearest degree 150.
How to convert radians into a degree?
We can convert radians into a degree by using the formula
Degree = Radians x (180°) / π
To 5π /6 convert radians into a degree,
Degree = Radians x (180°) / π
Degree = 5π /6 x (180°) / π
= 5 /6 x (180°)
= 150°
Learn more about Degree;
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Taylor is buying a new flashlight. He can choose from red, blue, and silver flashlights that come in both a large size and a small size.
Which list shows all the possible flashlights that Taylor can choose?
A large, small
B. red, blue, silver
c. small red, small blue, large red, large silver
D small red, large red, small blue, large blue, small silver, large silver
Answer:
D
Step-by-step explanation:
It has all the flashlight colors and sizes.
what is the mean absolute deviation of the numbers in the list?
32, 43, 38, 28, 51
A. 34.4
B. 6.88
C. 38.4
D. 7.68
Answer:
The mean for these numbers would have to be 38.4
Forgive me if I'm wrong!
Step-by-step explanation:
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft what is the height corresponding to the 8 ft base
Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.
Which of the following is the additive identity for rational numbers?
Choose 1 answer:
A. Reciprocal of the number
B. 0
C.1
D.Negative of the number
Answer:
B
Step-by-step explanation:
For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.
help!!! 6th grade math i will give brainliest
Answer:
Value 16 and exponential is 2 over 4
Step-by-step explanation:
Answer:
2^4 so A
Value=16
Step-by-step explanation:
2x2x2x2=2^4
2x2x2x2=16
2x2=4
2x2=4
4x4=16
What is the distance between point A and point B?
Answer:
81
Step-by-step explanation:
please help i’ll do anything and give the brain thing :((
Answer:
add me on snap kharding1805 and I will add you back
which expression is equivalent to
2(3g-4)-(8g+3)?
-2g-1
-2g-5
-2g-7
-2g-11
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11
helpppppppppppppppppp
Answer:
hmmmmmmmmmm i think its inverse operation
ten divided by three
Answer:
3.333333
Step-by-step explanation:
thats what it is my guy
How many integers are there between -12 and 12?
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of
seconds, t (x), that the water is running.
What is the constant of proportionality? k=-
help
Answer:
The constant of proportionality = k = 2/5
Step-by-step explanation:
Given that a garden hose fills a 2-gallon bucket in 5 seconds.Also given that The number of gallons, g (/), is proportional to the number of
seconds, t (x).
i.e.
g ∝ t
g = k × t
k = g / t
as
g = 2
t = 5
Thus,
k = g / t
= 2 / 5
Thus, the constant of proportionality = k = 2/5