Answer:
x = 10
Step-by-step explanation:
from the figure the two added angles are 90°, we solve with an equation
5x + 4 + 3x + 6 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 80 : 8
x = 10
---------------------------
check5 x 10 + 4 + 3 x 10 + 6 = 90
90 = 90
the answer is good
Mark fires 500 arrows at a target on 457 occasions. Use this information to estimate the probability that he will hit the target with every shot when he fires:
A. 1 arrow
B. 2 arrows
C. 3 arrows
The probability that Mark would hit the target with every shot when he fires 1 arrow is 0. 914 arrows.
The probability that Mark would hit the target with every shot when he fires 2 arrows is 1. 8 arrows
The probability that Mark would hit the target with every shot when he fires 3 arrows is 2. 7 arrows
How to find the probability ?To find the probability that Mark is able to hit the target, look at the probability from when 500 arrows were fired :
= 457 / 500
= 0. 914
= 91. 4 %
If Mark fires 1 arrow, the probability that he hits the target is 0. 914 arrows:
If Mark fires 2 arrows, the probability that he will hit the target is 1. 828 arrows:
= 0. 914 x 2
= 1. 828
If Mark fires 3 arrows, the probability that he will hit the target is 2. 7 arrows:
= 0. 914 x 3
= 2. 7 arrows
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What is an equation of the line that passes through the points (3, 3) and
(3, -3)?
Answer:
X = 3
Step-by-step explanation:
this is a vertical line passing through x = 3.
go on a 4-day vacation and bring $84 for spending money. You spend $16 each of the first 3 days. Write a linear function that describes the amount of money, a, that you have after d days. On the last day, you want to buy a sweatshirt that costs $38. Do you have enough money to buy the sweatshirt?
The linear function is a = -16d + 84
You do not have enough money to buy the sweatshirt.
How to write a linear function that describes the amount of money, a, that you have after d days?
The general form of a linear function is y = mx + b
where m is the rate of spending and b is the starting money
Given that: you go on a 4-day vacation and bring $84 for spending money. You spend $16 each of the first 3 days.
m = -16 (negative because spending means decrement), b = 84, y = a (amount of money left) and x = d (days).
Thus, the linear function will be:
a = -16d + 84
On the last day, d = 4. Thus, the amount left will be:
a = -16d + 84
a = -16(4) +84
a = -64 + 84
a = $20
The amount left is $20 (which is less than $38). Therefore, you do not have enough money to buy the sweatshirt.
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Really need answer. I have 1 more try
The correct value of the expression is, 10.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 5/8 × 16
Now,
Simplify the expression as;
⇒ 5/8 × 16
⇒ 5 × 2
⇒ 10
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Kimberley is taking part in a race. For the first 160 m she runs at 4 m/s. The remaining 420 m of the race takes her 120 seconds. What is Kimberley's average speed, in m/s, over the whole race? If your answer is a decimal, give it to 2 d.p.
171 people used the public swimming pool. The daily prices are 1.50 for children and 2.50 for adults. The receipts for admission totaled 321.50 How many children and how many adults swam at the public pool that day? I need this done fast because I have a big test coming up and this is the only question I'm having trouble with its and i have to send this review in by 12:00 tonight
Answer:
65 Adults and 106 children
Step-by-step explanation
a= adults
c= children
2.5a+1.5(171-a) =321.5
a=65
now we have the number of adults we minus that by the amount of people (171) to give us for the number of children and we get 106.
20. Choose the correct solution graph for the inequality. (1 point)
-6x > 42
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1 2
The solution is Option D.
The inequality equation is x < -7
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
-6x > 42 be equation (1)
On simplifying the equation , we get
Divide by -1 on both sides of the equation , we get
6x < -42
Divide by 6 on both sides of the equation , we get
x < -42/6
On further simplification , we get
x < -7
So , the values of x are all integers which are less than -7 but not including -7
So , the values of x are = { -8 , -9 , -10 , ..... }
Therefore , the values of x are integers less than -7
Hence , the inequality equations is x < -7
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Samantha begins biking at 12 mph from the center of town towards the ocean at 12:00 noon. Later that day, at 1:15 pm, Anthony begins biking along the same route as Samantha at 15 mph. How many miles will Samantha have covered when Anthony catches her
The total number of miles will Samantha have covered when Anthony catches her is 75 miles.
A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
The distance that Samantha covers before Anthony starts = Rate * Time
So, 12 * (1 + 1/4)hrs =12 * (1.25) = 15 miles
And each hour the distance that he closes on Samantha = 15 - 12 = 3 miles
Thus, the time it will take to catch her =
Distance Samantha is ahead / Distance Anthony closes per hour = 15/3 = 5 hours
Thus, the total number of miles will Samantha have covered when Anthony catches her is 15*5 = 75 miles.
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Samantha have covered the distance of 15 miles when Anthony catches her.
Here we have given that Samantha begins biking at 12 mph from the center of town towards the ocean at 12:00 noon.
Here we also know that later that day, at 1:15 pm, the person called Anthony begins biking along the same route as Samantha at 15 mph.
Here we have to note that the distance that Samantha covers before Anthony starts,
Then it can be written as,
=> Rate * Time
When we apply the values on it, then we get
=> 12 * (1 + 1/4) hours
When we simplify this one then we get
=> 12 * (1.25) = 15 miles
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the price of a new pair of headphones is 128.50 of the 15% off what is the sale price of the headphones
Answer:
$109.23
Step-by-step explanation:
Discount = 128.5 × 15/100
Discount = 128.5 x 0.15
You save = $19.28
Final Price = Original Price - Discount
Final Price = 128.5 - 19.275
Final Price = $109.23
Mrs. Wicklund sets a lawn sprinkler to cover part of a circular region. The central angle and radius for the covered part
are shown.
130⁰
square feet
25 ft-
To the nearest 10 square feet, what is the area of the 130° part covered by the sprinkler? Enter your answer in the box.
Multiply the central angle by the radius squared, and divide by 2: Sector Area = r² × α / 2.
To the nearest 10 square feet, what is the area of the 130° part covered by the sprinkler?
Merely divide the area of the room by the number of sprinklers to get the area of coverage for each sprinkler. Shown on the left is a room that meets the spacing requirements of the small room rule—the sprinkler is 9 ft. from one wall and not more than 7.5 f.New fire codes allow a single sprinkler head to protect up to 200 square feet, depending on the design of the fire sprinkler, flammability of the building and the materials within it. The NFPA delineates spacing requirements based on the material hazards, plumbing, and piping systems of the specific construction.Equation: Static pressure – friction loss +/-- change in elevation = psi available to sprinkler.Example: You measure your static pressure at 65 psi and your total flow rate from your spigot at 10 gpm.
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Select the correct answer.
Which set of vertices forms a parallelogram?
A. A(2, 4), B(3, 3), C(6, 4), D(5, 6) B. A(-1, 1), B(2, 2), C(5, 1), D(4,1)
C. A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)
D. A(-1, 2), B(1, 3), C(5, 3), D(1, 1)
The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.
What is a parallelogram?
A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal. In a parallelogram, opposite sides are also congruent, opposite angles are also congruent and consecutive angles are supplementary.
B. A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.
In a parallelogram, opposite sides are parallel and equal in length. In this case, AB is parallel to CD and has the same length, and AD is parallel to BC and also has the same length. This means that all the conditions for a parallelogram are met and therefore, the set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.
Hence, The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.
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in an election, 52496 people voted for ron, 44929 people for jhon and 36824 people for Mike in town. if everyone one voted in the town, what is the total number of voted
Answer:
Step-by-step explanation:
52496 + 44929 + 35824 = 133,249 people
How do you find angles in 7th grade math?
In 7th-grade math, you can use methods like using a protractor, angle addition, and subtraction, angle bisectors,complementary and supplementary angles, properties of parallel lines, and using triangles to find angles:
Using a protractor: You may measure the angle directly using a protractor by aligning the protractor's baseline with one side of the angle and reading the result at the vertex.Using angle addition and subtraction: You may use angle addition and subtraction to obtain the measure of a third angle that is generated by adding or subtracting the measurements of the two supplied angles.Using angle bisectors: An angle bisector may be used to obtain the measure of an angle if you have one. A line that splits an angle into two congruent angles is known as an angle bisector.Using complementary and supplementary angles: Complementary angles total 90 degrees, whereas supplementary angles total 180 degrees. If you have knowledge about other angles in the issue, you can find the angle by using complementary and additional angles relationships.Using properties of parallel lines: Angles on parallel lines are congruent to one another. If you know that two lines are parallel, you may utilize this knowledge to calculate the angle.Using triangles: Triangle features, such as the fact that the total of the measures of the angles in a triangle equals 180 degrees, may be used to calculate the measure of an angle.Learn more about How to find angles in 7th-grade math here: https://brainly.com/question/23660857
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The nth term of a sequence is -5 + n
Work out the 40th term of the sequence.
The 40th term of the sequence is 35 if the nth term is given as -5 + n.
Given,
nth term, aₙ = - 5 + n or n - 5
For 40th term n = 40
or 40th term = a₄₀ = 40 - 5
a₄₀ = 35
Therefore, the 40th term of the sequence is 35, if the nth term is given as -5 + n.
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please help, marking brainliest
c. Seismic waves are refracted and reflected at two distinct boundaries within the Earth.
d. The mantle contains sixty-seven percent of the Earth's mass and eighty percent of its volume
e. A Dan/ish scientist studying earthquake waves generated in inner core discovered that coming P' waves directly through the Earth speed up at a depth of 5140 kilometers.
f. The mantle is composed of iron, calcium, sodium, potassium aluminum, silicon and oxygen compounds.
g. Sir Isaac Newton's explanation of force of gravity helped him determine that the rocks inside the Earth were denser than the rocks on the surface of the Earth.
h. Scientists found that the travel time of earthquake waves differ greatly from predicted travel times if the Earth were of homogenous composition.
i. The mantle lies between the crust and the core and is divided into three regions.
j. When the Earth was forming the dense materials sank into the core and the lighter materials rose toward the surface
What are seismic waves?Material suddenly moving within the Earth, such as when an earthquake causes a fault to slip, produces seismic waves.
Landslides, volcanic eruptions, explosions, and so on are instances of movement of materials which results to seismic waves
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How many number's between 1 to 1000 are not divisible by 3 or by 5 or by 7?
There are 719 integers between 1 and 1000 that are not divisible by 3, 5, or 7.
1. 1000/3 = 333.333 (333 integers divisible by 3)
2. 1000/5 = 200 (200 integers divisible by 5)
3. 1000/7 = 142.857 (142 integers divisible by 7)
4. 1000 - (333 + 200 + 142) = 325
5. 1000 - 325 = 675
6. 675 + 333 + 200 + 142 = 1350
7. 1350 - 1000 = 350
8. 350/3 = 116.667 (116 integers divisible by 3 and 5)
9. 350 - 116 = 234
10. 234/7 = 33.429 (33 integers divisible by 7 and 5)
11. 234 - 33 = 201
12. 201/5 = 40.2 (40 integers divisible by 5 and 7)
13. 201 - 40 = 161
14. 161/3 = 53.667 (53 integers divisible by 3 and 7)
15. 161 - 53 = 108
16. 108/7 = 15.429 (15 integers divisible by 3 and 5 and 7)
17. 108 - 15 = 93
18. 1000 - (333 + 200 + 142 + 116 + 33 + 40 + 53 + 15) = 719
19. 719 number's between 1 to 1000 are not divisible by 3 or by 5 or by 7
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pls solve this question (i will mark the brainliest who answer rightly)
Answer:
the first answer is 18, the second is -16, the third answer is 26, and the last is 24
Step-by-step explanation:
y varies directly as x. y=8 when x=12 Find x when y=6
Answer:
x = 9
Step-by-step explanation:
8 = 12k Divide both sides by 12
k = 2/3
6 = 2/3 x Multiply both sides by 3/2
x = 9
pls help due tomorrow!!!!!!!
All the possible values of each expression is given as an inequality as;
1 < a/b < 5
How to solve Linear Inequalities?We are given the inequalities of the domain and range as;
2 < a < 5
1 < b < 2
Thus, we can say that the maximum value of a/b will be the division of the maximum value of a by the minimum value of b to give;
(a/b)max = 5/1
(a/b)max = 5
Similarly, minimum value of a/b will be the division of the minimum value of a divide by the maximum value of b to give;
(a/b)min = 2/2
(a/b)min = 1
Thus, all possible values would be expressed as;
1 < a/b < 5
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Point N is located at -12−12. Points O and P are each 1010 units away from Point N. Where are O and P located? help
Answer:
Step-by-step explanation:
something
6x-5+x+8+2x-3=180 help I have a test tomorrow
Answer:
x=20
Step-by-step explanation:
6x-5+x+8+2x-3=180
6x+x+2x-5+8-3=180
9x=180
x=20
Answer:
x=20
Step-by-step explanation:
1. Add all like terms together.
(9x=180)
2. Then divide 9 to isolate the variable.
(x=20)
Question #1:
y
m=
b=
Line: Solid or Dashed?
Shade: Above or Below?
>
Are these points solution: (0,0)
(3,2)
(4,5)
Answer:
m = 1/3
b = 1
Dashed
Below
Step-by-step explanation:
The endpoints of LF¯¯¯¯¯¯¯ are L(-2, 3) and F(3, 1). The endpoints of JR¯¯¯¯¯¯¯ are J(1, -1) and R(2, -3). What is the approximate difference in the lengths of the two segments?
The approximate difference in the lengths of the two segments is given as follows:
3.2 units.
How to obtain the distance between two points?The coordinates of the points have the following format:
[tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex]
Hence the distance is given as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of a segment is given by the distance between it's two endpoints.
Hence the length of segment LF is given as follows:
[tex]D_{LF} = \sqrt{(3 - (-2))^2+(1 - 3)^2}[/tex]
[tex]D_{LF} = \sqrt{29}[/tex]
[tex]D_{LF} = 5.4[/tex]
The length of segment JR is given as follows:
[tex]D_{JR} = \sqrt{(-3 - (-1))^2+(2 - 1)^2}[/tex]
[tex]D_{JR} = \sqrt{5}[/tex]
[tex]D_{JR} = 2.2[/tex]
Hence the distance is of:
5.4 - 2.2 = 3.2 units.
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What is the approximate length of the radius, r? a. 4.5 cm b. 9.0 cm c. 14.2 cm d. 28.3 cm
The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.
In the given question we have to find the approximate length of the radius, r.
As given, circle O has a circumference of approximately 28.3 cm.
The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.
The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.
As we know that the formula of circumference of circle = 2πr
As circumference of circle = 28.3 cm
So 2πr = 28.3 cm
Divide by 2π on both side, we get
r = 14.15/π
π = 3.14
So r = 14.15/3.14
r = 4.51 cm
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The complete question is:
Circle O has a circumference of approximately 28.3 cm.
What is the approximate length of the radius, r?
a. 4.5 cm
b. 9.0 cm
c. 14.2 cm
d. 28.3 cm
The approximate length of the radius, r, is 4.5 cm.
The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.
Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.
Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.
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Find the foci of the ellipse with the equation x^2/49 + y^2/64=1
Using the provided equation of the ellipse as [tex]\frac {x^2}{49} + \frac {y^2}{64} = 1[/tex] and comparing with the general form, The answer is (0,+- 3.87)
What do you mean by ellipse?An ellipse is a geometric shape that is defined as the set of all points such that the sum of the distances from two fixed points (called the foci) is constant. It is a closed curve that is similar to a circle, but with a different shape. An ellipse can be defined by its semi-major and semi-minor axes, and its center. It is often used in mathematics and physics to describe the orbits of planets, moons, and other celestial bodies. The semi-major axis is the distance from the center of the ellipse to the longest point on the ellipse, and the semi-minor axis is the distance from the center of the ellipse to the shortest point on the ellipse.
What are the parameters of ellipse?The standard equation of an ellipse can be written as:
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
where (h, k) is the center of the ellipse, and a and b are the semi-major and semi-minor axes, respectively. The semi-major axis is the distance from the center of the ellipse to the longest point on the ellipse, and the semi-minor axis is the distance from the center of the ellipse to the shortest point on the ellipse. The foci (plural of focus) of an ellipse are two points located inside the ellipse that are used to define its shape.
equation provided,
[tex]\frac {x^2}{49} + \frac {y^2}{64} = 1[/tex]
[tex]64x^2+49y^2-3136 = 0[/tex] is the general form.
foci = (0,+- 3.87)
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Answer:
foci (0 +- sqrt 15)
Step-by-step explanation:
This standard form is given. We are given [tex]a^{2}[/tex] = 64 and [tex]b^{2}[/tex] = 49. We need to figure out [tex]c^{2} =a^{2} -b^{2}[/tex]. Substitute 64 for a, and 49 for b.
[tex]c^{2} =64-49[/tex]
[tex]c^{2} =15[/tex]
Take the square root of both sides to get [tex]\sqrt{c^{2} } =\sqrt{15}[/tex].
[tex]c=\sqrt{15}[/tex]
This is a horizontal ellipse, so the x-values will be 0 for each focal point.
The foci are (0, ±[tex]\sqrt{15}[/tex])
What is an equation of the line that passes through the points (5,-4) and
(-5,4)
The equation of the line will be 8x+10y=0
The equation of a line when two points are given is
y-y₁=m(x-x₁)
where,m=(y₂-y₁)/(x₂-x₁)
Here, m=(4--4)/(-5-5)
=8/-10
Now,
y-(-4) = (8/-10)(x-5)
-10y-40=8x-40
8x+10y=0
The equation is 8x+10y=0
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Snacks and more sells a 3-pound bag of mixed nuts for $15.75. Healthy snacking sells a 2.5-pound bag of mixed nuts for $13.50
The unit price at Snacks and Healthy are $5.25 and $5.4 respectively.
How to determine the unit price?Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In order to determine the unit price, we would determine the unit rate for the cost per pound bag of mixed nut by using the following mathematical expression;
Unit price = Cost of a pound bag of mixed nuts/number of nuts
Substituting the given parameters into the unit price formula, we have the following;
Unit price for Snacks = 15.75/3
Unit price for Snacks = $5.25.
Unit price for Healthy = 13.50/2.5
Unit price for Healthy = $5.4.
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Complete Question:
Snacks and more sells a 3-pound bag of mixed nuts for $15.75. Healthy snacking sells a 2.5-pound bag of mixed nuts for $13.50. What is the unit price at Snacks and Healthy?
someone please help. how would this be graphed??
Answer:
See picture
Step-by-step explanation:
how to solve exponential equation?
To solve an exponential equation, you need to find the values of the variables that make the equation true. Here are some steps you can follow:
Identify the base of the exponential function. This will usually be denoted by a letter such as "b" or "a".
Move all the terms that do not contain the exponential function to one side of the equation.
Isolate the exponential function on the other side of the equation.
Use the properties of exponential functions to simplify the equation. For example, you can use the fact that b^x * b^y = b^(x+y) when b is the same in both exponents.
Solve the equation by finding the values of the variables that make the equation true.
For example, consider the equation 3^x = 9. To solve this equation:
The base of the exponential function is 3.
Move the 9 to the right side of the equation: 3^x - 9 = 0
Isolate the exponential function on the left side: 3^x = 9
Use the property of exponential functions to simplify: 3^2 = 9
Solve for x: x = 2
The solution to the equation is x = 2.
To solve an exponential equation, you need to first identify what the base and the exponent are. The base is the number being multiplied by itself and the exponent is the number of times it is being multiplied.
Next, you will need to use the property of exponents that states that if the bases are the same, you can set the exponents equal to each other. For example, if you have the equation 3^x = 9, you can set the exponents equal to each other and solve for x by dividing both sides by 3. This gives you x = 2.
If you have an equation with different bases, you will need to use logarithms to solve it. Logarithms are the inverse of exponents, meaning that if you take the logarithm of an exponential equation, it will turn it into a linear equation that you can solve using algebra.
For example, if you have the equation 2^x = 8, you can take the logarithm of both sides to get x = (2^x) = (8). Since (2) = 0.301, and (8) = 0.903, you can solve for x by dividing both sides by (2) to get x = 3.
Overall, solving exponential equations requires a combination of understanding the properties of exponents and using logarithms to turn the equation into a form that you can solve using algebra.
How much money should you deposit in a bank so that it would accumulate to 100,000 at 1% simple interest for 10 years?
The principal money that will be deposited to accumulate 100,000 is 1 000 000 at 1% simple interest for 10 years
How to find the principal for the simple interest for 10 yearsThe principal is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = ?
rate= 1%
time = 10 years
plugging in the values
Simple interest = Principal * time * rate / 100
100 000 = P * 10 * 1 / 100
10 000 000 = P * 10
P = 1000 000
The principal is 1 000 000
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