The diameter of a circle is 16 kilometers. What is the angle measure of an arc 7л kilometers long?
l=7л km
d=16 km
Give the exact answer in simplest form.
Answers
Answer:
Step-by-step explanation:
answer= 157.5
Solution
radius of circle= π= 8km
arc length t=7π
angle o=?
arc length= t=π 0
7π=80
0=7π/8
0= 157.5
Hope this helps!!
Related Questions
(L5) Given: ΔABC with AC>AB;BD¯ is drawn so that AD¯≅AB¯Prove: m∠ABC>m∠C
Answers
Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.
To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.
Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.
Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.
Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.
Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.
In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.
learn more about congruence here: brainly.com/question/27922830
#SPJ11
Solve the differential equation y'=1-y^2 Solve for y and explain your answer. Also state the equilibrium and nonequilibrium solutions.
Answers
y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.
EQUILIBRIUM AND NON-EQUILIBRIUMThe general solution to the differential equation y' = 1 - y² is:y(x) = tan(x + C)
Where C is an arbitrary constant of integration.
The equilibrium solutions are the values of y that make y' = 0, which occur when y² = 1. Thus, the equilibrium solutions are y = 1 and y = -1.The non-equilibrium solutions are the values of y that make y' not equal to 0. So the non-equilibrium solutions are the values of y that make y² different from 1, which are values of y that are not 1 or -1.The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.
Learn more about the equilibrium and nonequilibrium here:
https://brainly.com/question/15231478
#SPJ4
when integrating , we can use the substitution . what will the resulting integral be after the substitution?
Answers
When we substitute in integration, the resulting integral will be in terms of the new variable introduced by substitution.
To understand about substitution in integration we need to have a clear idea about
Integration is a process of calculating the integral of a function. The integral of a function is the area under the curve of that function. There are various methods to integrate a function. Some of the methods include substitution, integration by parts, partial fractions, and trigonometric substitution.
Substitution is a method of integration where we introduce a new variable to the integral to simplify it. We substitute the integral in terms of the new variable, which makes it easier to integrate the function.
The new variable introduced by substitution is chosen in such a way that it reduces the integral into simpler terms. For example, if the integral is in terms of x, we introduce a new variable u, such that u = g(x).
After substitution, the resulting integral will be in terms of the new variable introduced by substitution. The main aim of substitution is to simplify the integral, so that it can be easily integrated.
Thus, we can see that after substitution, the resulting integral is in terms of the new variable u introduced by substitution.
Learn more about integrate using substitution : https://brainly.com/question/22401167
#SPJ11
Out of 83 children, 39 are boys and 55 have been
vaccinated. If 27 of the boys have been vaccinated,
find the number
of girls that have not been
vaccinated. (b) show the information in a Venn
diagram.
Answers
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answers
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
HELP
Graph the system of equations.
f(x)=x^2+x−2
g(x)=−x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
A. An ordered pair that is a solution to the system of equations lies in Quadrant II.
B. An ordered pair that is a solution to the system of equations lies in Quadrant III.
C. The x-coordinate of a solution to the system of equations is −3.
D. The x-coordinate of a solution to the system of equation is 2.
E. The y-coordinate of a solution to the system of equations is 4.
F. An ordered pair that is a solution to the system of equations lies on the x-axis.
Answers
Answer:
An ordered pair that is the solution to the system of equations lies on the y-axis.
The y-coordinate of a solution to the system of equations is 4.
EXPLANATION
The given system has equations:
We equate both equations to get:
This implies that,
When x=0, y=-(0)+4=4
When x=-3, y=-(-3)+4=7
The solutions are: (0,4) and (-3,7)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
what is 2 2/5 divided by 1/3
Answers
Answer:
0.2 in decimal form
Step-by-step explanation:
2/5 ÷ 2 = 2/10 as simplified as 1/5 in fraction form. 2/5 ÷ 2 = 0.2
if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%). radio button unchecked false radio button unchecked true submit
Answers
The given statement "if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%)" is false.
The probability that a sample mean is equal to the population mean is actually zero, since any given sample will differ slightly from the population mean due to sampling error. However, as the sample size increases, the sample mean is likely to be close to the population mean, and the probability of it being equal approaches 1 (i.e., 100%).
To explain further, the population mean is the mean of the entire population and is calculated by adding up all the values of the population and dividing them by the total number of individuals in the population. A sample mean, on the other hand, is the mean of a sample taken from the population and can be calculated by adding up the values of the sample and dividing them by the total number of individuals in the sample. Since the sample size is usually smaller than the population size, the sample mean is likely to be slightly different from the population mean due to sampling error.
For more such questions on Probability.
https://brainly.com/question/30653447#
#SPJ11
Find the measure of A if Bis 38 100° B. A
Answers
Let f(x) = x + 2, and g(x) = 1/xFind g(f(x))
Answers
The expression g(f(x)) means that we have to include the funcion f(x) inside g(x).
The given functions are
\(\begin{gathered} f(x)=x+2 \\ g(x)=\frac{1}{x} \end{gathered}\)Then, we find g(f(x)).
\(g(f(x))=\frac{1}{x+2}\)Therefore, the composite function is\(g(f(x))=\frac{1}{x+2}\)If f(x) = x + 2, and g(x) = 1/x , then g(f(x)) = 1/(x+2). So, the correct answer to the given question is 1/(x+2).
Solution :
∵ f(x) = x + 2
& , g(x) = 1/x
So, the Composition of Functions is :
gof(x) = g(f(x))
⇒ g(f(x)) = g(x+2)
= 1/(x+2)
∴g(f(x)) = 1/(x+2)
Learn more about Composition of Functions at :
https://brainly.com/question/17103299
A line segment has the endpoints U(–6, –5) and V(1, 7). Find the coordinates of its midpoint M.
Answers
Answer:
chhgggggfggghghyuuyyytggfff
14. Which of the following correlation coefficients represents the strongest linear
relationship?
1) 0.78 2) 0.34 3) -0.10 4) -0.88
Answers
what are some equations
Answers
Answer:
It requires of two equations
Step-by-step explanation:
example:
2x +7y = 12
How to solve this please
Answers
The value of x, considering the proportional relationship in this problem, is given as follows:
\(x = 0.77 \times 10^{-46}\)
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The proportional relationship for this problem is given as follows:
1u - \(6.02 \times 10^{23}\)
x u - \(4.65 \times 10^{-23}\)
Applying cross multiplication, the value of x is given as follows:
\(x = \frac{4.65 \times 10^{-23}}{6.02 \times 10^{23}}\)
\(x = 0.77 \times 10^{-46}\)
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1
what is the time complexity of finding a source in a directed graph or to determine such a source does not exist if the graph is represented by its adjacency matrix?
Answers
The time complexity of finding a source in a directed graph or determining such a source does not exist if the graph is represented by its adjacency matrix is V².
If a directed graph is represented by an adjacency matrix, the following approach may be used to either discover a source inside the network or establish that there isn't one:
Create an array named inDegree and fill it with the in-degree of each graph vertex (i.e., the number of incoming edges for each vertex).Using in-degree 0, search the vertex by traversing the inDegree array. There is no one source in the network if there are several vertices with in-degree 0.If an in-degree 0 vertex is discovered, we then look to see if there is a path connecting it to every other vertex in the graph.This approach has an O(V²) time complexity, where V is the number of graph vertices. This is due to the fact that it takes O(V²) time to traverse the whole adjacency matrix in order to determine each vertex's in-degree. The next step requires traversing the inDegree array in O(V) time in order to discover a vertex with in-degree 0. In the worst scenario, it takes O(V²) time to determine if there is a path connecting this vertex to every other vertex.
Learn more about the time complexity at
https://brainly.com/question/30586662
#SPJ4
Re-write the following system of equations in matrix format and solve them by using Cramer's rule. z+5x= 24 3x+2z+3y=7 -x+2y=-9
Answers
The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.
The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9
To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.
Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦
Using the formula for Cramer's rule, we know that,
x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.
Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦
Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦
Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|
Dx = -18
Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦
Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|
Dy = 10
Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦
Applying the Laplace expansion along the third column,
Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|
Dz = -24
Now we have the values of D, Dx, Dy and Dz.
Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4
Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.
Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.
Learn more about Cramer's rule
brainly.com/question/30682863
#SPJ11
Please help This is due today help please ASAP
Answers
Answer:
6:05 PM
Step-by-step explanation:
Answer:
6:05 P. M.
Step-by-step explanation:
3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.
please help geometry
Answers
Answer:
Below
Step-by-step explanation:
Remember in a RIGHT triangle , cos = adj leg / hypotenuse
for this one then
cos (37) = 11/x re-arrange to
x = 11/cos 37
x = 11/ .7986 = 13.8 units
Answer:
13.77
Step-by-step explanation:
You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.
CosineThe relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(37°) = 11/x
Solving for x, we find ...
x = 11/cos(37°) ≈ 13.77
The measure of side x is 13.77 units.
solve the simultaneous linear equation 2x+5y=11, 7x+4y=2
Answers
Answer:
x = -\(\frac{34}{27}\) and y = \(\frac{73}{27}\)
Step-by-step explanation:
2x + 5y = 11
7x + 4y = 2
Let's try elimination here since we have a system of equations:
-7(2x + 5y = 11) = -14x - 35y = -77
and
2(7x + 4y = 2) = 14x + 8y = 4
The x's cancel out now so let's combine the two equations:
-35 + 8 = -27
-77 + 4 = -73
-27y = -73
y = \(\frac{73}{27}\)
Now that we have y's value, let's plug that value in for y in the other equation. You may choose whichever equation you want to solve for x but it is recommended to use the easiest one. (Since this value is complicated, it won't really matter.)
2x + 5(\(\frac{73}{27}\)) = 11
2x + \(\frac{365}{27}\) = 11
2x = -\(\frac{68}{27}\)
x = -\(\frac{34}{27}\)
To check and make sure you have the correct values, plug both values into the orginal equation and make sure the equation is true.
\({\tt{2x + 5y = 11}}\)
\({\tt{7x + 4y = 2}}\)
\( \: \: \)
\({\tt{2x = 11 - 5y}}\)
\({\tt{7x = 2 - 4y}}\)
\( \: \: \)
\({\tt{x = ( 11 - 5y ) ÷ 2}}\)
\({\tt{x = \frac{11}{2} - \frac{5}{2} y}}\)
\( \: \: \)
\({\tt{x = ( 2 - 4y ) ÷ 7}}\)
\({\tt{x = \frac{2}{7} - \frac{4}{7} y}}\)
\( \: \: \)
_____________________
\( \: \: \)
\( \: \: \: \: \: \: {\tt{ \frac{11}{2} - \frac{5}{2} y = \frac{2}{7} - \frac{4}{7} y\: \: ( \times14)}}\)
\( \: \: \: \: {\tt{77 - 35y = 4 - 8y}}\)
\({\tt{ - 35y + 8y = 4 - 77}}\)
\( \: \: \: \: \: \: \: \: \: \: \: {\tt{ - 27y = - 73}}\)
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\tt{y = \frac{73}{27} }}\)
\( \: \: \)
SUBSTITUTION\( \: \: \)
\({\tt{x = \frac{2}{7} - \frac{4}{7} \times \frac{73}{27} }}\)
\({\tt{x = - \frac{34}{27} }}\)
\( \: \: \)
Find the simplified product
8/x^3+6x*2x
Answers
For the expression [8/(x² + 6x)] × 2x the value obtained is Option B: 16/(x + 6).
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression is given as -
[8/(x² + 6x)] × 2x
Simplify the expression.
Take out the common factor in denominator -
[8/x(x + 6)] × 2x
Use the arithmetic operation of division -
[8/(x + 6)] × 2
Use the arithmetic operation of multiplication -
16/(x + 6)
Therefore, the value is obtained as 16/(x + 6).
To learn more about expression from the given link
https://brainly.com/question/24734894
#SPJ1
The population of Mussman, Maine is 13,500 and grows at an annual rate of 6.5%. How long will it take the population of Mussman, Maine to reach 27,000 residents?
Please specify the steps
Answers
The year it will take Mussman to reach a population of 27,000 resident is 10.7 years
What is population growth?Population growth is the increase in the number of people in a population or dispersed group.
We use exponential function when calculating increase in population per time
p(t) =p(o) e^kt
27000 = 13500 e^0.065t
e^0.065t = 27000/13500
0.065t = ln 2
0.065t = 0.693
t = 0.693/0.065
t = 10.7 years
therefore it will take 10.7years for the resident of Mussman to reach a population of 27000
learn more about population growth from
https://brainly.com/question/1437549
#SPJ1
______is the score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest.
Answers
The score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest is known as the median.
The median is a measure of central tendency that is calculated by arranging the data points in order from smallest to largest and then identifying the middle value.Therefore, it is the value that separates the highest from the lowest 50% of the data, making it an ideal measurement for skewed data.
The median is the value that is halfway between the upper and lower quartiles of a dataset when it is divided into four equal parts. This measurement is less sensitive to outliers and extreme values in comparison to the mean.
To know more about median visit :
https://brainly.com/question/11237736
#SPJ11
how do I compare 6.098 and 6.908
Answers
6.908 is greater than 6.098 as the second digit from the left is greater.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, are two numbers 6.098 and 6.908.
Now, starting from left both the numbers have the same digit so we can't
differentiate.
The digit after the decimal place to the first number is 0 and on the second it is 9 so definitely, the second number is greater.
∴ 6.098 < 6.908.
learn more about rounding off numbers here :
https://brainly.com/question/13391706
#SPJ1
find 45% of 78 (unit rates)?
Answers
45% of 78 = \(\frac{45}{100}*78 = 35.1\)
Hope that helps!
Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
Answers
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
Learn more about probability and independent events
brainly.com/question/3742321
#SPJ11
Please help me, I need help and if u can help with the equation that will be a huge help too!
Answers
The scale factor as a fraction in simplest form is 3.
What is the fundamental principle of multiplication?
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given square on the right is a scaled copy of the square on the left.
So 18 is being multiplied by something to get to 54
So 18*x=54
Solve for x:
x = 54÷18
x = 3
The scale factor as a fraction in simplest form is 3
Learn more about multiplications;
brainly.com/question/14059007
#SPJ1
Answer pllssssssssssssss
Answers
Answer:
30%
Step-by-step explanation:
30 blocks are shaded out of the 100
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Answers
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
Learn more about inscribed angle theorems on:
https://brainly.com/question/30494878
40. How many square feet of glass are in the window?A.2 sq ftB.4 sq ftC.16 sq ftD.18 sq ft
Answers
The problem wants us to solve for the area of the window.
As we can see the window is in the form of a SQUARE shape with a measurement of 0.25 in for 1/2 the side of the window.
Since 1/2 of the side of the window is 0.25, the full measurement of its side is just times two of its half. Therefore:
Side = 0.25(2) = 0.5 in
And we can see at the bottom of the picture the word SCALE. The SCALE shows the relationship between the measurement of something (in our case a cabin) in a model to the measurement of that something in the real life.
In our case we have a scale of 1 in = 8 ft, it means that 1 inch in the paper is actually 8 feet in real life. Therefore the side of the window which measures 0.5 in. in the paper is actually 4 feet in real life. Because 0.5 inch is half of 1 inch and 4 feet is half of 8 feet. To show it mathematically we have:
\(\text{Side}=0.5inch(\frac{8ft}{1inch})=\frac{0.5(8)ft}{1}=4ft\)Since we now have a side of 4 ft. We can now solve for the area of our SQUARE WINDOW, using the formula of the area of the sqaure which is Area = Side x Side.
\(\begin{gathered} \text{Area}=\text{Side}\times Side \\ \text{Area}=4ft\times4ft \\ \text{Area}=16ft^2 \end{gathered}\)Therefore the area of the window is 16 square feet. LETTER C.
How much interest would you pay on a $12000 loan at 5% for 6 years
Answers
Answer:
Interest=$3600
Step-by-step explanation:
I = P * r * x * t
Where:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....year(s) time periods.
So, t is 6....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:
The interest is: $3600.00
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 12000.00 + 3600.00 = 15600.00. For example:
If you borrowed the $12000.00, you would now owe $15600.00
If you loaned someone $12000.00, you would now be due $15600.00
If owned something, like a $12000.00 bond, it would be worth $15600.00 now.