what is principal in simple intrest

Answers

Answer 1

You have to pay extra money when you pay it back after you borrow it.So interest is: the amount of money you pay back on top of the original money you borrowed. The meaning of the word principal is: the original amount of money you borrowed.

Related Questions

What fraction with a numerator of 2 is equivalent to 48?

Answers

Answer:

$\frac{2}{\frac{1}{24} }$

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

$\frac{2}{\frac{1}{24} }$ = 48

A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth in feet per month?

Answers

Answer:

2.6 inches repeating per month

Answer:

2/9

Step-by-step explanation:

The area of a triangle can be found using the formula: Area 1/2 . base. height. Find the area of the triangle pictured below, where the measurements are given in meters (m) 8 m 13 m m2

Answers

Answer:

The area of the given triangle is 52 sq meters

Explanation:

Given that the area of a triangle can be found using the formula:

Area = 1/2 base . height.

The base of the give triangle is 13m, the height is 8m.

Using these,

Area = 1/2 * 13 * 8

= 52 square meters

What is the probability of drawing a red card from a pack of cards and rolling an even number on a standard six-sided die?

Select one:

1/12

1/2

1/4

1/8

Answers

Answer:

1/2 because half the cards are red and half the numbers are even

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.1 minutes and a standard deviation of 2.0 minutes. For a randomly received emergency call, find the following probabilities.

a. between 5 and 10 min
b. less than 5 min
c. more than 10 min

Answers

Answer:

a) 0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b) 0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c) 0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 8.1 minutes and a standard deviation of 2.0 minutes.

This means that $\mu = 8.1, \sigma = 2$

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5.

X = 10

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 8.1}{2}$

$Z = 0.95$

$Z = 0.95$ has a p-value of 0.8289

X = 5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 8.1}{2}$

$Z = -1.55$

$Z = -1.55$ has a p-value of 0.0606

0.8289 - 0.0606 = 0.7683

0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which, found from item a, is of 0.0606

0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a, is of 0.8289

1 - 0.8289 = 0.1711

0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

for each parallel lines. you are given the measure of one angle

Answers

Answer:

The question is not complete

Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).

Answers

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Look at the statement below.
All right triangles are isosceles.
Which example proves this statement is false?

Answers

Answer:

Step-by-step explanation:

It is a 3-4-5 right triangle

The example Option B is False as it is a right triangle with base lengths 3 , 4 and 5

Hence , the example B is not an isosceles triangle

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

The three types of Isosceles Triangles are :

Isosceles acute triangleIsosceles right triangleIsosceles obtuse triangle

Given data ,

From the figure Triangle A
In this Triangle , the two sides are of equal length and one side is different

So , the triangle is an isosceles triangle

From the figure Triangle B

In this triangle , all the three sides are different and it is also a right angled triangle with different lengths

So , the triangle is not isosceles

From the figure Triangle C
In this Triangle , the three sides are of equal length , so it is also an isosceles triangle

So , the triangle is an isosceles triangle

From the figure Triangle D
In this Triangle , the two sides are of equal length and one side is different

So , the triangle is an isosceles triangle

Hence , the example B is not an isosceles triangle and is FALSE

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When Janelle was born, her grandmother put $200 into a college savings account for her. Each month, her grandmother adds $50 to the account. Which inequality can be used to find m, the number of months it will take for Janelle’s savings account to have more than $1,250 in savings?

Answers

it would take 21 months for her to have exactly 1250

Plz help ASAP 60 points if you answer this correctly

Answers

Answer:A=9.25

B=lisa

Step-by-step explanation:

a = 9.25
b = lisa because she makes 9.25h where john makes 8.5h so if h = 12 lisa would be making 111 while john makes 102

Plz help (x+10)(x+3) expand and simplify

Answers

(x+10)(x+3)
x^2+3x+10x+30
x^2+13x+20 *final answer*

5. Apply Math Models A science teacher uses a fair spinner
simulate choosing 1 of 5 different field trips for her classes.
spinner has 5 equal sections, each representing a different
trip. The teacher spins the spinner 50 times and records the
results in the table below.

Answers

Experimental and theoretical probabilities do not match; Field Trip B is the most popular with 32% relative frequency.

What is frequency?

Frequency refers to the number of times an event or observation occurs within a given period, sample size, or population. In the context of data analysis, frequency is often used to describe how often a particular value or category appears in a dataset or sample. It can be expressed as an absolute frequency (the actual number of times an event occurred) or a relative frequency (the proportion or percentage of times an event occurred compared to the total number of observations).

The experimental probability of selecting each field trip can be calculated by dividing the number of times each trip was selected by the total number of spins. For example, the experimental probability of selecting Field Trip A is 8/50 = 0.16 or 16%, the experimental probability of selecting Field Trip B is 16/50 = 0.32 or 32%, and so on.

The theoretical probability of selecting each field trip is 1/5 or 0.2 or 20%. This is because the spinner has 5 equal sections, and each section represents a different trip.

The experimental and theoretical probabilities do not match exactly. For example, the experimental of selecting Field Trip B is 0.32 or 32%, while the theoretical probability is only 0.2 or 20%. This could be due to chance or random variation, as the teacher only spun the spinner 50 times. With a larger sample size, the experimental and theoretical probabilities should converge closer to each other.

The relative frequency of selecting each field trip can be calculated by dividing the number of times each trip was selected by the total number of spins, and then multiplying by 100 to express it as a percentage. For example, the relative frequency of selecting Field Trip A is (8/50) x 100 = 16%, the relative frequency of selecting Field Trip B is (16/50) x 100 = 32%, and so on.

Based on the data, Field Trip B appears to be the most popular, as it was selected the most number of times (16 times out of 50 spins).

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Commplete Question:

A science teacher uses a fair spinner to simulate choosing one of five different field trips for her classes. The spinner has 5 equal sections, each representing a different trip. The teacher spins the spinner 50 times and records the results in the table below:

Field Trip Number of times selected

A 8

B 16

C 9

D 12

E 5

Apply math models to analyze the data and answer the following questions:

What is the experimental probability of selecting each field trip?

What is the theoretical probability of selecting each field trip?

Do the experimental and theoretical probabilities match? If not, what could be the reason for the difference?

What is the relative frequency of selecting each field trip?

Based on the data, which field trip appears to be the most popular?

the manager of a bank record of the amount of each Time customer spent waiting in the line during peak business hours on Monday the waiting times are shown below find the mean waiting time Roger answer to one Decimal place 6.8 min 7.5 min 7.2 min brainly

Answers

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

Find the surface area of the composite figure.
20 in.
11 in.
5 in.
I
I
19 in
12 in.
12 in.
SA
=
11 in.
5 in.
20 in.
[?] in.2

Answers

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?

Answers

Answer:

70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Scale factor

Each inch represents 10 feet, so 7 inches will represent ...

7 × 10 ft = 70 ft

The gym is 70 ft wide.

Additional comment

You can also write and solve an equation that shows the measures are proportional:

actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Births in Vietnam: In Vietnam, the probability of a baby being a boy is 0.526 (based on the
data available at this writing). For a family having four children, find the following.
a. The probability that the first child is a girl.
b. The probability that all four children are girls.
c. The probability that all four children are boys.
d. The probability that at least one of the children is a girl

Answers

In Vietnam, the probability of a baby being a boy is 0.526, Then the

(a) The probability that the first child is a girl P(G) = 0.474

(b) The probability that all four children are girls P(all Girls) = 0.05

(d) The probability that at least one of the children is a girl P(at least one girl) = 0.924

Based on the given conditions,

In Vietnam, the probability of a baby being a boy is 0.526

For a family having four children,

So,

(a) The probability that the first child is a girl.

P(B) = 0.526

The probability of having a boy is given in the problem, and we can take the complement to find the probability of having a girl because if the baby is not a boy, it must be a girl.

We can write,

P(G) = 1 - 0.526

P(G) = 0.474

Then,

The probability that the first child is a girl P(G) = 0.474

(b) The probability that all four children are girls

P(all Girls) = $(0.474)^{4}$

Calculate the probability that all the children are girls using the Multiplication Rule, which for independent events lets us raise the probability of one event to a power n to find the probability of only that event happening n times in a row.

P(all Girls) = 0.05

Then,

The probability that all four children are girls P(all Girls) = 0.05

P(all Boys) = $(0.526)^{4}$

Calculate the probability that all the children are boys using the Multiplication Rule, which for independent events lets us raise the probability of one event to a power n to find the probability of only that event happening n times in a row.

P(all Boys) = 0.076

Then,

The probability that all four children are girls P(all Boys) = 0.076

(d) The probability that at least one of the children is a girl

P(at least one girl) = 1 - 0.076

Take the complement of the probability they are all boys to get the probability of at least one girl.

P(at least one girl) = 0.924

Then,

The probability that at least one of the children is a girl P(at least one girl) = 0.924

Therefore,

(a) The probability that the first child is a girl P(G) = 0.474

(b) The probability that all four children are girls P(all Girls) = 0.05

(d) The probability that at least one of the children is a girl P(at least one girl) = 0.924

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When Patricia finished the next level of her video game, she lost 75

points for taking too long and lost 80 points for each of the five targets

she missed. Write the total change to her score as an integer

A A

label required

Answers

Answer:

She lost 475 points

Step-by-step explanation:

Given:

Lost point in next level = 75

Number of target = 5

Lost point in each target = 80

Find:

Total changes

Computation:

Total lost points = Lost point in next level + [Number of target][Lost point in each target]

Total lost points = 75 + [5][80]

Total lost points = 75 + 400

Total lost points = 475 point

what is 2+1 this will get you points.

Answers

Answer:

╭━━━╮

┃╭━╮┃

╰╯╭╯┃

╭╮╰╮┃

┃╰━╯┃

╰━━━╯

Step-by-step explanation:

In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.

Answers

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

Answers

Answer:

16+25=41

hope it helps.

Answer:

Step-by-step explanation:

Solve and graph
3x + 9 < 30

Answers

Answer: X<7

Step-by-step explanation:

3x+9<30

-9 -9

3x<21

/3 /3

X<7

Parallel lines

Answers

Answer:

K & M

Step-by-step explanation:

K & M are parallel lines because they are straight and they can't touch each other.

Hope this helped!

f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?

Answers

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Help for Pre Calc please

Answers

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

$f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}$; f^(-1)(x) is not a function.

How to obtain the inverse function?

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

$y = \pm \sqrt[4]{\frac{x}{4}}$

$f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}$

$f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}$

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:

Answers

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

PLEASE HELP ASAP!!!
I'd really appreciate the help, thanks in advance.

The questions below can be solved using the relation between angular size, physical size and distance. For the questions below, provide a complete solution with explanation.

1. Find the Sun's diameter. The sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. What is the sun's approximate physical diameter? Compare your answer to the actual value of 1 390 000 km.

2. Find a Star's Diameter. The supergiant star Betelgeuse (in the constellation Orion) has a measured angular diameter of 0.040 arcsecond from Earth and a distance from Earth of 720 light-years. What is the actual diameter of Betelgeuse? Compare your answer to the size of our Sun and the Earth-Sun distance.

Answers

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

How to calculate the diameter?

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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What’s one of the goals set out by the Healthy People 2010 program?:

a)

Ensuring that complaints against unfair billing are addressed

b)

Ensuring that private hospitals accept payment from any health insurance company

c)

Encouraging all employers to provide health insurance to their employees

d)

Eliminating the difference between the healthcare available to low and high income persons

Answers

Answer:

d i did the thing

Step-by-step explanation:

In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.

Answers

Answer:

no possible triangles

Step-by-step explanation:

just turn it in blank on delta

E Percent Equation Practice P5(A)-2135-7-MATH / Percent Equations - Commission & Original Amount 2. Braln sells wholesale computer parts at a commission rate of 4%. What was hls Income last month if his total sales were $82,968.00?

Answers

To find the income last month we can use the rule of three.

$\begin{gathered} 82968\rightarrow100 \\ x\rightarrow4 \end{gathered}$

Then

$x=\frac{4\cdot82968}{100}=\frac{331872}{100}=3318.72$

Therefore the income was $3318.72.

Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”

Answers

The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

What are the coordinates of the final point?

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

what is principal in simple intrest​

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what is principal in simple intrest