After a person gets a 2% raise in salary, the new salary is $11874. What was the original salary?

Answer:

137.54

Step-by-step explanation:

The area of the figure is the total area of the right triangle (on the left) and the rectangle (on the right)

Area of the right triangle = 1/2(9.2)(6.9) = 31.74

Are of the rectangle = (9.2)(11.5) = 105.8

The total area = 31.74 + 105.8 = 137.54

I hop this helps

[tex]y-y_{1} = m (x-x_{1})[/tex]

is the linear equation format for point slope here

(-1, 0) would lie on the line

Answer: 24 ==> B

Step-by-step explanation:

3*3^2+8/2 -(4+3)=

3*9+4-7=

27-3=24 ==> B

He gained $330 of interest in the three months.

Here we will use the Simple interest formula

Simple Interest (SI) = Simple Interest (SI)

initial principal balance = P = 24000

annual interest rate = r = 5.5

time (in years) = t = 3 months out of 1 year

                            = 3/12 = 1/4

Lets substitute the values in the formula

Simple Interest (SI) = (P × R × T)/100

                                = (24000 × 5.5 × 1/4)/100

                                = 330

Simple interest is a quick and straightforward approach to figure out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.

Any bank where we deposit money pays us interest on the amount when we do so. There are other forms of interest charged by banks, but simple interest is one of them. To begin with, let's define a loan before delving further into the idea of simple interest.

Learn more about Simple interest

https://brainly.com/question/25793394

#SPJ9

The probability of getting yellow marbles is 0.23.

Probability is the measure of the likelihood that an event will occur in a Random Experiment.

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Total marbles= 100

blue marbles = 21

green marbles= 19

red marbles = 37

yellow marbles= 23

So, the probability of randomly selecting a yellow marble

= 23/100

= 0.23

Hence, the probability of randomly selecting a yellow marble is 0.23.

Learn more about probability here:

https://brainly.com/question/12629667

#SPJ1

Answer:

The third one from the left

Step-by-step explanation:

The ordered pairs that solve the system of inequalities is given by:

(3, -2), (1, -1).

To verify if an ordered pair solves a system of inequalities, we have to verify if it respects all conditions.

For this problem, the conditions are given as follows:

For the ordered pair (0,3), we have that:

x - 3y  = -9 < 1, hence it does not respect.

For the ordered pair (-1,1), we have that:

-1 -3 = -4 < 1, hence it does not respect.

For the ordered pair (3,-2), we have that:

For the ordered pair (4,0), we have that:

For the ordered pair (2,3), we have that:

2 - 3(3) = -7 < 1, hence it does not respect.

For the ordered pair (1,-1), we have that:

More can be learned about inequalities at https://brainly.com/question/24372553

#SPJ1

Answer:

The sale price is 59.40$

Step-by-step explanation:

Divide 99$ by 100, then multiply it by 60 because that's how much of that original price is left

brainliest pls have a good day

0.925 as a percentage is 92.5 and as a simplified fraction is 37/ 40, that is, option A.

Here, we are given a decimal number- 0.925

we can write the number as follows-

0.925 = 925/1000

dividing both the numerator and denominator by 25 we get-

37/40

Thus, the number 0.925 as a simplified fraction comes out to be 37/ 40.

Now, we need to convert it into percentage form. Per cent simply means the value of a number per 100.

We can simply multiply 925/ 1000 by 100 to get the percent value as follows-

925/ 1000 × 100

= 925/ 10

= 92.5

Thus, 0.925 as a percentage is 92.5%.

Hence, option A, is the correct option.

Learn more about decimals here-

https://brainly.com/question/1806262

#SPJ9

Answer: t<=-4 ==> -12, -5, -8, -4, -7

Step-by-step explanation:

t/4<=-1

t/4 * 4<=-1*4

t*4/4<=-4

4t/4<=-4

t<=-4 ==> -12, -5, -8, -4, -7

Answer:

-4,-5,-7,-8, and -12

Step-by-step explanation:

[tex]\frac{t}{4} \leq -1[/tex]
[tex]t\leq -4[/tex]

Therefore t has to be less than or equal to -4
So in the values provided, x can be -4,-5,-7,-8, and -12

The equivalent inequality would be [tex]t\leq -4[/tex].

If this was helpful pls give me brainliest <3

Answer: -4/15 (x - 15)

Step-by-step explanation: Got it from quick math

Answer:

Given: Ø = 51°

opposite = 15

Find: sin Ø =

It doesn't matter what else you throw into the picture,

if Ø = 51° then sin Ø always equals 0.7771

The measure of side n is √(m^2 - 64).

According to the given question.

We have a right angle triangle.

Here, we have to find the measure n.

Since, the given triangle is divided into two right angle triangles.

Now in the right angled triangle with the side measure m, n and 8.

By the Pythagoras theorem we can say that

m^2 = 8^2 + n^2

⇒ m^2 = 64 + n^2

⇒ m^2 -64 = n^2 ...(i)

⇒ n = √(m^2 - 64)

Hence, the measure of side n is √(m^2 - 64).

Find out more information about measure here:

https://brainly.com/question/14360843

#SPJ1

Answer:

Step-by-step explanation:

AnAnAn

Answer:

1/20 are the chances to find the specific marble

Step-by-step explanation:

if he randomly gets 3 out of the 20 marbles then the chances are not high

I hope that helped u

The inequality for a child up to and including 26 lb is the third option showing correct number line of inequality.

Given that the inequality is 0<x<=26.

We are required to choose the option which shows the correct number line of inequality.

Inequality is like an equation which shows the relationship between two or more variables but in greater than,less than,greater than or equal to ,less than or equal to signs.

Because we have to include 26 in the inequality so we need to fill the circle on 26. So, the correct option showing the correct inequality is third.

Hence the inequality for a child up to and including 26 lb is the third option showing number line of inequality.

Learn more about inequality at https://brainly.com/question/11613554

#SPJ9

The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.

Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.

We have given information that

Shadow of tree = 523 inch

Shadow of human = 180 inch

Height of human = 64 inch

height of tree = x

Lets solve this with cross multiplication

⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]

⇒ 180 × x = 64 × 523

⇒ x = (64 × 523)/180

⇒ x = 185.95

       = 186 approx.

Learn more about cross multiplication

https://brainly.com/question/17211345

#SPJ9

Answer:

Hello,

Step-by-step explanation:

[tex]9x^3+2x-4=(3x-2)*(3x^2+2x+2) \\Remainder\ is\ 0\\\\if\ x \neq \dfrac{2}{3} \\\\\dfrac{9x^3+2x-4}{3x-2}=\dfrac{(3x-2)*(3x^2+2x+2) }{3x-2} =3x^2+2x+2[/tex]

Step-by-step explanation:

[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]

Coefficient of x is 3

It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.

[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]

[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]

Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements

The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).

The inverse of a function f is denoted by f-¹ and it exists only when f is both one-one and onto function. An inverse function in mathematics is function which "reverses" the another function.

For example, If function f which is applied to input a gives result b and then applying inverse of the function g to b, it gives result a and vice versa.

It can be written as:

f(a) = b if and only if g(b) = a or, f⁻¹ (b) = a

In order to calculate the inverse of function f(x) = (x + 2)/x just simply swap the x and y, and solve the resulting equation for the x.

So, we have f(x) = (x + 2)/x, swap the variable x by y, we get

f(x) = (y + 2)/y ............(1)

Now, solving the above equation x = y+2/y for y.

⇒y = 2/(x-1)

∴ The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).

Learn more in depth about the inverse function at https://brainly.com/question/14391067

#SPJ9

The Arithmetic means will be inserted between 1 and 36 such that the

sum of the resultant arithmetic progression will be 148 is 8.

The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.

We'd arrive along all a few key words in AP, which were denoted as:

The AP can also be defined in terms of common distinctions, as illustrated below.

Now, for the stated question;

Assume the first term is'a₁' = 1.

The last term of the series that is nth term is 'a₃₆'.

The sum of all digits between 1 and 36 is given as 148.

Thus, Sn = 148

Substitute the value in the sum formula.

Sn = (n/2)×(a₁ + a₃₆)

148 = (n/2)×(1 + 36)

148 = (n/2)×(37)

n = (148×2)/37

n = 8.

Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.

More information on the arithmetic sequence can be found here.

brainly.com/question/6561461

#SPJ9

Answer:

it should be 7 minutes not sure because i got a slightly different answer but still gonna try

Step-by-step explanation:

1.70+26 = 1.96

1.96x7 = 13.72

Answer:

It is the 60 simplified

Hope I've helped

One way to reduce the risk of fraudulent activity is to assign two persons to check the inventory.

Accounting principles lay out the basic guidelines and ideas and create the foundation upon which specific accounting standards are built.

Inventory-related accounting principles and procedures might be applied unethically. For instance, many teachers in my field who are required to gather and check-in inventory do so while keeping the inventory for themselves. Having two persons check off the inventory is one method to lower the risk.

Accounting fraud is the illegal modification of a company's financial statements in an effort to hide earnings or losses or to manipulate the company's appearance of health. Accounting fraud can be committed in a variety of ways, including overstating revenue, failing to record expenses, and misrepresenting assets and liabilities.

Learn more about accounting principles here:

https://brainly.com/question/27925688

#SPJ9

The complete question is mentioned below:

Inventory accounting can often be used for unethical or fraudulent behavior. discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place. be as detailed as possible, and if appropriate, include a personal experience you have encountered. next, discuss at least one way to reduce the risk of fraudulent practices such as this from taking place in a business.

Answer:

2.1 x 10^8 compared to 1.9 ×10^6 is 110.53 times greater.

Answer:

Step-by-step explanation:

About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6

We need to know about radical form of a number to solve the question. The simplified version of 2[tex]\sqrt{243}[/tex]x is 18[tex]\sqrt{3}[/tex]x.

Radical form of a number is the simplified version of the number where there is no square root or third root or fourth left of the number.If there is a square root of a number present then we have to simplify it and break it down to a square root from where no other natural number root can be found.In this question we have a number 2[tex]\sqrt{243}[/tex]x, we have to simplify [tex]\sqrt{243}[/tex] so we get the radical form of the number and we assume that x>=0. We can write 243 as 9x9x3, so we can see that for the square root of 243 we can write 9[tex]\sqrt{3}[/tex]. So the number 2[tex]\sqrt{243}[/tex]x can be written as 2x9[tex]\sqrt{3}[/tex]x=18[tex]\sqrt{3}[/tex]x.

Therefore we got the radical form of 2[tex]\sqrt{243}[/tex]x to be 18[tex]\sqrt{3}[/tex]x.

Learn more about radical form from here:

https://brainly.com/question/21475717

#SPJ9

The range of the numbers from the data set is 25

From the information, the five number summary of a dataset was found to be 45, 50, 57, 65, 70.

It should be noted that range is the difference between the highest and the lowest number.

Highest number = 70

Lowest number = 45

Range = 70 - 45 = 25

Learn more about dataset on:

brainly.com/question/24309209

#SPJ1

The five number summary of a dataset was found to be:

45, 50, 57, 65, 70

Find the range.