Cassius Russell learned at the job interview that he would be paid an
annual salary of $24,600 as account executive. Estimate his monthly salary.

From the calculations, the total amount paid for the SUV is $43,708.

The term compound interest has to do with an interest that is charged in both the principal and the interest.

In this case, the amount that was borrowed is  $36,000 - $3000 = $33,000. Using the formula;

A = P(1 + r/n)^nt

P =  $33,000

r = 4.2%

n = 52

t = 5 years

A = 33,000(1 + 0.042/52)^(52 * 5)

A = $40,708

Total amount paid = $40,708 + $3000 = $43,708

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Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

Answer:

C

Step-by-step explanation:

Answer:

y = 2x+ 4

Step-by-step explanation:

The slope of your line given is 2 and it's y-int is 2 that makes the equation y=2x+2.

Since you want a parrallel line you want the smae slope but with a different y intercept. So the answers is y =2x +4.

By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.

From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:

1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).

2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.

3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).

4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.

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The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

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Overall, the horizontal analysis of Blanchet Corporation's balance sheet for 2019 suggests positive growth and financial stability.

There has been a significant increase in total assets from the previous year. This indicates potential growth and expansion in the company's operations.

The liabilities have also increased, but not at the same rate as the assets. This suggests that the company may have taken on additional debt or financing to support its growth.

The retained earnings have shown a positive trend, indicating that the company has been profitable and able to retain a portion of its earnings for reinvestment or future use.

The equity section has also grown, which can be attributed to the increase in retained earnings and potentially additional capital investments.

The increase in assets and retained earnings indicates the company's ability to generate profits and reinvest in its operations. However, the increase in liabilities should be carefully monitored to ensure it is manageable and sustainable in the long term.

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Answer:

Look below

Step-by-step explanation:

(i) Sharon is not correct because in the first bag, the proportion is of red counters to yellow counters.

In the second bag, the proportion is of red counters to all the counters in the bag. Therefore the proportions are not the same.

(ii) Let x be the total amount of counters (in each bag)...

Then the amount of red counters would be

\(\frac{1}{5} x\)

And the amount of yellow counters would be

\(\frac{4}{5} x\)

For the second bag, the amount of red counters would be

\(\frac{1}{4} x\)

And the amount of yellow counters would be

\(\frac{3}{4} x\)

Answer:

y=x-4

Step-by-step explanation:

The Roman numeral for the number 9 is IX.

Roman numerals are a numeral system that originated in ancient Rome and were used throughout the Roman Empire. Instead of using a base 10 system like the one we use today, Roman numerals use a combination of letters to represent numbers. The basic symbols in Roman numerals are I, V, X, L, C, D and M.

The numeral I represents the number 1, and the numeral X represents the number 10. To represent 9, we can represent 1 before 10 which is I before X.

It's important to note that Roman numerals have a strict set of rules for how to use the symbols correctly. For example, a numeral can only be repeated up to three times in a row, and numerals can only be subtracted from the next highest numeral that is at least 10 times larger.

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Answer:

4.44%

Step-by-step explanation:

%Error = \(\frac{E-T}{T}\) x 100

E = experiment

T = Theoretical

E = 86

T = 90

What is the percent error?​

We Take

\(\frac{86-90}{90}\) x 100 ≈ 4.44%

So, the percent error is about 4.44%

Answer:

x=5

Step-by-step explanation:

According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.

2x+3 = 4x-7

10 = 2x

x=5

Answer:

X=5

Step-by-step explanation:

2x+3= 4x-7

-4x      -4x

-2x +3 = - 7

-3            -3

-2x      =    -10

divide -10 by -2x

which would give you your answer X=5

Answer:

D

Step-by-step explanation:

What is the rational expression?

A rational expression is an expression of the form (p(x))/(q(x)) where p(x) and q(x) are polynomials. The expression is called a rational expression because it is the ratio of two polynomials.

A rational expression that is equal to the given expression when x doesn't equal 2 or -3 is:

5x / (x+3)

This is obtained by canceling the common factor of (x-2) in the numerator and the denominator of the original expression. Note that, this is only true when x doesn't equal 2 or -3, because the original expression is not defined when x = 2 or x = -3, as it would result in a division by zero.

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The given rational expression can be simplified by canceling out the common factor of (x-2) in the numerator and denominator, which results in the following simplified rational expression:

5/(x+3)

A rational expression is an expression of the form (p(x))/(q(x)) where p(x) and q(x) are polynomials. The expression is called a rational expression because it is the ratio of two polynomials.

A rational expression that is equal to the given expression when x doesn't equal 2 or -3 is:

5x / (x+3)

This is obtained by canceling the common factor of (x-2) in the numerator and the denominator of the original expression. Note that, this is only true when x doesn't equal 2 or -3, because the original expression is not defined when x = 2 or x = -3, as it would result in a division by zero.

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Factorial design is the correct choice for the answer as an experimental design that permits statistical conclusions about two or more factors is a factorial design.

A factorial experiment is a type of research methodology that allows the study of main and interaction effects between two or more independent variables and on one or more outcome variables.

This is called a mixed factor experiment. For example, a researcher may choose to treat mobile phone use as a factor within a subject by testing the same participant with and without mobile phone use (the order of these two conditions). Balance).

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Answer:

130°

130-67=

63÷3=

21

x=21

\(\huge\boxed{Hi!}\)

We are given 2 points that the line passes through, so we can determine its slope by using this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

However, there's a shortcut.

If you look at the two points, you will see that the x-coordinates of these 2 points are the same.

Let's plug in the numbers and see what we get:

\(\displaystyle\frac{9-5}{12-12}\)

Subtract:

\(\displaystyle\frac{4}{0}\)

Do you see what I see?

Remember, we cannot divide by zero, because division by 0 is

undefined.

Thus, the slope of the line is also undefined.

Now, is Phoebe right? Yes, sure!

The slope of the given line is undefined.

Here's something you should remember:

\(\bigstar\) If we are given 2 points, and their x-coordinates are the same, then the slope of the line is undefined.

\(\bigstar\) If we are given 2 points, and their y-coordinates are the same, then the slope of the line is 0.

Hope it helps! Enjoy your day!

~Just a determined gal

*The crown would be greatly appreciated ;)

\(\bf{erutaNtneliS\)

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

To make 40 meters long shadow, building should have 10 stories.

In arithmetic, the multiplication of two numbers represents the repeated addition of one number with respect to another. These numbers can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, then it means either m is added to itself ‘n’ number of times or vice versa.

Given,

Stories of building 24 meters long shadow  = 6

Stories making 1 meter long shadow = 6/24

Stories in building making 40 meters long shadow = 6/24 × 40

                                                         = 240 / 24

Stories in 40 meters long building = 10

Hence, 10 stories tall building will make shadow length of 40 meters.

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To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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Answer:

x+8/9

y= -1/3

Step-by-step explanation:

3x+2(-3+3x) =2

3x-6+6x =2

9x-6=2

9x=8

x= 8/9

now plug x into the y equation

y= -3 +3(8/9)

y= -3 +8/3

y= -9/3+8/3

y= -1/3

The greatest number of appointments that the doctor could have in one day is 90.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

As per the given data:

Time per appointment = 5 min to 10 min

Doctor working hours = 09:00 to 18:00 = 9 hours

Lunch break = 1 hour

Tea breaks = 15 min per break

Number of tea breaks = 2

greatest number of appointments that the doctor could have in one day:

(total working time - total breaks time) / the smallest appointment time

= (9×60 - [1×60 + 2×15]) / 5

= (540 - 90) / 5

= 450 / 5

= 90 appointments

Hence, the greatest number of appointments that the doctor could have in one day is 90.

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Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

Answer:

70 kg

Step-by-step explanation:

\(\frac{5}{8}*\frac{112}{1}kg\\\frac{5}{1}*\frac{14}{1}kg\\5 * 14kg\\70 kg\)

Decreasing 112kg by 3/8 is equal to 70kg.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To decrease 112kg by 3/8,

we can multiply 112 by 3/8 and then subtract the result from 112:

112 - (112 x 3/8)

First, we simplify 3/8 by finding a common denominator of 8:

= 3/8

= 3/8 x 8/8

= 24/64

So we have:

112 - (112 x 24/64)

To simplify this expression, we can first divide both the numerator and denominator of 24/64 by the greatest common factor, which is 8:

= 24/64

= (24 ÷ 8) / (64 ÷ 8)

= 3/8

Substituting this value, we get:

112 - (112 x 3/8)

Multiplying 112 by 3/8, we get:

= (112 x 3/8)

= (336/8)

= 42

Substituting this value, we get:

= 112 - 42

= 70

Therefore,

Decreasing 112kg by 3/8 is equal to 70kg.

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Answer:

A

Step-by-step explanation:

12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s

The average speed of the cart is: 3.5 m/s

The correct option is (A).

The average speed is the total distance traveled by the object in a particular time interval.

Given:

distance = 12.7m, time= 3.6 seconds

Average speed will be,

= Distance/time

=12.7/3.6

=3.522 m/s

Hence, the average speed is 3.522 m/s.

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a. The area of each sector is 1.7 cm^2
b. If the weight of the silver disk is 2.3 grams, the silver wedge for each earring weighs approximately 319.4 milligrams.

Answer:
a. To find the area of each sector, we need to use the formula for the area of a sector: A = (θ/360°) * π * r^2, where θ is the central angle of the sector and r is the radius of the disk.

Given that the central angle is 50° and the radius is 2 cm, we can substitute these values into the formula:
A = (50°/360°) * π * (2 cm)^2

Simplifying the calculation:
A = (5/36) * π * 4 cm^2
A ≈ 1.7 cm^2

Therefore, the area of each sector is approximately 1.7 cm^2.

b. To find the weight of the silver wedge for each earring, we need to calculate the weight per unit area.

Given that the weight of the silver disk is 2.3 grams and the area of each sector is 0.694 cm^2, we can use the formula:
Weight per unit area = Total weight / Total area

Substituting the given values:
Weight per unit area = 2.3 grams / (2 * 0.694 cm^2)

Simplifying the calculation:
Weight per unit area ≈ 0.3194 grams/cm^2

To convert grams to milligrams, we can use the conversion factor 1 gram = 1000 milligrams. Therefore, the weight per unit area in milligrams is:
Weight per unit area ≈ 0.3194 grams/cm^2 * 1000 milligrams/gram

Simplifying the calculation:
Weight per unit area ≈ 319.4 milligrams/cm^2

Therefore, the silver wedge for each earring weighs approximately 319.4 milligrams.

Complete Question:

A jeweler makes a pair of earrings by cutting two 50° sectors from a silver disk. radius of the disk is 2 cm

a. Find the area of each sector.

b. If the weight of the silver disk is 2.3 grams, how many milligrams does the silver wedge for each earring weigh?

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Answer:

15

Step-by-step explanation:

Answer:

The correct choice is option B.  3,429

Step-by-step explanation:

When rounded to the nearest hundred, 3429 becomes 3400.

Answer:

3,429 --- right answer

Answer:

The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is \(\frac{1}{2}x+16=\frac{3}{4}x-1\)

Step-by-step explanation:

Let x be the total number of burritos consumed

We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed

So, Number of burritos ate by Delainey on Tuesday=\(\frac{1}{2}x+16\)

We are also given that  Louie ate 1 less than 3/4 of the total number of burritos consumed.

So, Number of burritos ate by Louie on Wednesday =\(\frac{3}{4}x-1\)

We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.

So, \(\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x\)

Hence  the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is \(\frac{1}{2}x+16=\frac{3}{4}x-1\)