Solve the system of linear equations

In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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Answer:

the relation is a function since one input provides us with only one output

outputs are the range since we know that range is the set of all possible outcomes

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Time cross-sectional data is data collected from a sample of subjects at a single point in time.

This data can be used to measure the characteristics of a population at a given point in time. For example, a population can be surveyed to measure the percentage of people who own a car, the median age of the population, or the percentage of people who have a college education.

Time series data is data collected from the same sample of subjects over a period of time. This data can be used to measure the changes in a population over time. For example, a population can be surveyed to measure the percentage of people who own a car over a five-year period, the median age of the population over the same five-year period, or the percentage of people who have a college education over the same five-year period.

Time controlled data is data collected from the same sample of subjects at different points in time but with a controlled variable. For example, a survey can be conducted to measure the percentage of people who own a car at the start of the school year, the median age of the population at the start of the school year, and the percentage of people who have a college education at the start of the school year in different cities.

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Answer:

quadrant 2

Step-by-step explanation:

Answer:

8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?

Step-by-step explanation:

8 /27

is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions :

Find the GCD (or HCF) of numerator and denominator

GCD of 8 and 27 is 1

Divide both the numerator and denominator by the GCD

8 ÷ 1

27 ÷ 1

Reduced fraction:  

8 /27

Therefore, 8/27 simplified to lowest terms is 8/27.

Answer:

-8/27

Step-by-step explanation:

Answer:

We can eliminate the second and third options because marking something up doesn't result in a number less than the original. Since we are told to select 3 options and there are 3 answer choices left we select the first, fourth, and fifth statements.

Recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Adding these together gives

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :

7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)

7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)

7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)

Answer:

D is correct because its the only graph that displays the first set of data correctly.

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer:

I believe the answer is w=6g-40.

Answer:

g= 1 /6 w +  20/ 3

Step-by-step explanation:

Given :

The number of votes to win is at least 225 votes

three-fourths of the seventh-grade students voted for him and he won.

Let the number of students = x

So, the inequality will be:

Solve the inequality :

Multiply both sides by 4/3

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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As given by the question

There are given that the roots: 7 and 2/5.

Now,

Since the roots are integers, we can write the equation in the given form using a = 1.

Then,

b is the opposite of the sum of the roots

So,

And

c is the products of the roots

So,

Now,

The desired quadratic equation is:

Hence, the correct option is A.

Answer:

does it give you multiple choice questions??

Answer:

Step-by-step explanation:

Answer:

x=5,1

Step-by-step explanation:

have a great day and thx for your inquiry :)

Answer: x = 5, 1

Step-by-step explanation:

Take the root of both sides and solve

Answer:

x - 6 = 0

Step-by-step explanation:

x - 6 = ?

If x = 6, then

6 - 6 = 0

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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The structure of the poem conveys the central idea as it mimics the movement of a winter day.

A central idea simply means the main idea in a literary work. It is the underlying message in the story.

Here, the structure of the poem conveys the central idea as it mimics the movement of a winter day. The length and sound mimic the howling nature of wind.

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Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

Apply the distributive property.

6(5x) + 6(-3)

30x + - 18

Answer:

30x - 18 is your final answer

Answer:

31.25

Step-by-step explanation:

Divide 250 by 8=31.25

Answer:

Answer:

\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \)

by using Pythagoras law:

h²=p²+b²

x²=9²+12²

x=√225=15unit

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

Being very quiet

C is the answer

Step-by-step explanation:

The meaning of the simile “as quiet as a mouse” is being very quiet.

A comparison using “like” or “as.” Simile Examples: She was as smart as an owl. The student was as quiet as a mouse.

Given that, a paragraph, It was very early Saturday morning when I woke up. I tiptoed around the house as quiet as a mouse. I tried not to wake up my family.

Our sentence is as quiet as a mouse.

Here, a comparison is shown, that is the person is very quiet as the mouse,

Meaning for this will be the person is very quiet just like a mouse.

Hence, the meaning of the simile “as quiet as a mouse” is being very quiet.

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Answer: g=4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The diameter of the engine cylinder is written in the form

|d - 5| ≤ 0.005

To represent the diameter of an engine cylinder with a tolerance of ±0.005 cm and a desired width of 5 cm, we can use an absolute value inequality.

The absolute value inequality representing the permissible limit of variation can be written as:

|d - 5| ≤ 0.005

where:

d represents the diameter of the engine cylinder.

In this inequality, the absolute value of the difference between the diameter (d) and the desired width (5 cm) must be less than or equal to the given tolerance of ±0.005 cm.

This means that the diameter of the engine cylinder can vary within ±0.005 cm of the desired width of 5 cm.

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The stock price according to the constant growth dividend model is $71.57.

What is percent?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%

We can use the constant growth dividend model to calculate the stock price:

Next Dividend / (Required Rate of Return - Growth Rate) Stock Price

Since the problem only provides the last dividend, we need to calculate the next dividend first. We can use the growth rate to find the next dividend:

Next Dividend = Last Dividend × (1 + Growth Rate) = $5.95 × (1+0.0314) = $6.14

Stock Price $6.14 / (0.1188 -0.0314) $71.57

Therefore, the stock price according to the

constant growth dividend model is $71.57.

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