pls solve before friday

Pls Solve Before Friday

Answers

Answer 1

The result of the given mathematical expression is 8459.46

What is Mathematical expression and decimal

Mathematical expression consist of combination of numbers along with addition, subtraction, multiplication and division.

Decimal numbers are those numbers which have an integer part and a fractional part.

Decimal can be terminating as well as non terminating.

Terminating decimals are those numbers which have finite number of digits after decimal point.

Non terminating decimals are those numbers which have infinite number of digits after decimal point.

Mathematical expression to be solved

[tex]31520 \times 0.029 \times \frac{(1+0.029)^4}{(1+0.029)^4-1}[/tex]

Decimal number is present in the above expression.

The given expression is to be simplified to get a solution

Now,

[tex]31520 \times 0.029 \times \frac{(1+0.029)^4}{(1+0.029)^4-1}\\\\31520 \times 0.029 \times \frac{(1.029)^4}{(1.029)^4-1}\\\\31520 \times 0.029 \times \frac{1.1211442633}{0.1211442633}[/tex]

8459.46

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Related Questions

A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. What is the probability that a. At most 6 of the calls involve a fax message? b. Exactly 6 of the calls involve a fax message? c. At least 6 of the calls involve a fax message? d. More than 6 of the calls involve a fax message?

Answers

Step 1

The distribution given is a binomial distribution with following data:

[tex]n=25, \quad p=0.25[/tex]

Step 2:

(a) Probability of at most 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6

[tex]\begin{aligned}& P(X \leq 6)=\sum_{x=0}^6{ }^{25} C_x(0.25)^x(1-0.25)^{25-x} \\& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(1-0.25)^{25-0}+{ }^{25} C_1(0.25)^1(1-0.25)^{25-1} \\+{ }^{25} C_2(0.25)^2(1-0.25)^{25-2}+{ }^{25} C_3(0.25)^3(1-0.25)^{25-3} \\+{ }^{25} C_4(0.25)^4(1-0.25)^{25-4}+{ }^{25} C_{5 x}(0.25)^5(1-0.25)^{25-5} \\+{ }^{25} C_6(0.25)^6(1-0.25)^{25-6}\end{array}\right)\end{aligned}[/tex]

[tex]\begin{aligned}& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(0.75)^{25-0}+{ }^{25} C_1(0.25)^1(0.75)^{24} \\+{ }^{25} C_2(0.25)^2(0.75)^{23}+{ }^{25} C_3(0.25)^3(0.75)^{22} \\+{ }^{25} C_4(0.25)^4(0.75)^{21}+{ }^{25} C_{5 x}(0.25)^5(0.75)^{20} \\+{ }^{25} C_6(0.25)^6(0.75)^{19}\end{array}\right) \\& =\left(\begin{array}{l}0.0007525+0.006271+0.02508+0.06410 \\+0.1175+0.003171+0.182819\end{array}\right) \\& =0.5611\end{aligned}[/tex]

Therefore,

[tex]P(X \leq 6)=0.5611[/tex]

Step 3:

(b) Probability of exactly 6 calls involving a fax message:

We have to find probabilities for x=6[tex]\begin{aligned}& P(X=6)={ }^{25} C_6(0.25)^6(1-0.25)^{25-6} \\& ={ }^{25} C_6(0.25)^6(0.75)^{19} \\& =0.182819\end{aligned}[/tex]

Therefore,

P(X=6)=0.182819

Step 4:

(c) Probability of at least 6 calls involving a fax message:

We have to add probabilities for x=0 to x=5 and subtract from 1[tex]\begin{aligned}& P(X \geq 6)=1-(P(X < 6)) \\& =1-(P(X \leq 6)-P(X=6)) \\& =1-(0.5611-0.1828) \\& =0.6217\end{aligned}[/tex]

Therefore,[tex]P(X \geq 6)=0.6217[/tex]

Step 5:

(d) Probability of more than 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6 and subtract from 1[tex]\begin{aligned}& P(X \geq 6)=1-(P(X \leq 6)) \\& =1-(0.5611) \\& =0.4389\end{aligned}[/tex]

Therefore,

[tex]P(X \geq 6)=0.4389[/tex]

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$2, 900 is invested in an account earning 6.1% interest (APR), compounded quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

PLEASE HELP

Answers

The Principal when calculated quarterly will give a sum of 2900 + (2.525)^4t at a rate of 6.1% interest

What is Compound Interest?

Compound interest is usually referred to as "interest on interest." Compound interest can work in your favour as your assets increase over time, but it can also work against you if you're paying off debt, such as credit cards. A calculator can assist in estimating how much money compound interest will generate over time.

Given that the Principal amount is $2900

and the Rate of Interest is 6.1%

Since, the interest is calculated quarterly

Amount = Principal * (1 + Rate/4)^4*Time

Amount = 2900 + (1 + 6.1/4)^4t

Amount = 2900 + (10.1/4)^4t

Amount = 2900 + (2.525)^4t

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7. The population of Ludwigville has been steadily declining by 15% each year. If this trend continues, and the population is now 5,000 , what will the population be 12 years from now?
A. 711
B. 0
C. 4250
D. 4289
8. Evaluate e⁵, Round to the nearest ten thousandth.
A. 147.9068
B. 148.1236
C. 149.4200
D. 148.4132
9. Simplify 6e⁴ (8e⁵)/12e⁷
A. 4e²
B. 4e¹³
C. 36e⁹
D. 2e²

Answers

The population be 12 years from now is 6.612.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Aloud to yourself as you read the issueCreate a DrawingAsk yourself, "What am I looking for?"Describe what has been presented.Locate the key phrasesSolveVerify your work.

Population after n years = Present Population = (1 + (r/n))ⁿ

Population after 12 years = 5000 ( 1 + (15/100))²

= 5000(115/100)²

= 5000 (115/100)*(115/100)

= 6.612.5

Hence, the population be 12 years from now is 6.612.

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5+5p=5p +5 is what property

Answers

Answer:

Commutative Property Addition

Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain Range 2. -12 points LarPCakcCC3 4.7002 Fill in the blanks. (Enter the range in interval notation.) Function Alternative Notation Domain Range y cos-1x -1 s x s 1 3. -3 points LarPCakcc3 4.7.003 Fill in the blanks. (Enter the domain and the range in interval notation.) Function Alternative Notation Domain Range y-arctan x y-

Answers

The interval notation of domain and range is (-∞, ∞).

Interval notation:

In algebra, interval notation refers the way to describe continuous sets of real numbers by the numbers that bound them.

Given,

Here we need to write the interval notation of domain and range.

In order to find the interval notation, first we have to know the definition of domain and range.

In math domain refers the domain of a function is the set of values that we are allowed to plug into our function. Basically, this set is the x values in a function such as f(x).

And where as the range of a function is the set of values that the function assumes. And it is the values that the function shoots out after we plug an x value in.

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Determine whether the following graph is a direct variation. Explain how you came to your conclusion. PLEASE I REALLY NEED IT DONE ILL GIVE YOU
BRAINLIEST!!!!!! and pls give me a real answer!!

Answers

The graph in the figure is not a direct variation

How to determine the category of the graph

From the question, we have the graph that represents the given parameters that can be used in our computation

By definition, the graph of a direct variation represents a straight line that passes through the origin

Also, from the graph, we can see that:

The line on the graph is not a straight line. In fact, the line is a curve

A curve does not represent any type of variation

Hence. the graph is not a direct variation

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I’m needing some help with this

Answers

Answer: place points at (0,3) and (5,5)

Step-by-step explanation: the formula for a line is y = mx + b, where m is the slope and b is the y-intercept (the point where the line meets the y-axis). Since b is positive 3, place a point at (0,3).

m = 2/5, and since slope is rise over run (distance traveled in y axis over distance traveled in x axis) and it is positive, your next point is 2 up and 5 right, which is (5,5). You could also place a point at (-2,-2).

Answer:

Step-by-step explanation:

i’ll give brainliest!!!!

Answers

Answer:

Lyric ran faster.

Step-by-step explanation:

When you plot y = 5x, you can trace a certain point to see which value is higher.  When I plotted y = 5x and chose the point when x = 8, y = 40 for Kira, and for Lyric, at x = 8, y = 80.  Since the y coordinate (distance) is higher, Lyric ran faster.

Answer:

Lyric ran faster than Kira, since they were travelling a longer distance when comparing to Kira in the same period of time.

Step-by-step explanation:

You may use the following logic to analyze this situation. Theoretically, the faster runner will have traveled a longer distance at any given point in time different than 0 when comparing to the other runner. Therefore, let's randomly pick a point in time to see who had traveled the longer distance.

The time we'll evaluate will be 4 seconds.

1. Evaluating the function to find Kira's traveled distance at 4 seconds.

For this, simply substitute the "x" by the number "4" in the given equation for Kira:

[tex]y=5(4)\\ \\y=20[/tex]

Conclusion: Kira had traveled a total distance of 20 yards, 4 seconds after starting the race.

2. Evaluating the function to find Lyric's traveled distance at 4 seconds.

To evaluate the graph, we'll have to draw a line where x=4 sits and then find the value of "y" the function returns. Check the attached images in order to see this process.

Conclusion: Lyric had traveled a total distance of 40 yards, 4 seconds after starting the race.

3. General conclusion.

After 4 seconds Kira traveled 20 yards;

After 4 seconds Lyric traveled 40 yards.

Conclusion: Lyric ran faster than Kira, since they were travelling a longer distance when comparing to Kira in the same period of time.

any help on this question

Answers

Option A satisfy the equation after simplification that is y(y-1) / 3(y+1) when the equation that is 36y / (y²- 2y+1) ÷ 12y² / (y²-1)

Given that,

We have to simplify the equation that is

36y / (y²- 2y+1) ÷ 12y² / (y²-1)

We know that,

We have to divide the equations,

36y / (y²- 2y+1) ÷ 12y² / (y²-1)

We can write in multiplication form that is

36y / (y²- 2y+1) × (y²-1) / 12y²

Now we can divide the 36y by 12 y² we get 3/y

3(y²-1)/ y(y²- 2y+1)

We can write the y²-1 as (y-1)(y+1) and by formula y²-2y+1 as (y-1)²

3(y-1) (y+1)/ y (y-1)²

Now we can divide

3(y+1)/ y(y-1)

So we can see in the options

Therefore, Option A satisfy the equation after simplification that is y(y-1) / 3(y+1) when the equation that is 36y / (y²- 2y+1) ÷ 12y² / (y²-1)

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What is the sum? 8 + (negative 12) Group of answer choices –4 20 4 –20

Answers

the answer to 8+(-12) would be -4

A player spins two spinners. The outcome of each spinner is 1, 2, or 3. Each outcome is
equally likely. Define the random variable X to be the maximum of the two numbers on the
spinners. What is E[X]?

Answers

To find the expected value of the random variable X, which is the maximum of the two numbers on the spinners, we need to consider all possible outcomes of the two spinners and calculate their probabilities.

There are nine possible outcomes for the two spinners: (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), and (3, 3). The probability of each outcome is 1/9, since there are three possible outcomes for each spinner and each outcome is equally likely.

For each possible outcome, we can calculate the value of X, which is the maximum of the two numbers on the spinners. For example, if the outcome is (1, 2), then X = 2. If the outcome is (3, 3), then X = 3.

We can then multiply the value of X for each outcome by its probability, and sum the results to find the expected value of X.

For example, the expected value of X for the outcome (1, 1) is 1 * (1/9) = 1/9. The expected value of X for the outcome (1, 2) is 2 * (1/9) = 2/9. The expected value of X for the outcome (1, 3) is 3 * (1/9) = 3/9. And so on.

We can do this for all nine outcomes to find the expected value of X. The expected value of X is the sum of all the expected values of X for each outcome, which is:

E[X] = (1/9) + (2/9) + (3/9) + (2/9) + (3/9) + (3/9) + (3/9) + (3/9) + (3/9) = 20/9 = 2.222...

So, the expected value of the random variable X, which is the maximum of the two numbers on the spinners, is approximately 2.222.

30 POINTS // A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being even numbers is 9 over 36.

If the experiment is repeated 200 times, predict the number of times both spins will be even numbers.

36
50
100
200

Answers

The number of times both spins will be even numbers in 200 spins is (b) 50

How to predict the number of times both spins will be even numbers.

From the question, we have the following parameters that can be used in our computation:

Sections on the spinner = 1, 2, 3, 4, 5, and 6

Also, from the question;

We have the following statement

The theoretical probability of both spins being even numbers is 9 over 36.

This means that

P(Both even) = 9/36

Lastly, we have

Times of experiment = 200

So, we have

Outcomes of both even = P(Both even) * Times of experiment

Substitute the known values in the above equation, so, we have the following representation

Outcomes of both odd =9/36 * 200

Evaluate

Outcomes of both odd = 50

Hence, the outcomes is (b) 50

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Which of the following rational functions has a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = –3?

Answers

The rational function that has a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = -3 is:

f(x) = 3 / (x - 4)(x + 3)

What is  horizontal asymptote?

A horizontal asymptote is a horizontal line that a graph approaches as the independent variable (x) becomes very large or very small. A vertical asymptote is a vertical line that a graph approaches but does not cross as the independent variable becomes very large or very small.A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line as the inputs get closer to 0 or -1. A graph's slant asymptote is a slanted line with the equation y = mx + b, where the graph moves closer to the line as the inputs go toward + or -.

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If my math teacher asked me what's 5÷10+2-9 what would the answer be ?? ​

Answers

Answer:-6.5

Step-by-step explanation:

Answer:

Step-by-step explanation

Use pemdas.

P- Parenthesis

e- Exponents

m- Multiplication

d- Division

a- Additon

s-Subtraction

5÷10+2-9

=5÷12-9

=5÷3

=1.666666666667

My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month

Answers

He need to pay $245 per month .

How is the amount of interest you will pay calculated?

Subtract the number of payments you'll be making that year from the interest rate. You would divide 0.06 by 12 to get 0.005 if you had a monthly payment schedule and an interest rate of 6%. To calculate the amount of interest you will be required to pay that month, multiply that amount by the outstanding loan balance.

Past due bill = $585

Now  just made payment arrangements for the next 3 months to keep my account from being suspended

So, Payment each month of past bill = 585/3 = 195

His normal monthly bill is $50.00 per month.

So, I need to pay per month = $50+$195

= $245

Hence ,He need to pay $245 per month .

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Determine the number of imaginary zeros of the function with the given degree and graph. Explain your reasoning.

Answers

Answer:

1

Step-by-step explanation:

Number of roots = number of real roots + number of non-real roots

The graph intersects the x-axis 3 times

4 = 3 + x

x = 1

A textbook store sold a combined total of 429 chemistry and biology textbooks in a week. The number of chemistry textbooks sold was 51 more than the number of biology textbooks sold. How many textbooks of each type were sold?

Answers

Using system of linear equation, the store sold 240 chemistry books and 189 biology books

System of Linear Equation

A system of equations is a set or collection of equations that you deal with all together at once. The general representation of linear equations are given as y = mx + c

m = slopec = y-intercept

Let set our variables as;

chemistry = x biology = y

x + y = 429 ...eq(i)

x = 51 + y ...eq(ii)

Put eq(ii) into (i)

(51 + y) + y = 429

51 + 2y = 429

2y = 429

y = 189

x = 51 + 189

x = 240

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Why were goods planned to become obsolete?
A. So that the company would become known for quality goods
B. So that people would keep buying new things
C. So that companies could protect their brand
D. So that people could save as much money as possible

Answers

Answer: B

Step-by-step explanation: B. So that people would keep buying new things

Goods are often planned to become obsolete in order to encourage people to continue buying new things. This can be done by intentionally designing products with a limited lifespan or by using materials that are prone to wear and tear. Companies may also release new versions of products or discontinue support for older models in order to encourage consumers to upgrade to the latest version. By making their products become obsolete, companies can create a sense of urgency for consumers to keep buying new things and maintain their sales.

Casey inherited $70000, and decided to invest some of the money in a savings account earning 1% interest per year, and the rest in a certificate of deposit earning 2% interest per year. If the interest from the certificate of deposit was $800 more than the interest from the savings account, how much did Casey invest in each account?

Savings:


Certificate of Deposit:

Answers

The amount that Casey invested in the savings account is $10,000 and the amount Casey invested in the certificate of deposit is $60,000.

How much was invested in the savings account and the certificate of deposit?

0.01c -  0.02s = $800 equation 1

c + s = $70,000 equation 2

Where:

c = amount invested in the certificate of deposit s = amount invested in the savings account

Multiply equation 2 by 0.01:

0.01c + 0.01s = 700 equation 3

Subtract equation 3 from equation 1:

0.01s = 100

Divide both sides of the equation by 0.01:

s = 100 / 0.01

s = 10,000

Substitute for s in equation 2:

c + 10,000 = 70,000

c = 70,000 - 10,000

c = 60,000

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What is the equation in point-slope form of the line that passes through the points (-3, -1) and (2, 9)?
y-1 = 2(x+3)
y-9=2(x-2)
y+9=2(x-2)
y-1= 2(x-3)

Answers

Answer:

[tex]\textsf{B)} \quad y-9=2(x-2)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Given points:

(-3, -1)(2, 9)

Substitute the given points into the slope formula to find the slope of the line:

[tex]\implies m=\dfrac{9-(-1)}{2-(-3)}=\dfrac{10}{5}=2[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute the found slope and point (-3, -1) into the point-slope formula:

[tex]\implies y-(-1)=2(x-(-3))[/tex]

[tex]\implies y+1=2(x+3)[/tex]

Substitute the found slope and point (2, 9) into the point-slope formula:

[tex]\implies y-9=2(x-2)[/tex]

Therefore, the correct answer option is:

[tex]\textsf{B)} \quad y-9=2(x-2)[/tex]

Which of the following is a parametric equation?

Answers

Answer:

[tex]x=5t-3[/tex]

[tex]y=3t^2-5[/tex]

Step-by-step explanation:

[tex]x=5t-3[/tex]

[tex]y=3t^2-5[/tex]

At the local bunny-hop, Mr. Meyering jumps 20 inches on his first jump and then 10 inches with his second jump. If the distances form a geometric sequence, what is the total distance Mr. Meyering jumps if he completes infinitely many jumps?

Hint: Use S = a1/ 1-r and remember that |r| must be less than 1.

Answers

If the distances form a geometric sequence, the total distance Mr. Meyering jumps if he completes infinitely many jumps is equal to 40 inches.

What is a geometric sequence?

In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common ratio) each time.

Mathematically, the sum of an infinite geometric sequence can be calculated by using this mathematical expression:

S = a₁/(1 - r)

Where:

S represents the sum of an infinite geometric sequence.r represents the common ratio or constant ratio.a is the first term of a geometric sequence.

How to determine the total distance Mr. Meyering jumps?

First of all, we would determine the common ratio between the distances he jumped as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 10/20

Common ratio, r = 0.5.

For the total distance, we have;

S = a₁/(1 - r)

S = 20/(1 - 0.5)

S = 20/0.5

S = 40 inches.

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help please and thanks so much

Answers

Answer:

Option 2

Step-by-step explanation:

The greater than sign with the line under it means greater than/less than or equal to. So -2.4 is less than or equal to -2.40.

-Hope this helped


I can ride my bike 8 miles in 2 hours. How many feet can I ride per minute?

Answers

If you can ride your bike 8 miles in 2 hours, you can ride your bike 4 miles in 1 hour. There are 5280 feet in a mile, so you can ride your bike 5280 * 4 = <<5280*4=21160>>21160 feet in 1 hour.

Since there are 60 minutes in an hour, you can ride your bike 21160 / 60 = <<21160/60=352>>352 feet per minute.

What is the probability of obtaining five tails in a row when flipping a​ coin?

Answers

Answer:

1/32  

Step-by-step explanation:

There are  2^5   outcomes from flipping 5 times = 32

  only ONE is   T  T  T  T  T         1 OUT OF 32 =  1/32

how many 3/4 cups serving aare in 5 1/2 cups of yogurt

Answers

Answer:

Below

Step-by-step explanation:

5 1/2 = 11 / 2

11/2  ÷  3/4   = 11/2  x 4/3  = 44/6 = 7  1/3

Find the value of the polynomial x2–3xy+ 1/2 y2 if x= 1/2 and y= 2/3 .

Answers

The value of the given polynomial x² - 3xy + 1/2y² if x = 12 and y = 2/3 is; -19 / 36.

What is the value of the polynomial for the given variable values?

It follows from the task content that the value of the polynomial be determined for the given polynomial expression.

As evident in the task content; the given expression is;

x² - 3xy + 1/2 y².

Hence, since the given values of x and y are: 1/2 and 2/3 respectively.

On this note, we have that;

( 1/2 )² - ( 3 × 1 / 2 × 2 / 3 ) + ( 1 / 2 × (2 / 3)² )

= 1/4 - 1 + ( 2 / 9 )

= -3 / 4 + 2 / 9

= -19 / 36

On this note, the value of the given polynomial is; -19 / 36.

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A person earned $44 a day for babysitting 6 hours. How much can the person earn by babysitting 9 hours a day, at the same hourly rate?

Answers

Answer:

The babysitter earns $66 babysitting for 9 hours a day.

Step-by-step explanation:

1. First, you need to find the amount of money they make babysitting for 3 hours, since 9 and 6 are divisible by 3.

2. Then you divide $44 by 2, to find that they make $22 babysitting for 3 hours.

3. Then you multiply $22 by 3 to get your answer of $66.

If 3x – y = 5 and 2x + y = 15, evaluate x^2 + 2y

Answers

If 3x – y = 5 and 2x + y = 15  then evaluation of  x^2 + 2y is equal to 72.

What is evaluation ?

Finding the value of an algebraic expression when a given number is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.

3x-y=5 and 2x+y= 15

Add the two equations together to eliminate y

3x-y=5

2x+y= 15

---------------------

5x = 20

Divide by 5

5x/5 = 20/5

x = 4

Now we can find y

2x+y = 15

2(4) +y = 15

8+y =15

Subtract 8 from each side

8+y-8 = 15-8

y =7

We want to find

x^2+2xy

(4)^2 +2(4)(7)

16+56

72

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when an article is sold for 1200 there is 10% profit at what price should it be sold to gain 20%​

Answers

Step-by-step explanation:

When an article is sold for 1200 there is 10% profit at what price should it be sold to gain 20%​.

find the base price without any profit:

$1,200/1.1 = $1,090.9090901

to gain 20%:

$1,090.9090901 * 1.2 = $1,309.09 (rounded)

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