They work-infested $18,000 into accounts, one yielding 4% interest and the other yielding 12%. If he received a total of $1,280 and interest at the end of the year, how much did he invest at 4%?​

Answers

Answer 1

Answer:

$11,000

Step-by-step explanation:

Let amount invested for 12% yield be p . Amount for 4% yield is therefore (18000-p)

Interest for 12%: 12% of p=0.12p

Interest for 4%: 4% of (18000-p)=0.04(18000-p)=720-0.04p

Total interest:

=0.12p + (720-0.04p)

=0.12p-0.04p+720

=0.08p+720

But we already know the total interest is 1280

Therefore: 0.08p+720=1280

0.08p=1280-720

0.08p=560

p=560÷0.08

p=7000

Therefore at 4% the person invested:

(18000-p)

18000-7000

$11,000


Related Questions

Determine if 0.292992999299992999992... is rational or irrational
and give a reason for your answer.

Answers

Answer:

Irrational

Step-by-step explanation:

Can't be put into a fraction.

Shown below is a prism.
The cross-sectional area is 21cm2.
The prism has a length of 6cm.
Find the volume of the prism.​

Answers

Answer:

Volume = 126 cm^2

Step-by-step explanation:

You don't exactly know what the base looks like, but it doesn't matter. The volume of a Prism is Base * height.

Solution

V = Base (which is the Cross sectional Area) * Length

V = 21 cm^2 * 6 cm

V = 126 cm^2

A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.

Answers

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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round 0.3391 to the nearest thousandth

Answers

Answer:

0.339

Step-by-step explanation:

Hope it helped!

Hii!

___________________________________________________________

Answer: 0.339

Explanation:

Rounding Rules

There are two rounding rules that will help us whenever we need to round a number! These are the rules.

If the number that you need to round is followed by a digit that is less than 5, you round down.If the number that you need to round is followed by a digit that is either greater than or equal to 5, you round up.

---

Now that we know the rules, let's get down to solving our problem! ^^

The nearest thousandth is 3 decimal places.

_._ _ _ <==== Nearest thousandth

The third number after the decimal point is 9. After it is a digit that is less than 5. According to the rounding rules, we should round down.

\(\boldsymbol{0.3391=== > 0.339}\)

--

Hope that this helped! Best wishes.

--

Can you please help with this question i dont understand thank you.

Can you please help with this question i dont understand thank you.

Answers

1. Cost is proportional to Area includes;

-Carpeting that cost $22 for every 3 square yard

-Cost ($) and Area (ft^2) table

-Mulch that cost a set amount to cover a square foot

2.    Cost is not proportional to Area;

- Linear graph

-  Asphalt sealant that is quoted at a set price per square foot, plus a labor fee

3. Not enough information

- A wood deck quoted at a bulk cost for 25 square feet.

Why is the Linear graph not proportional to area?

The Linear graph is not proportional to the area looking at the coordinates that has been provided. The cost to the yard area does not have a consistent progression. By this, $1,600 should cove 60 yd² instead of 80

The above answer is based on the information provided in the picture as seen below;

Drag each object to show whether cost is proportional to area in the situation represented.

Cost is proportional to Area       Cost is not proportional to Area               Not enough information

a. A wood deck quoted at a bulk cost for 25 square feet.

d. Asphalt sealant That is quoted at a set price per square foot, plus a labor fee.

c. Carpeting that cost $22 for every 3 square yard

d. Mulch that cost a set amount to cover a square foot

e.   Cost ($)                 Area (ft^2)

       500                        400

       750                         600

     1000                        800

f. A cost ($) and area (yd^2) that has coordinates (0, 0), (20, 1200) (80, 1600)

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If HI=square root 20, classify this triangle by sides. *
10
6
8
b
6
in
4
3₂2
(4
H
scalene
isosceles
3 4
O equilateral
none
I
5
6
7
G
8 9
10

If HI=square root 20, classify this triangle by sides. *1068b6in432(4Hscaleneisosceles3 4O equilateralnoneI567G8

Answers

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

what is a sequence?

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(-x-4)(-4x-2)

Answers

Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(-x-4)(-4x-2) and

Answer: \(4x^2 +18x+8\)

Step-by-step explanation:

\((-x-4)(-4x-2)=(-x)(-4x)+(-x)(-2)+(-4)(-4x)+(-4)(-2)\\\\=4x^2 +2x+16x+8\\\\=4x^2 +18x+8\)

A- (x+4) (4x-1)
B- (x-4)(4x-1)
C-(x+4)(4x+1)
D-(x-4)(4x+1)

A- (x+4) (4x-1)B- (x-4)(4x-1)C-(x+4)(4x+1)D-(x-4)(4x+1)

Answers

D-(x-4)(4x+1) is your answer

Answer:

4x²-15x-4

doing middle term factorization

4x²-16x+x-4

4x(x-4)+1(x-4)

(x-4)(4x+1)

Which inequality is graphed below

Answers

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b>1

[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b&gt;1
[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b&gt;1
[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b&gt;1
[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b&gt;1
[ASAP] Which table represents the graph of a logarithmic function in the form y=log _(b)x when b&gt;1

Answers

Answer:

the first table

Step-by-step explanation:

We see that the first table represents the logarithmic function \(y = \log_2x\), so it's the first table.

The first table represents the graph of a logarithmic function in the form y=log _(b)x.

What is a logarithm?

Exponentiation's inverse function is the logarithm. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given table has data where y is a function of x;

y=F(x)

\(y=log _{b}x \\\\ -2 = log _{b}\frac{1}{4} \\\\ \frac{1}{4} = log _{b}{-2} \\\\ -1= log _{b}\frac{1}{2} \\\\ 0=log _{b}1 \\\\ 1=log _{b}2\)

Hence the first table represents the graph of a logarithmic function in the form y=log _(b)x.

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Return to the calculator tab, and click the clear button to begin A new calculation. this time, you'll check for valid triangles given two angles and the side between themUnder sides, enter 5 for a. under angles, enter 30 for b and 50 for c. then click calculate. how many triangles can be created from the given conditions?

Answers

There can be one valid triangle created from the given conditions of side a being 5 and angles b and c being 30 and 50 degrees respectively.

To calculate how many triangles can be created from two angles and a side, the user must click the “calculator” tab. Once this is done, it is important to click the “clear” button to begin a new calculation. After this, the user must enter the side (a) under the “sides” section, and the angles (b and c) under the “angles” section. This example used 5 for the side, 30 for angle b, and 50 for angle c. Once the information is entered, the user must click “calculate”. This will result in a valid triangle being created from the given conditions. It is important to note that if the user entered different values, a different result may be obtained. Therefore it is important to ensure that the values entered are the desired ones. Additionally, if the sum of the angles entered are not equal to 180 degrees, then no valid triangle can be created.

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The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.

Answers

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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HELPPPPPPPPPPPPPPPPPPPPPPPPPP
complete the synthetic division below

HELPPPPPPPPPPPPPPPPPPPPPPPPPPcomplete the synthetic division below

Answers

The quotient in polynomial form is C. x² - x ₊ 1.

What is synthetic division?

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Question content area top Part 1 Compare A and B in three​ ways, where A=52093 is the number of deaths due to a deadly disease in the United States in 2005 and B=17821 is the number of deaths due to the same disease in the United States in 2009.

Answers

In the below we have compared deaths in A and B in terms of ratio, percentage and in terms of proportion.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The first comparison is in terms of rato.

The ratio of deaths due to a deadly disease in the United States at A and B is A : B = 17821 : 52093.

The second comparison in terms of percentage,

The percentage of people died in A is (52093/17821)×100 = 292.31% more than people died in B.

The third comparison is in terms of fractions.

The fraction of people died in A is (52093/17821) = 2.92 times more than people died in B.

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An engineer is drafting a section view for an assembly. Identify from the illustration which two materials are used in the assembly?

A.
cast iron and steel
B.
zinc and aluminum
C.
brass and zinc
D.
steel and aluminum
E.
cast iron and aluminum

An engineer is drafting a section view for an assembly. Identify from the illustration which two materials

Answers

Answer:

Based on the illustration, it seems that the two materials used in the assembly are cast iron and aluminum (option E).

What is the area of BCD?

A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units

What is the area of BCD?A. 36 square units B. 32 square units C. 16 square units D. 72 square units

Answers

Answer:

36

Step-by-step explanation:

The length is 12, and the height is 6

A = 1/2 * b*h

So area = 1/2 * 72 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4 0 4 5

Answers

Answer:

sorry for such a late answer but the correct option is the second table

Step-by-step explanation:

none needed

Answer: It is the second option 0

Step-by-step explanation: Because I took that test and got it right

An interviewer officer selects a person not suitable for the job is:


Select one:
a. Two Directional Bias
b. None of these
c. Three Directional Bias
d. Unbaised Error
e. one direction Bias

Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answers

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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This cube has a volume of 1 millimeter.what is the side Length of the cube

Answers

Answer:

1 milimiter

Step-by-step explanation:

that the answer

The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100

Answers

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles

Answers

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

I need some help please, if you could that would be great

I need some help please, if you could that would be great

Answers

Answer:

I want to say that

Step-by-step explanation:

just only click the question. because now I am confused which I have to solve

Answer:

D. 1/2x + 30 = 3/4(x + 30)

Step-by-step explanation:

we'll use james = y and sarah = x

y = 1/2x

y + 30 = 3/4(x + 30)

now sub in y:

1/2x + 30 = 3/4(x + 30)

Convert from point slope form to slope intercept form.
Slope U/D, (5,0)
Please help me!!!!!!!​

Answers

Answer:

x = 5

Step-by-step explanation:

assuming you mean the slope of the line id undefined and passes through (5, 0 )

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (5, 0 ) with x- coordinate 5 , then

x = 5 ← equation of line

Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12

Answers

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

WILL MARK BRAINLIEST IF ANSWER IS CORRECT

Solve

20÷4+2•5

Answers

Answer: the answer is 8

Step-by-step explanation:

Hope this helped.

hi have a nice day

20

4

+(2)(5)

=15

A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.​

Answers

The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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30 POINTS!!! PLEASE HELP ME! ASAP

30 POINTS!!! PLEASE HELP ME! ASAP

Answers

Answer:

I think is higher

Step-by-step explanation:

please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.






⦁ Create a residual plot for your data.












⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.

please answer all 3 questions Calculate the residuals for your scatterplot in step 2d. Create a residual

Answers

The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326,  0.049, -0.286,  -0.161, 0.214, 0.429 and 0.059

How to determine the residuals?

The regression equation is given as:

y = 0.005x + 3.111

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.005 * 4 + 3.111 = 3.131

y = 0.005 * 3 + 3.111 = 3.126

y = 0.005 * 5 + 3.111 = 3.136

y = 0.005 * 3 + 3.111 = 3.126

y = 0.005 * 8 + 3.111 = 3.151

y = 0.005 * 15 + 3.111 = 3.186

y = 0.005 * 10 + 3.111 = 3.161

y = 0.005 * 15 + 3.111 = 3.186

y = 0.005 * 6 + 3.111 = 3.141

y = 0.005 * 6 + 3.111 = 3.141

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

y = 3.46 - 3.131 = 0.329

y = 2.78 - 3.126 = -0.346

y = 3.2 - 3.136 = 0.064

y = 2.8 - 3.126 = -0.326

y = 3.2 - 3.151 = 0.049

y = 2.9 - 3.186 = -0.286

y = 3 - 3.161 = --0.161

y = 3.4 - 3.186 = 0.214

y = 3.57 - 3.141 = 0.429

y = 3.2 - 3.141 = 0.059

Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326,  0.049, -0.286,  -0.161, 0.214, 0.429 and 0.059

See attachment for the residual plot.

The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line

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please answer all 3 questions Calculate the residuals for your scatterplot in step 2d. Create a residual


Use the percent formula, A = PB, where A is P percent of B, to answer the following question. What is 24% of 60?

Answers

It should be noted that 24 percent of 60 is 14.4.

How to calculate the percentage?

The question is to calculate 24% of 60.

This will go thus:

= 24% × 60

= 24/100 × 60

= 0.24 × 60

= 14.4

Therefore, 24% of 60 is 14.4.

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Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Answers

1. 1/8. 2. 1/8. 3. 1/8.
Other Questions
3. Use proportional reasoning to answer the following question.When buying an item, discount is always taken offbefore applying tax. How much does a $1200phone cost with a 35% discount and 10% tax? Which of the following was NOT a response to the high cost of unionized workers?A)Increased automationB)Moving jobs to cheaper parts of the United StatesC)Moving jobs to cheaper parts of the worldD)Laying off workersE)Refusing to pay pensions How do steryotypes affect you??What would you encourage more young woman to study STEM and why is it???please anwse one or both Which two words from the excerpt best contribute to the Gothic mood and tone of the story?The Fall of the House of Usherby Edgar Allan PoeHaving deposited our mournful burden upon tressels within this region of horror, we partially turned aside the yet unscrewed lid of the coffin, and looked upon the face of the tenant. A striking similitude between the brother and sister now first arrested my attention; and Usher, divining, perhaps, my thoughts, murmured out some few words from which I learned that the deceased and himself had been twins, and that sympathies of a scarcely intelligible nature had always existed between them. Our glances, however, rested not long upon the deadfor we could not regard her unawed. The disease which had thus entombed the lady in the maturity of youth, had left, as usual in all maladies of a strictly cataleptical character, the mockery of a faint blush upon the bosom and the face, and that suspiciously lingering smile upon the lip which is so terrible in death.Word choices:horrorarrestedmurmuredunawedentombedmockerylingering The process of developing a new combinations of the other factors of production is called productivity. distribution. entrepreneurship. allocation. specialization. TIEWrite down the characteristics of the SI units.Write the advantages of SI units. Damaged cells of an organism are usually ------ by mitosis.REBUILTREPLACEDRENEWEDREPAIRED Without computing, decide whether the value of each expression is much smaller than1, close to 1, or much greater than 1.a. 100 - 1000b. 504 + 50-C. 4.7-5.2d. 2= 7335 A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs179 lb, how much wool is in the carpet?Ib Select the correct answer. What is the value of y in this linear system? 41 - 2y + 3z = 1 80 - 3y + 5z = 4 71 - 2y + 4z = 5 O A. 3 OB. 0 O C. 1 o D. -1 Reset Next Al rights reserved. Can you use SSS to prove congruence? May I please get help with the second and fourth figure? I still could not get the correct answers for them Solve by using substitution. a =5b-4 -2a +10b = 5 Does anyone know this answer?? 650,000 Amencans return to their communities from prison each year. About half of them will return to prison within a few years."-National Association for theAdvancement of Colored People (NAACP)This quote is referencingO appealsO diversionO recidivismO expungement A car is 165 inches long. A truck is 65% longer than the car.How long is the truck? Find the value of X. What does X=? Which expression is equivalent to 3x + 6 Which of these is a correct use of a parallel structure. Consider the equation: x^2+10x+22=13Need help asap!!!! this is due in a hour!