4. Estimate.
12 x 11
36 x 29
84 x 27

Answer:

4 years

Step-by-step explanation:

Given data

Principal P=$5000

Rate r= 7.5%

Final amount A=$6500

The expression for the simple interest is

A=P(1+rt)

Substitute

6500=5000(1+0.075*t)

6500=5000+375t

6500-5000=375t

1500=375t

t= 1500/375

t= 4 years

Hence, the time is 4 years

The length of the entire line which is subdivided according to golden ratio is 13.09 meters.

What is Golden Ratio?

The golden ratio is a special number approximately equal to 1.618

We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part

Let smaller part of a line be b and long part be a

Golden ratio = a + b/a = a/b = 1.618

According to the given question:

Length of smaller part of line = 5 meters

Let the longer length of the line be x

∴ Total length of line = 5 + x

Using Golden ratio to find the entire length of line

x/5 = 1.618

x = 8.09

Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09

∴ Length of entire line is 13.09 meters

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Answer:

slope : 0

y - intercept : ( 0,-1 )

Step-by-step explanation:

Answer:

b = -6 (Answer d)

Step-by-step explanation:

The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4).  Substitute -5 for x and 4 for y, to obtain:

4 = -2(-5) + b, or

4 = 10 + b, or

b = -6 (Answer d)

Answer:

5 x X + 3 = -7 is your expression.

Answer:

-2*5+3=-7

Step-by-step explanation:

-2*5=-10

-10+3=-7

Answer:

3

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

Answer:

\(\dfrac{1}{24}\ \text{yard}\)

Step-by-step explanation:

Amount of ribbon Trista had is \(\dfrac{7}{8}\ \text{yard}\)

Amount of ribbon used in the frame \(\dfrac{5}{6}\ \text{yard}\)

Amount of ribbon remaining is

\(\dfrac{7}{8}-\dfrac{5}{6}=\dfrac{21-20}{24}\)

\(=\dfrac{1}{24}\ \text{yard}\)

The amount of ribbon remaining is \(\dfrac{1}{24}\ \text{yard}\).

The size of the angle marked x is 33.6°, using trigonometric ratios.

Trigonometric ratios are used in right triangles for the ratios of any two sides with respect to any acute angle of that triangle.

In the question, we are asked to find the size of the angle marked x.

In the given triangle, PQR, we can see that ∠Q = 90°.

By trigonometric ratios, we know that:

cos ∠R = QR/PR,

or, ∠R = cos ⁻¹ (QR/PR),

or, ∠R = cos ⁻¹ (15/18),

or, ∠R = cos ⁻¹ (5/6),

or, ∠R = cos ⁻¹ (cos 33.55730976°),

or, ∠R = 33.55730976°,

or, ∠R ≈ 33.6°.

Thus, the size of the angle marked x is 33.6°, using trigonometric ratios.

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Answer:

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps

Answer:

(Rational Functions Practice)

3. Graph the function. (1 point)

xy+25=0

Step-by-step explanation:

Graph B. is the correct answer

An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

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The complete question is given below:

What alternative best describes the language represented by the following regular expression?

(0∪ε)(1∪10)

Group of answer choices

(A) Strings do not have 2 consecutive 0s.

(B) Strings that only start with 1.

(C) Strings do not have 2 consecutive 1s.

(D) Strings that consist of alternating 0s and 1s.

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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70 trees can be planted at a distance of 6 meters each around the rectangular plot.

In order to find the number of trees, we must first find out how much space we have in the plot. To find the space, calculate the perimeter of rectangular plot. Formula of perimeter of rectangular plot: 2 (length + breadth)

Perimeter of Rectangular plot : 2 (120m + 90m)

= 420m

Therefore, the perimeter of the rectangular plot in 420m, To determine how many trees can be planted, we need to divide the perimeter by the distance between each tree: Number of trees = Perimeter / Distance between trees.

= 420m / 6m

= 70

Therefore, 70 trees can be planted around the rectangular plot at a spacing of 6 meters apart.

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Complete Question

How many trees can be planted at a distance of 6m each around a rectangular plot whose length is 120m and breadth is 90m?

Answer:

x=771

Step-by-step explanation:

−771 + x = 0

x − 771 = 0

x − 771 + 771 = 0 + 771

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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A Home Depot, Inc. coupon bond that pays interest of $60 annually has a par value of $1,000, matures in 10 years, and is selling today at an $84.52 discount from par value. The yield to maturity on this bond is  7.22%.

The yield to maturity (YTM) on a bond is the total return anticipated on a bond if it is held until maturity. To calculate the YTM, we need to determine the discount rate that equates the present value of the bond's future cash flows (interest payments and the final principal payment) with its current market price.

In this case, the coupon bond has an annual interest payment of $60, a par value of $1,000, matures in 10 years, and is selling at an $84.52 discount from par value.

To calculate the yield to maturity, we can use a financial calculator or a spreadsheet software, or we can make an estimate using trial and error. In this case, I'll use the trial and error method.

Let's assume a yield to maturity (YTM) of 7%. We can calculate the present value of the bond's future cash flows using this yield:

Present value of interest payments = $60 / (1 + 0.07) + $60 / (1 + 0.07)^2 + ... + $60 / (1 + 0.07)^10

Present value of principal payment = $1,000 / (1 + 0.07)^10

Next, we can sum up the present values of the interest payments and the principal payment:

Present value of bond = Present value of interest payments + Present value of principal payment

Now, we can compare the present value of the bond with its current market price. If the calculated present value is close to the market price, then the assumed yield is the yield to maturity. If not, we can try a different yield and repeat the calculations until we find a yield that matches the market price.

In this case, the bond is selling at an $84.52 discount from par value, so the market price is $1,000 - $84.52 = $915.48.

Let's plug in the yield of 7% and calculate the present value of the bond:

Present value of interest payments = $60 / (1 + 0.07) + $60 / (1 + 0.07)^2 + ... + $60 / (1 + 0.07)^10 ≈ $421.55

Present value of principal payment = $1,000 / (1 + 0.07)^10 ≈ $508.54

Present value of bond = $421.55 + $508.54 ≈ $930.09

The calculated present value of the bond is $930.09, which is higher than the market price of $915.48.

To find the correct yield to maturity, we can try a slightly higher yield. Let's assume a yield of 7.5% and repeat the calculations:

Present value of interest payments = $60 / (1 + 0.075) + $60 / (1 + 0.075)^2 + ... + $60 / (1 + 0.075)^10 ≈ $416.23

Present value of principal payment = $1,000 / (1 + 0.075)^10 ≈ $496.58

Present value of bond = $416.23 + $496.58 ≈ $912.81

The calculated present value of the bond is now $912.81, which is closer to the market price of $915.48.

By continuing this process of trial and error, we can find that the yield to maturity on this bond is approximately 7.22%.

The yield to maturity is the rate of return an investor can expect to receive if they hold the bond until maturity and reinvest all coupon payments at the same yield. In this case, the yield to maturity is approximately

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Starting Equation : 4x+6<-6

1. Subtract 6 from both sides

4x+6-6<-6-6

2. Simplify

4x<-12

3. Divide both sides by 4

4x/4 < -12/4

4. Lastly Simplify again

x < -3

The incorrect statement is e. The standard error for proportion is 0.0272.

The standard error for proportion is calculated as the square root of (p(1-p))/n, where p is the proportion of success (in this case, the proportion of drivers under 18 using cellphones while driving) and n is the sample size.

In this scenario, the proportion of drivers under 18 using cellphones while driving is estimated to be 150/200 = 0.75. To calculate the standard error, we substitute this proportion into the formula:

Standard error = sqrt((0.75 * (1-0.75)) / 200) = sqrt(0.1875 / 200) = 0.0273

Therefore, the correct value for the standard error is approximately 0.0273, not 0.0272 as stated in option e.

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The binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

The questions using the binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

Without this information, it is not possible to provide accurate calculations. The binomial distribution formula is used when we have a fixed number of independent trials (small businesses in this case) and each trial has two possible outcomes (owned by a woman or not).

We would need the probability of success (p) and the number of trials (n) to calculate the probabilities. Once we have these values, we can use the formula to find the desired probabilities, such as the expected number of small businesses owned by women, the standard deviation, and the probabilities for specific scenarios.

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Answer: C

Step-by-step explanation:

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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This is the expression for ∂z/∂u using the Chain Rule.

To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.

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Given the following System of Equations:

You can solve it with Cramer's Rule. The steps are shown below:

1. By definition, you know that for "x"

In this case:

Then, you can substitute values and evaluating, you get that the value of "x" is:

2. By definition, for "y":

Knowing the values, substitute and evaluate:

Therefore, the answer is:

Answer:

Fraction: 1/256 or

Decimal: 0.00390625 or 0.00391

Step-by-step explanation:

4^-4=1/4^4

4^4=256

=1/256

Answer:

17

Step-by-step explanation:

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.

The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.

A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

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Answer:

The value is 6

Step-by-step explanation:

Since the slope is 1/2, you can plot the coordinates 5,7.

5=x axis

7=y axis

After that you can use the formula rise/run = 1/2

Then you plot 3 on the graph. Then you use formula rise over run,

then you get 6

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Answer:

103y/100

Step-by-step explanation: