2) Ruth borrows $440 at 0.6% simple interest per month. When
Ruth pays the loan back 4 years later, how much interest does
Ruth pay?

Answer:

1220.4

Step-by-step explanation:

S.I.=P×R×T÷100

=6000×4.52×4  1/2÷100

=6000×4.52×9÷2×100

=60×4.52×9÷2

=30×4.52×9

=1220.4

1. Indian

2.South

3.Africa

4.stormyy

When you take a strip of paper, put two half twists in it, and glue the ends together and then cut it lengthwise along the center core line, it results in two interlocked loops.What you get is two interlocked loops when you cut it lengthwise along the center core line. This occurs because the paper strip has been twisted twice. The twist that was made in the paper strip produces two loops that are intertwined after it is cut down the center line.Paper is quite a flexible substance. When it's twisted, it retains its new shape. Because of this, when you twist a strip of paper, it retains its new form. When the strip is bent and connected to form a loop, the twisted part becomes embedded in the paper's core. This produces two loops that are interconnected. When the loop is sliced down the middle, the two loops remain interconnected since the twists in the strip have become embedded in the core.

The common ration is = 5/3

A geometric progression, which is another name for a geometric sequence, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

We need to add the same amount to 20, 50, and 100 to get a geometric sequence.

Call this amount 'x".

Then our terms will be   t1  =  20 +x,   t2  =  50 + x,   and   t3  =  100 + x

To be a geometric sequence, the terms  t1,  t2,  and  t3  must fit in this proportion:

   t3 / t2  =  t2 / t1

Substitutng:            (100 + x) / (50 + x)  =  (50 + x) / (20 + x)

Cross-multiplying:  (100 + x) · (20 + x)  =  (50 + x) · (50 + x)

Multiplying out:         2000 + 120x + x2  =  2500 + 100x + x2

Simplifying:                                    20x  =  500

                                                         x  =  25

So, the numbers are  45,  75,  and  125

The ratio:  125 / 75  =  5/3

and 75 / 45  =  5/3

The common ration is = 5/3

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The length of side "a" in triangle ABC is approximately 8.9 meters. Using the law of cosines with the given values for sides b and c (4.3 m and 6.3 m) and the included angle A (112°), we can calculate the length of side "a" in triangle ABC.

By plugging these values into the law of cosines equation and simplifying the expression, we find that side "a" is approximately 8.9 meters long. The law of cosines is a trigonometric formula used to find the length of a side in a triangle when the lengths of the other two sides and the included angle are known. In this problem, we are given the values of sides b and c (4.3 m and 6.3 m) and the included angle A (112°). By applying the law of cosines equation and substituting the given values, we obtain a quadratic equation in terms of side "a". Solving this equation, we find that the length of side "a" is approximately 8.9 meters. The law of cosines provides a powerful tool for solving triangle problems involving side lengths and angles.

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Answer:

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Step-by-step explanation:

Here is the equation for the graph of the cosine function.

y = A sin(B(x + C)) + D

A = amplitude

period is 2π/B

C = phase shift

D = vertical shift

Lets convert 1800° to Pi radians.

\(1800*\frac{\pi }{180}\)

\(180(10)*\frac{\pi }{180}\)

\(10*\frac{\pi }{180}\)

\(10\pi\) radians

A = 3

B=2π/ 10π  simplifies to \(\frac{1}{2}\)

C = phase shift

D = 4

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Answer:

72

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

18 divided by 3/4 equals 24

Answer:

There are no factors of 3 that add up to -15

Step-by-step explanation:

the only factors of 3 is, 1 and 3.

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

g(4) is -17.

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

\(5.\)

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

\(Silent Nature\)

Answer:

e 125x

f 125 x 12 =150

Step-by-step explanation:

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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The empirical probability of a successful field goal for Frieda is calculated by dividing the number of successful field goals by the total number of attempts. In this case, the number of successful field goals is 37 and the total number of attempts is 61.

Therefore, the empirical probability of a successful field goal for Frieda is 37/61, which simplifies to approximately 0.6065 or 60.65%.

Empirical probability is a statistical term that refers to the probability of an event occurring based on data collected from actual observations or experiments. In this case, the data collected is the number of successful field goals Frieda has kicked out of her total attempts. Dividing these numbers gives us the empirical probability of a successful field goal for Frieda.      

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No, the statement "In spherical geometry, the sum of the angles in a triangle equals 180 degrees." is not true.

The term triangle in geometry refers the polygon with three vertices, sides and angle.

Here we have given the statement "in Euclidean geometry the sum of the angles in a triangle equals 180 degrees"

And we need to find whether this is this also true in spherical geometry.

Basically, the sum of the angles of a spherical triangle is not equal to 180°. Because, we know that the sphere is a curved surface, where locally the laws of the flat Euclidean geometry are good approximations.

Therefore, here in a small triangle on the face of the earth, then the sum of the angles is only slightly more than 180 degrees.

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In football, if the red team scored a touchdown and attempted, but did not successfully complete a two-point conversion, they would have scored a total of 6 points.

When a team scores a touchdown, they earn 6 points. The team then has the option to attempt an extra point by kicking the ball through the goalposts for one additional point or attempting a two-point conversion by running or passing the ball into the endzone for two additional points.

If the team chooses to attempt a two-point conversion but fails to score, they do not earn any additional points. Therefore, the red team would have scored 6 points for the touchdown and no additional points for the unsuccessful two-point conversion attempt, resulting in a total score of 6 points.

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The least-squares linear correlation coefficient for the given dataset can be determined using the Desmos graphing calculator. The options provided are: r=0.74, r=0.938, r=0.968, and r=0.811.

To find the least-squares linear correlation coefficient, we need to calculate the Pearson correlation coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the dataset consists of pairs of values (x, y).

Using the Desmos graphing calculator, we can input the dataset and generate a scatter plot. Then, by selecting the option to display the line of best fit or the regression line, we can obtain the equation of the line and the value of r, the least-squares linear correlation coefficient.

Based on the options provided, we need to calculate the value of r using the Desmos graphing calculator and compare it to the given options. After performing the calculations, the correct answer is the option that matches the calculated value of r.

Therefore, the option that corresponds to the least-squares linear correlation coefficient calculated using the Desmos graphing calculator for the given dataset should be selected as the answer.

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Answer:

x= 2/6

Step-by-step explanation:

add 3x to both sides

add 1 to both sides

divide 6 to both sides to isolate x

x = 2/6

Answer:

n+49

Step-by-step explanation:

Answer:

n+49

Step-by-step explanation:

let n = a number

Answer:

Dependent

Step-by-step explanation:

The output of a function is the y value. This is also the dependent variable.

Answer:

B. 1/81

Step-by-step explanation:

f(-4) = 3(-4)

f(-4) = -12

Hope that helps.

-12,1/243,-64 or 1/81

1/81 would be the correct answer to the equation hope this helps

evaluate the function rule for the given value.

f(x)=3^x for x=-4

-----

f(-4) = 3^(-4)

---

f(-4) = (1/3)^4

---

f(-4) = 1/81

The perimeter of parallelogram ABCD in which AM ,BN are angle bisector and DM = 4ft and MN = 3ft  is: P = 2(AB + BN) = 2(2 + 2) = 8 ft.

Perimeter is the total length of the boundary or the distance around the edge of a two-dimensional shape such as a polygon or a circle.

To find the perimeter of parallelogram ABCD, we need to find the length of each side of the parallelogram.

Since AM and BN are angle bisectors of parallelogram ABCD, we know that they intersect at the diagonals' midpoint. Therefore, we can say that DM = MB and MN = NA.

Using this information, we can label the sides of the parallelogram as follows:

AB = CD = x (opposite sides of a parallelogram are equal)

AM = MC = BM = MD = x/2 (diagonals of a parallelogram bisect each other)

BN = ND = NA = NC = y (angle bisectors of a parallelogram bisect opposite angles and sides)

DM = 4 ft and MN = 3 ft (given)

Since DM = MB, we can write:

x/2 + 4 = y + 3

x/2 - y = -1

Since BM = MC, we can write:

x/2 + y = x

y = x/2

by substituting-

x/2 + 4 = x/2 + 3

x = 2

Therefore, AB = CD = 2 ft and BN = ND = NA = NC = x/2 = 1 ft.

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The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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a. The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. The quantity demanded of blue jeans will increase by approximately 10.7%.

a. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Given:

Price = $40

Price of khakis = $50

Advertising = $2

Weekend (dummy variable) = 1 (indicating it is the weekend)

To calculate the price elasticity of blue jeans on the weekend, we need to use the coefficient for the "Price" variable from the regression results.

Price elasticity of demand = (Coefficient for Price * Price) / Quantity demanded

Coefficient for Price = -4.5 (from regression results)

Price = $40 (given)

Quantity demanded can be calculated using the regression equation:

Quantity demanded = Intercept + (Coefficient for Price * Price) + (Coefficient for Price Khakis * Price of khakis) + (Coefficient for Advertising * Advertising) + (Coefficient for Weekend * Weekend)

Intercept = 200 (from regression results)

Coefficient for Price Khakis = 2.2 (from regression results)

Coefficient for Advertising = 6.5 (from regression results)

Coefficient for Weekend = 10.0 (from regression results)

Quantity demanded = 200 + (-4.5 * 40) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

Quantity demanded = 200 - 180 + 110 + 13 + 10

Quantity demanded = 153

Now we can calculate the price elasticity of demand:

Percentage change in quantity demanded = (Quantity demanded - Quantity demanded with a 5% price decrease) / Quantity demanded

Percentage change in quantity demanded = (153 - Quantity demanded with a 5% price decrease) / 153

Percentage change in price = 5% (given)

Price elasticity of demand = (Percentage change in quantity demanded / Percentage change in price) * (Price / Quantity demanded)

Price elasticity of demand = ((153 - Quantity demanded with a 5% price decrease) / 153) / 0.05 * (40 / 153)

To find the quantity demanded with a 5% price decrease, we calculate:

New price = $40 - (5% of $40) = $40 - ($2) = $38

New quantity demanded = 200 + (-4.5 * 38) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

New quantity demanded = 200 - 171 + 110 + 13 + 10

New quantity demanded = 162

Substituting the values into the formula:

Price elasticity of demand = ((153 - 162) / 153) / 0.05 * (40 / 153)

Price elasticity of demand = (-0.059 / 0.05) * (40 / 153)

Price elasticity of demand ≈ -2.14

The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. We already calculated the price elasticity of demand (-2.14). Now, we can use this elasticity to determine the percentage change in quantity demanded when the price is reduced by 5%.

Percentage change in price = -5% (given)

Percentage change in quantity demanded = Price elasticity of demand * Percentage change in price

Percentage change in quantity demanded = -2.14 * (-5%)

Percentage change in quantity demanded = 10.7%

Therefore, if the price of blue jeans is reduced by 5%, the quantity demanded will increase by approximately 10.7%.

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the answer is a i hope this helps

Step-by-step explanation:

hope this helps

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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If the cost for your car repair is in the lower 5% of automobile repair charges, your maximum possible cost in dollars would be relatively low compared to the majority of car repair charges.

When we say the cost is in the lower 5% of automobile repair charges, it means that your cost is lower than 95% of the repair charges. In other words, only 5% of car repair charges are lower than yours. Since we don't have specific data on the distribution of repair charges, it is difficult to provide an exact maximum cost. However, we can assume that the maximum possible cost in this scenario would be relatively low compared to the majority of car repair charges.

To put it into perspective, if the average car repair cost is $1,000, and your cost is in the lower 5%, it could be around $100-$200. Again, this is just an estimate to illustrate the concept. The actual maximum cost would depend on the distribution of repair charges and could vary significantly. However, given that your cost is in the lower 5%, you can expect it to be relatively affordable compared to the majority of car repair charges.

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a. The complete table for the ordered pairs that are solutions to y = x³ - 4 is

x             y

-1            -5

0            -4

1             -3

2            4

b. The graph of the equation is shown below

From the question, we are to complete the given table of ordered pairs that are solutions to the given equation.

The given equation is

y = x³ - 4

Now, we will determine the values of y for the given values of x

When x = -1

y = x³ - 4

y = (-1)³ - 4

y = -1 - 4

y = -5

(-1, -5)

When x = 0

y = x³ - 4

y = (0)³ - 4

y = 0 - 4

y = -4

(0, -4)

When x = 1

y = x³ - 4

y = (1)³ - 4

y = 1 - 4

y = -3

(1, -3)

When x = 2

y = x³ - 4

y = (2)³ - 4

y = 8 - 4

y = 4

(2, 4)

Thus,

The table is

x             y

-1            -5

0            -4

1             -3

2            4

The graph is shown below

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