How many years are needed for the loan to mature from 100000 to 250000 at thr quarterly interest rate of 7%

When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.

Answer:

a=7

b=11

Step-by-step explanation:

4a=3a+7

-3a -3a

a=7

2b=b+11

-b -b

b=11

sides parallel from eachother in a parallelogram are equal to eachother.

Answer:

6

Step-by-step explanation:

Answer:

It might be 11 but u try ur best

The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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Answer:

Step-by-step explanation: f two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar.

A seam or edge is an obvious line where the foundation starts or stops. This term refers to a clear boundary or distinction between two areas or surfaces, such as when applying makeup.

A seam or edge is an obvious line where the foundation starts or stops. These lines indicate the boundary of where foundation makeup should be applied or where it should end. It is important to blend the foundation seamlessly into the skin to avoid any noticeable lines or streaks. Additionally, applying a primer beforehand can help smooth out the skin's texture and create a more even base for foundation application. By taking the time to properly blend and apply foundation, you can achieve a flawless, natural-looking complexion.
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The solution to the system of equations is (-5,-6)

The system of equations is given as:

x = -5

y = -6

Next, we plot both equations on a coordinate plane (see attachment)

From the attached graph, both lines intersect at:

(x,y) = (-5,-6)

Hence, the solution to the system of equations is (-5,-6)

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1) Gathering the data

1/5 inch

7/20 inches long

2) Let's them divide, 7/20 by 1/5 inches

When divide fractions, we multiply the reciprocal of the second fraction

and if possible we can simplify

Answer:

3rd one

.

.

...................

Answer:

\(-7^\circ C\)

Step-by-step explanation:

Let

x -----> the height in meters

y ----> the temperature in Celsius degree

we know that

The linear equation in slope intercept form is equal to

\(y+mx+b\)

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

\(m=-\dfrac{1}{100} \dfrac{^\circ C}{m}\) ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

\(b=4^\circ C\) ----> value of y when the value of x is equal to zero (sea level)

substitute

\(y=-\dfrac{1}{100} x+4\)

For x=1,100 m

substitute in the linear equation and solve for y

\(y=-\dfrac{1}{100} (1,100)+4\)

\(x=-7^\circ C\)

a) 102 of the freshmen like jazz.

b) 306 of the freshmen like neither jazz nor rock.

c) 76 of the freshmen like both rap and rock, but don't like jazz.

The Venn diagram provided shows the result of the survey conducted by the college radio station to determine the number of incoming freshmen that like jazz music, rock music, and rap music.

A Venn diagram is a graphical representation of all possible logical relations among a set of finite collections of different sets or categories.

To answer the questions:

What is the number of freshmen that like jazz?

From the Venn diagram, the number of freshmen that like jazz music = 102 freshmen.

What is the number of freshmen that like neither jazz nor rock?

From the Venn diagram, the number of freshmen that like neither jazz nor rock music = 306 freshmen.

What is the number of freshmen that like both rap and rock, but don't like jazz?

From the Venn diagram, the number of freshmen that like both rap and rock music but don't like jazz music = 76 freshmen.

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Answer:

8 + 48p

Step-by-step explanation:

−196,16

.....................

If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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Answer:

2,5,6

Step-by-step explanation:

-Z1 and 55*are vertical angles

-Z1 and 55*are angles on a straight line=180*

this means 180*=55*+Z1

make Z1 subject of the formula- Z1=180*-55*

- mZ2,55*,45* are all angles in the given triangle

since the sum of angles in a triangLe =180*

therefore-180*=Z2+55*+45*

make Z2 the subject of the formulary

Z2=180*-55*-45*

To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

Where:

Sample Mean = $91.78

Standard Deviation = $23.13

Sample Size = 44

Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)

Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))

Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)

Confidence Interval = $91.78 ± (1.645 * $3.49)

Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)

Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)

Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.

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The boiling point of water can be affected by several factors, including pressure. The boiling point of water decreases with decreasing pressure. In this case, the pressure is given as 0.04 bar. At this pressure, water boils at a lower temperature than it would at atmospheric pressure, which is 1 bar.

The correct answer to this question is b. 35.6 C. This is because at a pressure of 0.04 bar, water boils at 35.6 C, which is lower than the standard boiling point of water at atmospheric pressure, which is 100 C.The boiling point of water decreases by about 1 C for every 28.5 millibars (0.0285 bar) of pressure reduction.

So, at a pressure of 0.04 bar, the boiling point of water is about 64 C lower than it would be at atmospheric pressure. Therefore, water boils at 35.6 C at a pressure of 0.04 bar.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.

The ratio of sparkling water to grape juice is,

1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) =  2 : 1

The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is

2/3 · 75quarts = 50 quarts

Then the grape juice content is,

1/3 · 75 quarts = 25 quarts

Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.

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The calculated concentration of [PO43-] at equilibrium is approximately 7.28 x 10^20 M.

To determine the concentration of [PO43-] at equilibrium, we need to consider the reaction between Pb(NO3)2 and Na3PO4. The balanced equation for the reaction is:

3Pb(NO3)2 + 2Na3PO4 -> Pb3(PO4)2 + 6NaNO3

Given the initial volumes and concentrations of the solutions, we can calculate the moles of Pb(NO3)2 and Na3PO4 used in the reaction. From there, we can determine the moles of Pb3(PO4)2 formed and the resulting concentration of [PO43-] at equilibrium.

Using the volumes and concentrations provided (75 ml of 0.80 M Pb(NO3)2 and 10 ml of 0.10 M Na3PO4), we find that the moles of Pb(NO3)2 used is 0.06 mol and the moles of Na3PO4 used is 0.001 mol. Since the stoichiometric ratio between Pb3(PO4)2 and PO43- is 2:1, we can calculate that 0.03 mol of Pb3(PO4)2 is formed.

To determine the concentration of [PO43-] at equilibrium, we divide the moles of Pb3(PO4)2 formed by the total volume of the solution (85 ml), resulting in a concentration of approximately 7.28 x 10^20 M.

Therefore, at equilibrium, the concentration of [PO43-] is approximately 7.28 x 10^20 M. This value is obtained by considering the stoichiometry of the reaction and the initial concentrations and volumes of the solutions.

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Answer:

Below

Step-by-step explanation:

The 'constant' number in front of a variable

3 is the coefficient of all of  the following

   3x      3x^2    3x^3     3x^10  

Answer:

7/9

Step-by-step explanation:

8 blue + 6 green + 12 yellow + 10 orange = total of 36 marbles

blue = 8

not blue = 36 - 8 = 28

p(not blue) = 28/36 = 7/9

Answer: 7/9

The reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

Let's solve the system of equations based on the given information:

Let b be the number of black buttons in one sack and w be the number of white buttons in one sack.

From the first equation, we know that the number of black buttons in one sack is 9 more than the number of white buttons:

b = w + 9

From the second equation, we know that the total number of buttons in one sack is 372 divided by the number of sacks (12):

b + w = 372/12

b + w = 31

We can substitute the value of b from the first equation into the second equation:

(w + 9) + w = 31

2w + 9 = 31

2w = 31 - 9

2w = 22

w = 22/2

w = 11

Substituting the value of w back into the first equation, we can find the value of b:

b = 11 + 9

b = 20

Therefore, the reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

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Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

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Answer:

65mm

Step-by-step explanation:

From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.

the option that is closest to the volume of the sugar container would depend on the provided options. Please provide the options to determine the closest one.

To find the volume of the cylindrical container, we can use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

Given that the diameter is 4 inches, the radius is half of that, which is 2 inches. The height is given as 12 inches.

Substituting the values into the formula, we get:

V = π(2²)(12) = 48π cubic inches.

To compare the volume to the given options, we need to approximate the value of 48π. Using a calculator, we find that 48π is approximately 150.796 square inches.

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