You would like to start your own business in Hempstead. You borrow
$10,000 form the bank at a 9% rate for 5 years. How much interest
will you pay on this loan?

Answer:

x = - 56/9 or -6.2

Step-by-step explanation:

Answer:

M(3, 2) and N(3, 1)

Step-by-step explanation:

A rectangle was rotated 270° about the origin.

Since it doesn't mention which direction, we will review both clockwise and anti-clockwise rotation.

See attached where top rectangle represents the pre-image before anti-clockwise and bottom one - before clockwise rotation.

Now let's check the points given:

K(–3, –1)

M(–3, 2)

M(3, 2)

N(–3, 1)

N(3, 1)

So based on correct points of pre-image we can state it was rotation anti-clockwise

Answer:

C and E

Edge 2021

Dhamby, this is the solution:

Before graphing a given rational function, it is occasionally necessary to simplify it. If, other than at asymptotes, there are any excluded values then graphing the function requires an additional step.

The function y=f(x), where f(x) is a rational expression, is the formula for a rational function.

Drawing the graphs of the rational functions might be challenging. Finding the asymptotes and intercepts is a good place to start when attempting to sketch a graph of a rational function.

The steps in graphing rational functions are as follows:

Find the rational function's asymptotes, if any exist.

Create dotted lines for the asymptotes.

Find the rational function's x-intercept (s) and y-intercept, if any.

For various x values, determine the values of y.

Plot the spots and then create a straight line to connect them and check to see if the graph crosses the vertical asymptotes.

Make sure the function is not a continuous smooth curve at the excluded value if you want to portray an undefined function. Typically referred to as the "hole in the rational function," this excluded value

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Answer:

A: y=-2/3x+6

Step-by-step explanation:

The rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute.

To find the rate of change of the area of a circle with respect to its radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.

We are given that the radius is increasing at a rate of 8 centimeters per minute, so we can express this as dr/dt = 8 cm/min.

To find the rate of change of the area when the radius is 2 centimeters, we need to differentiate the area formula with respect to the radius:

dA/dt = d/dt (πr²)

Using the chain rule, we have:

dA/dt = dA/dr * dr/dt

Since we want to find the rate of change of the area when the radius is 2 centimeters, we substitute r = 2 into the derivative:

dA/dt = dA/dr * dr/dt = (π(2)²) * 8 = 4π * 8 = 32π

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EXPLANATION

In order to get coordinates of D such that △ABC ≅ △ADC, the distance between the point A and the point D should be the same that the distance from the point A to the point B. Therefore, we just need to reflect the point B over the point A.

Reflecting the point B over the point A give us a point that is located 4 units right and 8 units down from the point B.

Thus, the coordinates of the point D are: (1,-3)

The value of  0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is -40

An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

Given:

0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4))

= 0+5-10-15-20

=5-25-20

= -40

Hence, value of  0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is 40.

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Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

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The limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.

The divergence test is a test used to determine if a series converges or diverges. It states that if the limit of the sequence of terms of a series is not zero, then the series diverges.

The series 3n/(2n + 1) can be simplified to

=3/2 - 3/4n + 3/4n+1.

As n approaches infinity, the terms in the series approach 3/4n, which approaches infinity as n approaches infinity.

Therefore, the limit of the sequence of terms of this series is not zero, and so the series diverges. Thus, the answer to the question is the series diverges.

A more general form of the divergence test states that if the limit of the sequence of terms of a series is not zero, then the series diverges. However, if the limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.

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A simple random sample involves taking a proportion from a population to represent the complete data set.

The books in the sample are: (b) 06 35 58 10 47

The numbers are given as:

85063 55810 10470 08029 30025

Rewrite the numbers as 2-digits as follows:

85 06 3 5 58 10 10 47 0 0 80 29 30 02 5

So, we have:

85 06 35 58 10 10 47 00 80 29 30 02 5

Remove numbers outside the range 01 - 70, the single digits and the repeated numbers

06 35 58 10 47 29 30 02

Take the first five samples

06 35 58 10 47

Hence, the books in the sample are: 06 35 58 10 47

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Answer:

B

Step-by-step explanation:

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What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

9514 1404 393

Answer:

  no; 2 has many factors besides 2

Step-by-step explanation:

The zero product rule says the only way a product may have a value of zero is if one or more factors is zero. That is why one of the factors of ...

  (x^2 +a)(x^2 +b) = 0

must have a value of 0.

__

The same cannot be said of 2. We might have (1/2)(4) = 2, for instance, in which neither factor is 2. That a product is 2 is not a requirement that one of the factors be 2.

The slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the equation is -15y=18x+7. We have to write the equation in the slope-intercept form.

The slope-intercept form of the equation is,

y=mx+c

Where, m is the slope and c is the intercept,

-15y=18x+7

y=(-18/15)+(-7/15)

y= -1.2x-0.46

Thus, the slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

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The equity of the entity, according to the basic accounting equation, is R6 000. The basic accounting equation is Assets = Liabilities + Equity. To find the equity of the entity, we need to subtract the total liabilities from the total assets.

Bank balance: R5 000

Machinery balance: R3 000

Trade payables: R2 000

Total assets = Bank + Machinery

            = R5 000 + R3 000

            = R8 000

Total liabilities = Trade payables

                 = R2 000

Equity = Total assets - Total liabilities

      = R8 000 - R2 000

      = R6 000

Therefore, the equity of the entity, according to the basic accounting equation, is R6 000.

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1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:

\(g(-3)=-2\)

Step-by-step explanation:

Substitute g(-3) into the function:

\(g(-3)=2(-3)+4\)

Multiply:

\(g(-3)=-6+4\)

Add:

\(g(-3)=-2\)

Answer: -2

Step-by-step explanation:

plug g(x) with -3 so it would be 2(-3) + 4 and then simply and add so 2(-3) equals -6 + 4 is -2

Answer:

63 Days

Step-by-step explanation:

Add my discord kisS_My_Axe101#8338

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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Answer:

57

Step-by-step explanation:

57 is 95% of 60

(See image below for more information)

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

\(y=-\frac{6}{7} x+6.\)

Step-by-step explanation:

1) if the point on the X- and Y-axis are A(7;0) and B(0;6), then it is possible to make up the equation of the line according to the rule:

\(\frac{x}{X_A} +\frac{y}{Y_B} =1; \ => \ \frac{x}{7} +\frac{y}{6} =1.\)

2) the slope-interception form of this line is:

\(y=-\frac{6}{7} x+6.\)

Answer: y=-x+6

Step-by-step explanation:

slope=-1

y intercept (b) =6

y=mx+b

y=-1x+6

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

The logarithm of a number raised to a power is  the product of the power. The logarithm of a quotient of two numbers is the difference of the logarithms. The logarithm of a product of two numbers is the sum.

In the given statements, logarithms are used to express relationships between exponentiation, division, and multiplication.

For the first statement, log(4) = 6 implies that 4 raised to the power of 6 is equal to 4. This demonstrates the property that the logarithm of a number raised to a power is equivalent to the power multiplied by the logarithm of the number.

In the second statement, log(2) = log(4) - 8 indicates that the logarithm of 2 is equal to the difference between the logarithms of 4 and 8. This illustrates the property that the logarithm of a quotient of two numbers is equal to the difference of their logarithms.

Lastly, in the third statement, log(4.8) = log(4) + 3 shows that the logarithm of the product 4.8 is equal to the sum of the logarithms of 4 and 3. This property signifies that the logarithm of a product of two numbers is equal to the sum of their logarithms.

These properties of logarithms are fundamental in simplifying calculations involving exponentiation, division, and multiplication.

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Intellectual disability applies to those who have score below or around 70 on a standard IQ test.

Intellectual disability, also known as intellectual developmental disorder, is a condition characterized by significant limitations in both intellectual functioning and adaptive behavior. These limitations manifest during the developmental period and can impact various areas of an individual's life.

The specific cutoff score on a standard IQ test to determine intellectual disability may vary depending on the diagnostic criteria used. However, a commonly referenced threshold is around 70 or below on an IQ test.

However, it's important to note that an intellectual disability diagnosis is not solely based on IQ score and requires comprehensive assessment of an individual's overall functioning and daily life skills This includes evaluating their ability to communicate, take care of themselves, socialize, and navigate their environment.

The diagnosis takes into account the individual's unique strengths, weaknesses, and level of support needed.

It is important to note that the diagnosis of intellectual disability involves a comprehensive assessment that considers multiple factors beyond IQ score alone, including adaptive skills, social functioning, and overall impairment in daily life functioning.

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