On Monday, your bank account balance was −$12.92. Because you didn't realize this, you wrote a check for $30.41 for groceries. What is the new balance in your account?

The amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60.

To calculate the accumulated amount by the end of the sixth and final payment, we can use the future value of an ordinary annuity formula:

Future Value = Payment × Future Value of an Ordinary Annuity Factor

The payment is $5,800, and the interest rate is 9%. Since the payments are made at the end of each year, we can use the future value table for an ordinary annuity at 9%.

Looking up the factor for 6 years at 9% in the future value table, we find it to be 7.169858.

Now we can calculate the accumulated amount:

Future Value = $5,800 × 7.169858 = $41,666.60

Therefore, the amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60. The correct answer is not among the options provided.

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Answer:y=9

Step-by-step explanation:

y=mx+9

Swap sides so that all variable terms are on the left hand side.

mx+9=y

Subtract 9 from both sides.

mx=y−9

The equation is in standard form.

xm=y−9

Divide both sides by x.

x

xm

​

=

x

y−9

​

Dividing by x undoes the multiplication by x.

m=

x

y−9

​

Solve for x

{

x=

m

y−9

​

,

x∈R,

​

m



=0

y=9 and m=0

​

Answer:

Y=1

Step-by-step explanation:

(3,1)

(x,y)

Y=mx+c

1=m3+c

Answer:

54°

Step-by-step explanation:

We know that a flat line= 180° and ∠ABC is 90° which means 2x+2x+x=90°.

Therefore, 5x=90° so x=18°

18*3=54 so your answer is 54°

3x = 54°

The correct option is (C).

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points. The angle can also be represented by three letters of the shape that define the angle, with the middle letter being where the angle actually is (i.e.its vertex). Angles are generally represented by Greek letters such as θ, α, β, etc.

Given,

In the figure

∠CBA = 90°

and

∠CAB + ∠CBD = 180°

Putting the value by the given figure

90° + x + 2x + 2x = 180°

5x = 180° - 90°

5x = 90°

x = 90° / 5

x = 18°

⇒ 3x = 3 × 18°

⇒ 3x = 54°

Hence, the value of 3x = 54°

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Answer:

52xy is the answear. Hope it helps

Step-by-step explanation:

Answer:

it's going to be 52xy.

if any of you have the same, then that's fine.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

Width= 85

Length= 485

Step-by-step explanation:

The width will be x, and the length will be x + 400, since it is 400 more than the width.

We know that the perimeter of a rectangle can be found using the equation 2w + 2l.

We plug in the values we have found.

2(x) + 2(x+400) = 1140

4x + 800 = 1140

4x = 340

x = 85

Now we know the width, since it is simply x. To find length all we have to do is add 400.

400 + 85 = 485

Answer:

EF ≈ 35.4 yards

Step-by-step explanation:

to find EF use the sine ratio in the right triangle, that is

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{EF}{55}\) ( multiply both sides by 55 )

55 × sin40° = EF , then

EF ≈ 35.4 yards ( to the nearest tenth )

Answer:6

6

66

66

6

6

66

6

6

6

6

6

Step-by-step explanation:

6 sandies sir/ma'am have fun

True, Logarithms were used extensively for complicated calculations before the electronic calculator became widely available. A logarithm is a mathematical function that helps simplify complex arithmetic operations by converting multiplication and division into addition and subtraction, respectively.

By using logarithms, complex calculations could be broken down into simpler steps and performed more easily. Logarithms were particularly useful in fields such as astronomy, physics, and engineering, where large numbers and complicated formulas were common. However, with the advent of electronic calculators, the use of logarithms for everyday calculations declined. Today, logarithms are still used in certain fields and for specific applications, but they are no longer the primary tool for carrying out complicated calculations.

Before the electronic calculator became widely available, logarithms were used to carry out complicated calculations. Logarithms simplified complex calculations by turning multiplication and division operations into addition and subtraction.

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No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is

(m+5)(m-9)=0

Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

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The statement is False

First understood what is correlation  & what is regression ?

Correlation :When measuring the relationship between two continuous variables, such as a dependent and independent variable or between two independent variables, correlation analysis is used.

Regression :Assessing the link between the outcome variable and one or more factors is referred to as regression analysis. Risk factors and co-founders are referred to as predictors or independent variables, whilst the result variable is known as the dependent or response variable. In a regression analysis, the dependent variable is represented by "y" and the independent variables are represented by "x."

Regression and correlation have some distinct differences.

The quantity and strength of the relationship between two variables is displayed through correlation. The data points are not connected by a fixed line. To determine how much one variable changes when the other stays constant, you compute a correlation. When r is zero, there is no relationship. One variable increases as the other does when r is positive. One variable rises while the other falls when r is negative.

While correlation does not match a line, linear regression identifies the optimal line that can predict y from x.

When measuring both variables, correlation is employed, whereas linear regression is typically used when manipulating the variable x.

Why the given statement is false ?

The statement is  False because correlation does not imply causation. This means if X and Y are correlated we cannot conclude if X is response or explanatory or Y is response or explanatory...hence no clearly identification of which is explanatory or response is needed

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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By making linear equation for given graph, slope of line will be 9.75 which is the amount she makes in an hour i.e. E.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given she has a debt of $25 that will be y-intercept.

and as we can see from graph she earns $39 in 4 hours that means $9.75 in an hour which will be slope of line also, then the line will be represented as

y=9.75x-25  where x=hours worked and y=amount earned

hence,

         slope of line will be 9.75 which is the amount she makes in an hour.

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The options reasonable to his needs is 15 carbon black freshwater fish hooks and 3 vivd color spinnerbaits. they cost a combined 15 dollars, which Josh has.

or 9 carbon black freshwater fish hooks and 2 vivid color spinnerbaits. they cost a combined 9.55 dollars, which Josh has.

Answer:

Step-by-step explanation:

A truck drove 229.77 miles on 11.1 gallons of gas.

Find the mileage per gallon:

Find the distance can be driven on full tank:

Truck could drive in 16.8 gallons of gas

Answer:

134

Step-by-step explanation:

the "nth" term of a sequence means that you can plug in the term number to get the term value

so, if

  11n + 2 is the sequence

  11(12) + 2 is the 12th term

  132 + 2 is the 12th term

  134 is the 12th term

By plugging in the term "place" (1st, 2nd, 3rd, 4th, etc.) for the variable "n", we get a term value.

hope this helps!!

The 12th term of the sequence is 133

The nth term is given as:

Tn = 11n + 1

The 12th term is calculated as:

T(12) = 11(12) + 1

Evaluate

T(12) = 133

Hence, the 12th term of the sequence is 133

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Answer:

5:6

Step-by-step explanation:

Let's start by counting the amount of stars and circles...

Stars: 10

Circles: 12

Now, let's put them in a ratio:

\(\frac{10}{12}\\\text{Simplify}\\\frac{5}{6}\)

Therefore the ratio of stars to circles is...

5:6

Answer:

First number x = -0.6

Second number y = 18.66

Step-by-step explanation:

Let the first number = x

and Second number = y

Sum of two numbers is 18. We can write it in mathematical expression as:

\(x+y=18\)

5 times the number subtracted from 4 over 7 of the second number is 14. We can write it in mathematical expression as:

\(\frac{4}{7}y-5x=14\)

So, solving the equations simultaneously we can find value of x and y

Let:

\(x+y=18--eq(1)\\\frac{4}{7}y-5x=14--eq(2)\)

Finding value of x from equation 1 and put it in eq(2)

\(x+y=18\\x=18-y\)

Put in equation 2

\(\frac{4}{7}y-5(18-y)=14\\\frac{4}{7}y-90+5y=14\\\frac{4y-90*7+5y*7}{7}=14\\ \frac{4y-90*7+5y*7}{7}=14\\ \frac{4y-630+35y}{7}=14\\ \frac{39y-630}{7}=14\\39y-630=14*7\\39y-630=98\\39y=98+630\\39y=728\\y=18.66\)

So, Value of y= 18.66

Now finding value of x, By putting value of y in eq(1)

\(x+y=18\\18.66+x=18\\x=18-18.66\\x=-0.6\)

So, First number x = -0.6

Second number y = 18.66

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

\(\fbox{20.25}\)

To find her miles per hour, we need to divide the total miles by the total hours to find how many miles she drives in each hour.

\(162\div8\)

\(=20.25\)

ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

The solution of the given system of equations is as follows:

x = x y = y z = -4/3x - 10/9y + 68/27

w = -1/147

Let's solve the given system of equations:

4x + 12y - 7z - 20w = 263x + 9y - 5z - 28w = 36

Divide the first equation by 4 and the second equation by 3 we have:

x + 3y - 7/4z - 5/2w = 26/43x + 3y - 5/3z - 28/3w = 12

Now, multiply the first equation by 3 and subtract from the second equation:

3(1x + 3y - 7/4z - 5/2w = 26/4)3x + 3y - 21/4z - 15/2w = 39/4- (3x + 3y - 5/3z - 28/3w = 12)1/3z + 11/3w = 7/4

Now, solve for z:

z = 21w - 28/3By substituting the value of z in terms of w in the first equation we get:

1x + 3y - 7/4(21w - 28/3) - 5/2w = 26/4x + 3y - 147/4w + 7 = 13/2

Multiply both sides by 2, and we get:2x + 6y - 147/2w + 14 = 13

Therefore,2x + 6y - 147/2w = -1/2

Now, solving for w:{147}/{2w}= {-1}/{2}

w = -1/147

By substituting the value of w in the equation x + 3y - 7/4z - 5/2w = 26/4, we get:

1x + 3y - 7/4z - 5/2(-1/147) = 26/4x + 3y - 7/4z + 5/294 = 13/12

Multiplying both sides by 12, we get:12x + 36y - 21z + 5 = 39

Now, solve for z:

z = -{4}/{3}x - {10}/{9}y + {68}/{27}

Hence, the solution of the given system of equations is as follows:x = x y = y z = -4/3x - 10/9y + 68/27w = -1/147

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Answer:

-12x+10

Step-by-step explanation:

Answer:

-18x+20

Step-by-step explanation:

5-18x+15

group like terms

=-18x+5+15

Add the numbers: 5+15=20

= -18x+20

Answer:

Even if you achieve practical significance, it is possible to construct some tests that will not result in statistical significance (for instance if you, on purpose or by accident, use a sample in which you know there is no relationship), so practical significance does not imply statistical significance in every study