Isabel is using the TVM Solver on her graphing calculator as shown below to determine how much she has to invest now in a saving account earning compound interest to have 14,200 in a certain number of years. According to what Isabell has entered in the TVM solver, with what frequency will the interest in the savings account be compounded?
Semiannually
Annually
Monthly
Quarterly

Both x and -y are negative, the negation of their product is positive, and the expression simplifies to xy.

In the expression -xy, the negative sign before xy indicates that the entire product of x and y should be negated. Let's break it down to understand the meaning and simplify it.

Since x > 0 and y < 0, x remains unchanged, but y is negated. This means that y becomes -y. Therefore, we have:

-xy = -x(-y)

In this case, both x and -y are negative. The negative sign in front of xy affects both variables, and the result is the negation of their product.

To simplify further, we can apply the rules of multiplying negative numbers. When we multiply two negative numbers, the result is positive. Therefore, -x multiplied by -y yields a positive value. Simplifying the expression, we get:

-xy = -x(-y) = xy

So, the simplified form of -xy is just xy. The negative sign in front of xy indicates that the product is negated, but since both x and -y are negative, the negation of the product results in a positive value.

In conclusion, the negative sign before xy indicates that the entire product of x and y should be negated. However, since both x and -y are negative, the negation of their product is positive, and the expression simplifies to xy.

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There are approximately 5 chocolate drinks in a pack.

To determine the number of chocolate drinks in a pack, we need to find the volume of each cylindrical can and then divide the total volume of the pack by the volume of each can.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.

Given that the height of the can is 4 inches and the diameter is 3 inches, we can calculate the radius as half of the diameter, which is 3/2 = 1.5 inches.

Plugging these values into the formula, we have:

V = 3.14 * (1.5)² * 4

V = 3.14 * 2.25 * 4

V = 28.26 cubic inches

Now we can calculate the number of chocolate drinks in a pack by dividing the total volume of the pack (141.3 cubic inches) by the volume of each can (28.26 cubic inches):

Number of chocolate drinks = 141.3 / 28.26

Number of chocolate drinks ≈ 5

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Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

The larger gear has rotated approximately 26.67 times when the smaller gear has rotated 20 times.

To determine how many times the larger gear has rotated when the smaller gear has rotated 20 times, we can use the concept of gear ratios.

The gear ratio is defined as the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. In this case, the larger gear has 20 teeth, and the smaller gear has 15 teeth.

The gear ratio is calculated as:

Gear Ratio = Number of teeth on larger gear / Number of teeth on smaller gear

In this case, the gear ratio is:

Gear Ratio = 20 / 15 = 4/3

This means that for every 4 rotations of the smaller gear, the larger gear completes 3 rotations.

Therefore, if the smaller gear rotates 20 times, we can calculate the number of times the larger gear has rotated as follows:

Number of rotations of larger gear = (Number of rotations of smaller gear) * (Gear Ratio)

Number of rotations of larger gear = 20 * (4/3)

Number of rotations of larger gear = 80/3

So, the larger gear has rotated approximately 26.67 times when the smaller gear has rotated 20 times.

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Answer:

Step-by-step explanation:

   1) -4 + 3x = 4x - 8

        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

                \(\sf \boxed{\bf x = 4}\)

2) -5x - 8 = 2

Add 8 to both sides

 -5x - 8 + 8 = 2 + 8

            -5x  = 10

Divide both sides by (-5)

            \(\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}\)

                 \(\sf \boxed{\bf x = -2}\)

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

     12r - 14 = 10 - 5r

Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

             12r  = 24 - 5r

Add 5r to both sides

        12r + 5r = 24

               17r = 24

Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

           3x = -9 - 2x

Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              \(\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}\)

Answer:

1) x = 4

2) x = -2

3) \(r= \frac{24}{7}\)   \((1\frac{7}{17})\)

4) \(x=-\frac{9}{5}\)  \((-1\frac{4}{5})\)

Step-by-step explanation:

hope this helps!!

(work shown in photo :)  )

Answer:

12^5

Step-by-step explanation:

36^5=3^5×x^5

36÷3=12

The equality given as x² = -x  is true when x = 0 and x = -1

From the question, the equation is given as

x^2=-x

Rewrite the equation properly as follows

So, we have

x² = -x

Add x to both sides of the equation

So, we have the following equation

x² + x = 0

Factor out x from the equation

This gives

x(x + 1) = 0

So, we have

x = 0 and x + 1 = 0

Solve for x

x = 0 and x = -1

Hence, the equality is true when x = 0 and x = -1

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Answer:

Step-by-step explanation:

5000000

+ 2000

5002000 (Answer)

From the given exponential function, we have that:

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem, the function is:

\(H(t) = 175(1.028)^t\)

When t = 5, we have that:

\(H(5) = 175(1.028)^5 = 201\)

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The error expression of  |A - N| in the given problem is: Absolute Error

The absolute error is gotten by subtracting the true value from the measured value. The answer is normally expressed as ± or with an absolute value sign. The absolute error equation is expressed as: Absolute error = |measured value - true value|

Relative error is defined as a measurement of error that depends on the absolute error of a measuring tool as well as a measured value. Relative error can thus be defined as a decimal or as a percentage.

Now, we are told that

A is an actual value.

N is near the value,

From the definition of absolute error, we can clearly state that |A - N| is known as absolute error.

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Using numerals instead of words. Consider this expression |m² - 7| + n² is given by 28.

Given is the expression |m² - 7| + n²

where m = -2 and n = 5

so putting value in the expression

⇒|m² - 7| + n²

⇒|(-2)² - 7| + 5²

⇒|4-7| + 25

⇒| -3| +25

⇒3 + 25

⇒28

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between.

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Answer:

Step-by-step explanation:

1) Use multiplication distributive property \((xy)^a=x^ay^a\)

= \(\frac{(x^4)^2y^2}{3}\)

2) Use Power rule \((x^a)^b = x^{ab}\)

= \(\frac{x^8y^2}{3}\)

Answer:

Step-by-step explanation:

9 bytes2

We cannot compute the percentage of variation in final exam scores, Without knowing the correlation coefficient or regression equation.

To determine the percentage of variation in final exam scores that is explained by the linear relationship with Internet instruction time, we need to calculate the coefficient of determination, denoted \(R^2.\)

R-squared is the proportion of the variance of the dependent variable (final grade) that can be explained in a linear regression model by the independent variable (internet class hours).

It ranges from 1, showing that the demonstration does not clarify the change, and 1 demonstrating that the demonstration clarifies all the fluctuation.

In case you've got as of now calculated the relationship coefficient (r) between Web class hours and last exam scores, you'll be able to calculate \(R^2\)as follows:

\(R^2 = r^2\)

Then again, once you've got the relapse condition, you'll be able to compute\(R^2\)the square of the relationship between the anticipated and genuine values ​​of the subordinate variable. 

\(R^2 = (SSR/SST)\)

where SSR is the sum of squared residuals (also called the explained sum of squares) and SST is the total sum of squares.

You cannot calculate \(R^2\)without knowing the correlation coefficient or the regression equation.

Therefore, we need more information on studies such as:  Using data or summary statistics,

to determine the value of \(R^2\)to determine the percentage of variation in final exam scores explained by a linear relationship with Internet instruction time.  

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The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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The value of the stock can be calculated by using the Gordon Growth Model. Gordon Growth Model The Gordon Growth Model is a technique that is used to value stocks using the present value of future dividend payments.

This model assumes that the dividends of the company will grow at a constant rate, and it takes into consideration the required rate of return of the investors. The formula for the Gordon Growth Model is given as follows: Stock Price = D1/(r-g)Where,D1 = Expected dividend in the next periodr = Required rate of returng = Growth rate in dividends Now, let's use the Gordon Growth Model to find the value of the stock in the given question. Dividend in the next period (D1) = Expected dividend * (1 + growth rate) = $2.48 * (1 + 3.15%) = $2.55Required rate of return (r) = 11.05%Growth rate in dividends (g) = 3.15%Stock price = D1/(r-g)= $2.55/(11.05% - 3.15%)= $30.95Therefore, the value of the stock is $30.95.Answer: The value of the stock is $30.95.

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On solving the question, the answer of given trigonometric question  is tanx-sinx.

This is due to the fact that trigonometry is still regarded as a very challenging and abstract branch of mathematics in comparison to other branches. When learning trigonometry, students frequently run into mistakes, misunderstandings, and barriers. A subfield of mathematics known as trigonometry studies how angles and length ratios relate to one another. Applications of geometry to astronomical research led to the field's emergence in the Hellenistic civilization during the third century BC.

cosecx(secx−1)−cotx(1−cosx)

= 1/sinx*1(1-cosx)/sinxcosx−cosx(1−cosx)/sinx

=((1−cosx)−sinxcosx(1−cosx))/sinxcosx

=sinxcosx(1−cosx)−cos^2x(1−cosx)​

=(1−cosx)(1−cos2x)/sinxcosx

=(1−cosx)×sin2^x/sinxcosx

=tanx(1−cosx)

=tanx−tanxcosx

=tanx−sinx/cosx×cosx

=tanx−sinx

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We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.

Answer:

Step-by-step explanation:

The first one

Answer: triangle F

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0

Thank me...........

In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

Option B is right choice.

In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.

This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.

This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.

This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.

Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.

Option B is right choice.

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The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

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Answer:

1 1/6

Step-by-step explanation:

the answer is 1 1/6

Answer:

for the first one, it is c. the second one is b

Step-by-step explanation:

Answer:

Angle X=64⁰ Angle W=68⁰ Angle Y=48⁰

Step-by-step explanation:

Let the measure of angle X be w⁰

Angles in a triangle add upto 180⁰

angle W= w+4⁰ angle Y = w-16⁰

w+w+4⁰+w-16⁰=180⁰

3w-12=180⁰

3w=192

w=64⁰

Angle X= 64⁰ Angle W=68⁰ Angle Y= 48⁰