Money is borrowed at 10% simple interest. After one​ year, ​$597.30 pays off the loan. How much was originally​ borrowed?

The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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Answer:

5x3=15

Step-by-step explanation:

Answer:

-0.39, -1/3, -28%, -0.265

\(3(4 - 2x) = - 2x\)

\(12 - 6x = - 2x\)

\(12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x\)

\(3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}\)

The equation is true when x = 3. Therefore the answer is D. 3

\( \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}\)

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

$3.50

Step-by-step explanation:

Step-by-step explanation:

500ml. × 3 times when you get that you multiple it by the days and then takeaway

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

answer:2700sec

Step-by-step explanation:

if 60 sec=min

therefore;60×45

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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1.) Over half of the iguanas measure 14 centimeters or more in length.

The assertion that is most supported by the data is, "More than half of the iguanas measure 14 centimeters or more in length." According to this claim, more than 50% of the iguanas are 14 cm or longer in length. The other two claims describe precise iguana lengths (12 centimeters and 11 centimeters or less, respectively), but they do not mention how common such lengths are in comparison to other lengths. Therefore, out of the available probability, the first statement is the one that is most illuminating and best substantiated.

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Complete question is :

At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?

Answer:

Step-by-step explanation:

$100x0.5x1=$5

The value of angle ABE is 52°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.

The sum of interior angle in a triangle is 180°

Angle EBD = 180-(90+27)

= 180-117

= 63°

angle ABE + EBD = ABD

ABE = ABD - EBD

ABE = 115-63

= 52°

Therefore the value of angle ABE is 52°

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Answer:

The first choice, a, is the correct graph.

Step-by-step explanation:

Graphed it on Desmos:

Answer:

Option A.

Step-by-step explanation:

I used graphing calculator (you can find by put mouse over calculator button on top left and click the option to the right.

Since it does not let you have 2 inequality symbols you need to graph

-8 < y+2x

and

y+2x ≤ 14

The area shaded by both inequalities is the answer which is the first graph or option A.

Answer:

67.87

Step-by-step explanation:

Answer: To find the value of x in the equation 9x + 8.0 = 12.7, we need to isolate x by getting it on one side of the equation and all the other terms on the other side. We can start by subtracting 8.0 from both sides:

9x + 8.0 - 8.0 = 12.7 - 8.0

9x = 4.7

Now we can divide both sides by 9:

9x / 9 = 4.7 / 9

x = 0.52

So the value of x in the equation is 0.52.

Step-by-step explanation:

hope this helps answer your question!

Answer:

165

Step-by-step explanation:

answer is given below

29/6 = 203/42

16/7 = 96/42

to make the denominator 42 we use common tables for this just multiplying .

Answer:

the fractions are 203/42 and 96/42

Step-by-step explanation:

\(for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} \)

can you provide a screenshot?

9514 1404 393

Answer:

  254 in

Step-by-step explanation:

The Law of Sines tells you ...

  g/sin(G) = h/sin(H)

  g = h(sin(G)/sin(H)) = 510 in(0.42262/0.84805)

  g ≈ 254.15

The length of g is about 254 inches.

The classifications of the number 7 are A. Natural, B. Whole, C. Integer and  D. Rational

The number is given as:

Number = 7

As a general rule:

Positive numbers without decimal points are integers

Also, the number can be regarded as natural numbers and whole numbers

Lastly, the number 7 can be represented as a fraction of two integres i.e. 7/1

This means that the number is a rational number

Hence, the classifications of the number 7 are A. Natural, B. Whole, C. Integer and  D. Rational

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Answer:

Step-by-step explanation:

4/mx

Answer:

Step-by-step explanation:

should be both line GJ and JK as well as line HK and JK

Answer:

Step-by-step explanation:

B {y |-2 < y < 2}

The conclusion is that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.

The test statistic for this hypothesis test can be calculated as follows:

t = (μ1 - μ2) / sqrt(s1^2 / n1 + s2^2 / n2)

Plugging in the values, we get:

t = (1090 - 485) / sqrt(403^2 / 5 + 382^2 / 8) = 4.36

Next, we need to find the critical value for a two-tailed test at a significance level of 0.10 using a t-distribution table or using a t-distribution calculator.

Using a t-distribution table or calculator, we find the critical value for a two-tailed test at a significance level of 0.10 and df = 9.57 is ±1.833.

Since the calculated t-value (4.36) is greater than the critical value (1.833), we reject the null hypothesis and conclude that there is evidence to suggest that the mean bumper repair cost is greater for small pickups than for small utility vehicles at a significance level of 0.10.

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(1) The junk Food Central Inc will incur a loss of $20,000 if they sell 12,000 boxes and a profit of $45,000 if they sell 25,000 boxes.

(2) At 20,000 boxes, the degree of financial leverage is 2, and at 25,000 boxes, it is 1.3.

(3)  The degree of combined leverage at 20,000 boxes is 20 and the  degree of combined leverage at 25,000 boxes is 7.2.

To calculate the profit or loss on 12,000 boxes, we need to first calculate the total cost of producing these boxes:

Variable cost per box = 50 lbs/box x $0.10/lb = $5/box

Total variable cost = $5/box x 12,000 boxes = $60,000

Total cost = Fixed cost + Total variable cost = $80,000 + $60,000 = $140,000

Revenue = 12,000 boxes x $10/box = $120,000

Profit/Loss = Revenue - Total cost = $120,000 - $140,000 = -$20,000

(negative sign indicates loss)

To calculate the profit or loss on 25,000 boxes, we can use the same formula:

Variable cost per box = 50 lbs/box x $0.10/lb = $5/box

Total variable cost = $5/box x 25,000 boxes = $125,000

Total cost = Fixed cost + Total variable cost = $80,000 + $125,000 = $205,000

Revenue = 25,000 boxes x $10/box = $250,000

Profit/Loss = Revenue - Total cost = $250,000 - $205,000 = $45,000

The degree of financial leverage is a measure of how sensitive a company's earnings per share (EPS) are to changes in its earnings before interest and taxes (EBIT).

It is calculated as follows:

Degree of financial leverage = EBIT / (EBIT - Interest expense)

At 20,000 boxes, the EBIT is:

Revenue = 20,000 boxes x $10/box = $200,000

Variable cost = $5/box x 20,000 boxes = $100,000

Fixed cost = $80,000

EBIT = Revenue - Variable cost - Fixed cost = $200,000 - $100,000 - $80,000 = $20,000

Degree of financial leverage = $20,000 / ($20,000 - $10,000) = 2

At 25,000 boxes, the EBIT is:

Revenue = 25,000 boxes x $10/box = $250,000

Variable cost = $5/box x 25,000 boxes = $125,000

Fixed cost = $80,000

EBIT = Revenue - Variable cost - Fixed cost = $250,000 - $125,000 - $80,000 = $45,000

Degree of financial leverage = $45,000 / ($45,000 - $10,000) = 1.3

The degree of combined leverage (DCL) is a measure of the sensitivity of a company's EPS to changes in its sales. It is calculated as follows:

DCL = Degree of operating leverage x Degree of financial leverage

The degree of operating leverage (DOL) is a measure of how sensitive a company's EBIT is to changes in its sales. It is calculated as follows:

DOL = Revenue / (Revenue - Variable cost - Fixed cost)

At 20,000 boxes:

DOL = $200,000 / ($200,000 - $100,000 - $80,000) = 10

DCL = 10 x 2 = 20

To calculate the DOL and DCL at 25,000 boxes, we can use the same formula:

DOL = Revenue / (Revenue - Variable cost - Fixed cost)

At 25,000 boxes:

DOL = $250,000 / ($250,000 - $125,000 - $80,000) = 5.55

DCL = 5.55 x 1.3 = 7.2

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