Your Office Supply has a $42,500 line of credit that charges an annual percentage rate of prime rate plus
3%. Their starting balance on March 1 was $10,600. On March 5, they borrowed $7,500. On March 14,
the business made a payment of $3,300, and on March 18, they borrowed $5,300. If the current prime
rate is 9%, what is the new balance?
O a. $27,583.43
O b.
$26,100.00
O c. $20,276.10
O d. $18,400.29
F

Answer:

\(1216 = 64 \times 19\)

64 is 4 cubed, and 19 is a prime number between 10 and 20.

Step-by-step explanation:

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

Answer:

9/16 <fraction    0.5625 <decimal   56.25%

Step-by-step explanation:

Answer:

Mean = 22

Variance = 13.1320

Standard Deviation = 3.6238

Step-by-step explanation:

From the question, we can deduce that

n = 55 (sample)

p = 39.4% (proportion of those within the given range)

Solving (a): Expected Value, E(x)

This is calculated using the following formula.

E(x) = np

Substitute values for n and p

E(x) = 55 * 39.4%

E(x) = 55 * 0.394

E(x) = 21.67

E(x) = 22 ---- Approximated

Hence, the expected number of people is 22

Solving (b): Variance (σ²) and Standard Deviation (σ)

σ² is calculated as thus:

σ² = np(1 - p)

σ² = 55 * 39.4% * (1 - 39.4%)

σ² = 55 * 0.394 * (1 - 0.394)

σ² = 55 * 0.394 * 0.606

σ² = 13.13202

σ² = 13.1320 ---- Approximated

σ is calculated as follows:

σ = √σ²

Substitute value for σ²

σ = √13.13

σ = 3.6238 ----- Approximated

PART 1

To traslate a point 4 units to the left, we substract 4 from the x-coordinate. Similarly, to traslate it 8 units up we add 8 to the y-coordinate.

This way, the rule for translating a point 4 units left and 8 units up is:

PART 2

Let's apply the traslation to each of the vertex:

This way, we can conclude that the new set of vertex is:

PART 3

By definiton, the rule to reflect a point over the y-axis is:

PART 4

We apply this transformation to each of the new vertex:

This way, we can conclude that the new set of vertex is:

PART 5

We can conclude that A HAS NOT returned to its original location.



Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

....

Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

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The two consecutive whole numbers that it lies between are 28 and 29.

The consecutive numbers are those number which follow each other continuously in the order from smallest to largest numbers.

Let the two consecutive numbers be x and x + 1

x + x + 1 = 57

Combine like terms;

2x + 1 = 57

Now Subtract 1 from both sides;

2x = 57- 1

2x = 56

Divide both sides by 2

x = 56/2

x = 28

Thus, x + 1 = 28 + 1 = 29

The two consecutive whole numbers that it lies between are 28 and 29.

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Answer: 3y + 4

Step-by-step explanation:

Question:  3(y - 1) + 7    

▪︎ BODMAS, (Brackets, of Division, Multiplication, Addition, Subtraction), therefore brackets come first. 3 multiply Y; 3 multiply ( -1 )

3y - 3 + 7

▪︎Now we group numbers with numbers then numbers and letters with numbers and letters.

3y    (-3 + 7)

▪︎In this question, since the positive number is bigger than negative number the answer takes the positive sign. You can also use a number line and count seven steps to the right.

Answer: 3y + 4

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

i believe 1-3-5

Step-by-step explanation:

Answer: the 2nd and 6th

Step-by-step explanation:

i did the test thing

Answer:

CI = ( 0,1433  ;  0,4067 )

Step-by-step explanation:

College of Engineering

sample size  n₁  =  200

sample proportion ( with laptop )    p₁ = 91/ 200   p₁ = 0,455  q₁ = 1 - p₁

q₁ = 0,545

College of Arts

sample size  n₂  =  100

sample proportion ( with laptop )    p₂ = 73/ 100   p₂ = 0,73  q₂ = 1 - p₂

q₂ = 0,27

CI = 98 %      significance level   α = 2 %  α = 0,02    α/2 = 0,01

From z-table we find z(c) for 0,01

z(c) = 2,328

CI = [  ( p₂ - p₁ ) ± z(c) * √ (p₁*q₁)/n₁ + (p₂*q₂)/n₂ ]

CI

[ ( 0,73 - 0,455 ) ±  2,328 * √ (0,455*0,545)/ 200  + ( 0,73*0,27)/100

CI = ( 0,275 ) ±  2,328 *√0,00123 + 0,001971

CI = ( 0,275 ± 2,328* 0,0566)

CI = ( 0,275 - 0,1317  ;  0,275 + 0,1317 )

CI = ( 0,1433  ;  0,4067 )

The values of the CI  for  the difference are always positive meaning that the proportion of students of Arts is greater than the proportion of students of Engineering

Answer:

It would be 2 1/12

Step-by-step explanation:

You would first change 1 2/3 to an improper fraction

5/3 ÷ 4/5

Then you would use Keep, Change, Flip (KCF) to get

5/3 x 5/4

Then multiply to get

25/12 then simplify to get

2 1/12

According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

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Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

The new y-intercept of the function is (0. -5)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2/3|x + 4}

y-intercept = (0. 4)

The function is translated by

9 units down

This is represented as

(x, y) = (x, y - 9)

Substitute the known values in the above equation, so, we have the following representation

New y-intercept = (0. 4 - 9)

Evaluate

New y-intercept = (0. -5)

Hence, the new y-intercept = (0. -5)

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Answer:

it would be 0.0125 i guess

Answer:

1250

Step-by-step explanation:

500000 / 400 = 1250

There is sufficient statistical evidence at 5% level of significance that there is   relationship between degree attainment and AGEKDBRN for women.

What is ANOVA model for men?

To ascertain whether there are any statistically significant differences between the means of three or more independent (unrelated) groups, the one-way analysis of variance (ANOVA) is used.

An n-way ANOVA allows a researcher to employ more than two independent variables (with n being the number of independent variables you have). For instance, any disparities in IQ scores can be investigated concurrently by country, gender, age group, ethnicity, etc.

Relationship between degree attainment and AGEKDBRN for women

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Answer:

Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:

d^2 = x^2 + y^2

Taking the derivative of both sides with respect to time, we get:

2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)

Simplifying this expression, we get:

dd/dt = (x(dx/dt) + y(dy/dt)) / d

Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:

dx/dt = v and dy/dt = -w

Substituting these values and simplifying, we get:

dd/dt = (v^2 + w^2)^0.5

Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.

To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:

d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5

Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.

Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:

d = (vt)^2 + ((t-1)w)^2)^0.5

Taking the derivative of both sides with respect to time, we get:

dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)

Simplifying this expression, we get:

dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)

Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.

The second derivative of the distance between you and your friend is given by:

d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)

Answer:

0.54666666666

Step-by-step explanation:

i don't know why but that is the answer

Rise over run. Or I believe. Like If I chose (-1,2) and (0,-1)  the rise or in this case since the line is going down, if I move down 4 units. I am one unit to the left of (0,-1) so 4/1 so rise/run

The equation of the line is y+2x+1 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

In the given graph,

Line intersect x-axis at -1/2

And intersect y-axis at -1

The points are (-1/2,0) and (0,-1)

The slope of the line m = -1-0/(0-(-1/2)) = -2

The required equation of the line that passes through the point (-1/2,0) and slope is -2,

y-0 = -2(x-(-1/2))

⇒y=-2x-1

⇒y+2x+1 = 0

The equation of the line is y+2x+1 = 0.

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Answer:

hmmm

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

Answer:

-3/4x

Step-by-step explanation: Since the line going top left to bottom right you know that it is a negative slope. Remember to do rise over run. It's easier if you start at a point like (1, -1) and then rise up 3 and run left 4.