1240 at 8% compounded annually for 3 years

Answer: answer down

Step-by-step explanation:

0.9   -15/30   -3 14/28

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

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

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

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

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

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

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

2 to 5 or 2:5

Step-by-step explanation:

Yes, Dan productivity is constant and slope is given as 3/2.

What is slope?

The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x.

Let we take one pair of point (4,6) and (2,3) and other pair of point is (6,9) and (0,0)

The slope between  (4,6) and (2,3)  is

m = y2-y1/x2-x1

m = 3-6/2-4

=3/2

The slope between (6,9) and (0,0)

m = 0-9/0-6

=3/2

Hence, both the slopes are equal, therefore his work is constant.

To know more about slope, visit:

https://brainly.com/question/28857060

#SPJ1

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

Learn more on residual values of a set of data here: https://brainly.com/question/31687998

#SPJ1

The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.

We are given that;

Angles VUW and ZXY are congruent.

Angles UWV and XZP are congruent.

Angles UVW and ZYX are congruent.

Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.

Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .

The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .

Therefore, the triangles UVW and XYZ are similar but not congruent.

Read more about Congruent Angles at; https://brainly.com/question/1675117

#SPJ1

Answer:

B. They are similar, but not congruent

For A it is 6240 / 20% for B it is 6240 x 15%

Answer: A. .20x640=128

                   128+640=768

B. .15x640=96

     640-96

Step-by-step explanation:

Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

The equation for relation of time with distance travelled is,

Substitute 800 for d in the equation to determine the time required for travelling 800 miles.

So airplane take 1.6 hours to travell 800 miles.

Answer: 1.6 hrs

Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

\(\frac{Δy}{Δx}\)

so  \(\frac{y - 0}{x - 0}\) = 13

cross multiply and you get

y = 13x

Answer:

Median: 3,3,4,5,6,7,10,11,12

Answer:

6

Step-by-step explanation:

We need to arrange the numbers 3, 11, 6, 5, 4, 7, 12, 3 and 10  in increasing order

3, 3, 4, 5, 6, 7, 10, 11, 12

Next, we need to find such a number so that it is middle one and hase equal amount of number on either side of it

median = 6

Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.

Answer:

6 apples per pie

Step-by-step explanation:

2x+7=19

x=# of apples per pie

Subtract 7 from both sides:

2x=12

Divide both sides by 2:

x=6

Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.

Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:

Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.

Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.

Back View: Move to the back of the object and draw what you see from that viewpoint.

Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.

Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.

Utilize the grid lines to maintain symmetry and precision.

Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.

Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.

For more questions Accuracy:

https://brainly.com/question/14523612

#SPJ8

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

Learn more about Income Tax here:

https://brainly.com/question/34135935

#SPJ2

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

Answer:

5.25 minutes

Step-by-step explanation:

For a dotplot to highlight significant data properties, the data set is too tiny.

A statistical graph or chart is referred to as a graphical illustration of statistical data. In order to make statistical information easier to grasp and analyze, a set of data is represented by statistical graphs.

In the field of statistics, graphs are used to illustrate the relationship between variables or the range of values for a particular variable or occurrence.

Considering the amount of unprovoked shark attacks that have occurred recently throughout the world.

70, 54, 68, 82, 79, 83, 76, 73, 98, 81.

A "dot plot" statistic displays a group of data points arranged on a fundamental scale. Quantitative, continuous, and univariate data are frequently represented using dot plots.

Therefore, the correct answer is option C. The data set is too small for a dot plot to reveal important characteristics of the data.

To learn more about statistical chart refer to:

https://brainly.com/question/12825788

#SPJ1

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

Learn more about Pythagorean Theorem at:

https://brainly.com/question/14930619

#SPJ1

Answer:

the answer is C my man. I believe so

Answer:

I believe it is C.

Step-by-step explanation:

Answer:

i can help just meassage me

Step-by-step explanation:

ok thak u

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

137°

Step-by-step explanation:

ACD = ACB+BCD

ACD= 75°+62°= 137°

Answer:

Angle ACD = ANGLE ACB + BCD

=75°+62

= 137°

9514 1404 393

Answer:

  1.5 in³

Step-by-step explanation:

Several formulas come into play:

  P = 4s . . . . . . . perimeter of square of side length s

  A = s² . . . . . . . area of square with side length s

  V = 1/3Bh . . . . volume of a pyramid with base area B and height h

__

Using the given numbers, we find ...

  (5.1 in) = 4s

  s = (5.1 in)/4

  A = ((5.1 in)/4)² = 1.625625 in²

  V = 1/3(1.625625 in²)(2.7 in) = 1.4630625 in³

The volume of the pyramid is about 1.5 cubic inches.

Answer:

875 students are enrolled in this year's freshman class after the first week of classes.

Step-by-step explanation:

Last year, there were 950 students.

This year, the class is 10% smaller. So it's number of students is 100 - 10 = 90% of last year.

0.9*950 = 855

Initially, this year class had 855 students.

During the first week, 20 enrolled.

855 + 20 = 875.

So

875 students are enrolled in this year's freshman class after the first week of classes.

Answer:

  1 1/2 miles

Step-by-step explanation:

The problem statement tells us Mara ran 4/5 of 1 7/8 miles.

The procedure usually recommended for multiplying mixed numbers is to convert them to improper fractions first. Doing that, we find the product to be ...

  \(\dfrac{4}{5}\times1\dfrac{7}{8}=\dfrac{4}{5}\times\dfrac{1\times8+7}{8}=\dfrac{4}{5}\times\dfrac{15}{8}\\\\=\dfrac{4\cdot3\cdot5}{5\cdot4\cdot2}=\dfrac{3}{2}=\boxed{1\dfrac{1}{2}}\)

Mara ran 1 1/2 miles.

Answer:

19.634954085

Step-by-step explanation:

Pipe Diameter = Height of the trench

Pipe Height = Width of the trench

V = Pi*r^2*L/ Pi*r^2*h

= 22/7 x (2.5/2)^2 x 4

= 19.634954085