Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y

dy/dx = ?

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

2(7x-1)

Step-by-step explanation:

14 & 2 gcf 2 factor and wal lah!

Answer:

3rd Quadrant

Step-by-step explanation:

Hope the above solution will help you

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Part A: The path of the ball in relation to the curved path of the thrower

Part A: The path the ball takes is perpendicular to the hand, bat, or feet  at the point of last contact

Part A:

A real-world example of tangents is the direction of a ball immediately after it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction

The tangent is the path the ball takes immediately after it is moving without contact with the bat, hand, or feet that causes it to move.

The circular path is the motion of the hand, leg, bat, or feet that makes before the ball is released.

The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball

Part B:

The radius, such as the leg kicking a ball is perpendicular to the tangent which is the path of the ball because a kick sends the ball into the air, the orientation of the leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched.

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The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

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Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

Answer:

Please give brainliest

Step-by-step explanation:

c

The correct option is the second one, this function does not have an inverse.

A function y  = f(x) has in inverse only if the function is one-to-one.

That means that each output is linked to only one input.

In this case, we have an absolute value function:

y = |x - 2|

Notuice that if x = -2

y = |- 2 - 2| =4

And if x = 6

y = |6 - 2| = 4

So two inputs give the same outputs, thus, this function is not one-to-one, so it does not pass the horizontal line test, then it does not have an inverse.

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hello

the answer to the question is:

\( \sin(s) = \frac{tu}{x} \\ \sin(24) = \frac{22.5}{x} \\ x = 25\)

Inverse of function f(x) = 7x + 6 is

Given,

f(x) = 7x + 6

Now,

Put y in place of f(x)

y = 7x + 6

Now interchange the variables,

x = 7y + 6

Solve for variable y,

y = x/7 - 6/7

Replace y with f-¹(x),

f-¹(x) = x/7 - 6/7

Thus the inverse of the function is obtained to be x/7 - 6/7 .

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The value of f(4) for the piecewise function f(x) is found to be 23, hence, option A is correct answer.

The given function is a piecewise function which means it is defined by different formulas for different intervals of x. We need to evaluate f(4) using the formula that applies for the interval that contains 4. Since 4 is in the interval -3 ≤ x ≤ 4, we use the formula f(x) = 2x² - 9 for f(4). To find f(4), we substitute 4 for x in the formula,

f(4) = 2(4)² - 9

Evaluating 2(4)²,

f(4) = 2(16) - 9

Simplifying 2(16) - 9:,

f(4) = 23

Therefore, f(4) = 23. So, the correct answer is Option A.

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Complete question - Determine f(4) for A piecewise function

f(x) = x³ ____ x<-3

f(x) = 2x²-9 ____ -3 ≤ x≤ 4

f(x) = 5x+ ____ when x>4

A. 23

B. 24

C. 41

D. 64

Answer:

108 cube

Step-by-step explanation:

the volume of one cube is (1/3)^3 = 1 / 27

1/27X = 4

X = 108

Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

Answer:

f(x) = {x² if x < 2

5 if 2 ≤ x < 4}

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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The correct option is  \(r^{-42}\) is not equivalent to \((r^{-7} )^{6}\) .

Variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation can all be found in an algebraic statement. In many branches of mathematics, science, engineering, and finance, issues are represented and solved using algebraic expressions.

The expression \((r^{-7} )^{6}\) can be simplified using the rule of exponentiation which states that raising a power to another power involves multiplying the exponents. Applying this rule, we get:

\((r^{-7} )^{6}\)   = \(r^{-42}\)

Therefore, the expression  \((r^{-7} )^{6}\)  is equivalent to  \(r^{-42}\), which is the first option given.

Option 1:  \(r^{-42}\) is not equivalent to \((r^{-7} )^{6}\) .

Option 2: 1/ \(r^{-42}\) is also not equivalent to \((r^{-7} )^{6}\) .

Option 4: \(r^{-1}\) is also not equivalent to  \((r^{-7} )^{6}\) .

Therefore, the correct option is (a)  \(r^{-42}\).

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Answer:

A

Step-by-step explanation:

Answer:

It would be 16.25

Step-by-step explanation:

Hope it helped you brainiest plz

8 equals 16 fluid ounces

and if you add 1/4 + 16 it equals 16.25.

Answer:132 oz

Step-by-step explanation:

Answer:

answer is true because 27 is belong between 14 to 32 so, it true

Answer:

6.8 Gallons of gasoline costs $23.46

Step-by-step explanation:

You multiply 3.45 and 6.8 to get 23.46

Answer:

5.33 or 16/3

Step-by-step explanation:

if 1.5ft of snow melts to 2in

then 3ft of snow will melt to 4in

so if we follow the pattern 4.5ft of snow will melt into 6in

however, we need 4ft of snowmelt therefore it will have to be 5.33 or 16/3

Answer:

5.33 or 5 1/3

Step-by-step explanation:

Under normal condition, 1.5 feet of snow will melt into 2 inches of water.

As we know 1 feet = 12 inches

1.5 feet  = 12 × 1.5 = 18 inches

4 feet  = 12 × 4  = 48 inches

Now we use unitary method

∵ 18 inches snow will melt into water = 2 inches

∴ 1 inches snow will melt into water  =  inches

∴ 48 inches snow will melt into water = ×48

                                                             = 5.33 inches of water.

5.33 inches of water will there be when the snow melts.

Answer:

Mauna Kea has from the base that is to say the deepest 10 km of height that is to say 10,000 m which is equivalent to being higher than Mount Everest.jj

Step-by-step explanation:

 The main reason why we could say that Mauna Kea is the highest mountain, even surpassing Mount Everest, is because of its altitude if we compare them we see the difference; for example Mauna Kea from its base that is to say from the deepest the ocean measures 10,000 m of altitude, on the other hand the Mount Everest has an altitude of 8848 meters (29,029 ft) above sea level, that is to say from its base it measures 8848 m altitude.

Answer:

The answer is 2

From the function when the input is 2 the output is -7. The inverse reverses the order so the input will be -7 and the output will be 2.

Answer:

200

Step-by-step explanation:

Answer:

200 fish

Step-by-step explanation:

Since each tank has 40 fish and there are five tanks it's 40+40+40+40+40 or 5 X 40 giving you the answer of 200

Answer:

18 cars

Step-by-step explanation:

6 times 2= 12 boats

3 times 6= 18 cars

Hopefully this helps!

Answer:

He has 36 cars if there are 12 boats

Step-by-step explanation:

If he has 3 cars for every 2 boats he has then he would have 36 cars. You multiply 12 and 3 to get 36.

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

9514 1404 393

Answer:

  t = 3-√7 and 3+√7 seconds after launch

Step-by-step explanation:

You want to find the values of t that make h=10.

  10 = 30t -5t^2

  t^2 -6t = -2 . . . . . divide by -5

  t^2 -6t +9 = 7 . . . add 9 to complete the square

  (t -3)^2 = 7 . . . . . write as a square

  t -3 = ±√7 . . . . . . take the square root

  t = 3 ±√7 . . . . . . values of t for which height is 10 meters

__

These values are about 0.354 seconds, and 5.646 seconds.

Answer:

Let the width be "x"

Then the length is "2x".

-----

Equation:

Perimeter = 2(L + W)

177 = 2(2x+x)

88.5 = 3x

x = 29.5 ft. (width)

2x = 59 ft (length)

---

Step-by-step explanation:

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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