What is the length of the line segment shown in the image?

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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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

we conclude that the 'bait and switch' technique is not a promotional tactic used by a seller.

Hence, 'a' is the correct option.

Step-by-step explanation:

From the given options, the 'bait and switch' technique is not a promotional tactic used by a seller.

'Bait and switch' is a deceptive sale practice using which the sells try to attract (bait) the customers by offering attractive prices on certain items, but when the customers tend to go to the shop to buy the items, they witness the unavailability of the goods, or find the prices go higher compared to what they had been offered.

Now, since the customers are already present at the shop, the sellers try to pressurize the customer so that they could buy something else.

Therefore, we conclude that the 'bait and switch' technique is not a promotional tactic used by a seller.

Hence, 'a' is the correct option.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y intercept is 18

For qn 2 y intercept is -8

Answer:

1) Y intercept: 0, 18

x intercept: (-6, 0)

2) Y intercept (0, -8)

x intercept (-4, 0)

Step-by-step explanation:

y=3x+18

y intercept is when x=0

y=3(0)+18

y=18

So y intercept is 18, 0

X intercept is when y=0

0=3x+18

-18=3x

x=-6

So the x intercept is (-6, 0)

HELPFUL HINT: the equations are already in y=mx+b form, so b is the y intercept!

y=-2x-8

Y intercept (0, -8)

x intercept

0=-2x-8

8=-2x

-4=x

x=(-4, 0)

Answer:

-2/6

Step-by-step explanation:

Slope is the m in y = mx + b, while b is y-intercept.

Just by looking at it, you can see that the line has a negative slope becasue it's going downwards and to the right. You can also tell that the slope is in fact -2/6 because it goes downwards⬇ 2 units and to the right ➡ 6 units.

Remember rise/run, where rise is looking at the y-axis or vertical and run is the x-axis or horizontal.

Hope this helps :)

The slope of the line represented by the graph of a linear function is  -5/2

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

here, we have,

Given in a question a linear function that decreases from left to right passing through the coordinates A(0,3) and B(2, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c.

So, it represents a straight line.

The line passes through the points A (0,3) and  B (2, -2).

The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 3) / (2 - 0)

m = -5/2

Therefore, the slope of the line represented by the graph of a linear function is  -5/2.

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Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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I'll let h = ax, so the limit is

\(\displaystyle\lim_{h\to0}\frac{(x+h)^2-2(x+h)+1-(x^2-2x+1)}h\)

i.e. the derivative of \(x^2-2x+1\).

Expand the numerator to see several terms that get eliminated:

\((x+h)^2-2(x+h)+1-(x^2-2x+1)=x^2+2xh+h^2-2x-2h+1-x^2+2x-1=2xh+h^2-2h\)

So we have

\(\displaystyle\lim_{h\to0}\frac{2xh+h^2-2h}h\)

Since h ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of h in both numerator and denominator, then plug in h = 0:

\(\displaystyle\lim_{h\to0}(2x+h-2)=\boxed{2x-2}\)

Answer:

2x-2

Step-by-step explanation:

lim ax goes to 0   ( x+ ax)^2 -2 ( x+ax) +1 - ( x^2 -2x+1)

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

                                                    ax

Simplify the numerator  by foiling the first term and distributing the minus signs

 x^2+ 2ax^2 + a^2 x^2 -2x-2ax +1 -  x^2 +2x-1

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

                   ax

Combine like terms

2ax^2 + a^2 x^2 -2ax  

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

                   ax

Factor out ax

ax( 2x + ax -2)

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

     ax

Cancel ax

2x + ax -2

Now take the limit

lim ax goes to 0  ( 2x + ax -2)

                                  2x +0-2

                                   2x -2

Answer:

Glow bowling costs $0.75 more per game.

Step-by-step explanation:

\(friday \: night \\ \frac{5 \: games}{22.50 \: dollars} = \frac{1 \: game}{x} \\ \\ \frac{22.50}{5} = \frac{5x}{5} \\ \\ x = 4.5\)

\(saturday \: morning \\ \frac{8 \: games}{30 \: dollars} = \frac{1 \: game}{x} \\ \\ \frac{30}{8} = \frac{8x}{8} \\ \\ 3.75 = x\)

Then we just subtract: \(4.5 - 3.75 = 0.75\)

Answer:

f(10) = -300

Step-by-step explanation:

f(x) = -3x^2

f(10) = -3(10)^2

f(10) = -3(100)

f(10) = -300

Answer:

The perimeter is = 3 + 2 + 1 + 1 + 1 + 2 + 2 = 14

hence, The perimeter is 14.

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

What about congruency triangles i think you need a picture so we can see

Step-by-step explanation:

Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

=

1 1 1 1 1 1 1

5.00000000

-

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

The expected value of the proposition is $18.23.

Probability is a branch of mathematics that deals with the study of random events or outcomes. It is the measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. An event with a probability of 0 is impossible, while an event with a probability of 1 is certain to occur.

Given by the question.

Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

The probability of drawing a card with a value of five or less is:

4 cards with a value of 2 + 4 cards with a value of 3 + 4 cards with a value of 4 + 4 cards with a value of 5 + 4 aces = 20/52 = 5/13

The probability of not drawing a card with a value of five or less is:

1 - 5/13 = 8/13

The expected value of the proposition can be calculated as follows:

Expected value = (probability of winning * amount won) + (probability of losing * amount lost)

Expected value = (5/13 * $49) + (8/13 * (-$25))

Expected value = $18.23 (rounded to two decimal places)

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Answer:

Dividing 9 on both sides is the first step

Step-by-step explanation:

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

Answer:

1,300,000,000

Step-by-step explanation:

 78    300   000

 550  400   000

 648  700   000

1  277  400   000

To the nearest million

1,2 | 77 400 000            more than 4, so +1

1,300,000,000

Answer:

42 different sums

Step-by-step explanation:

There are normally 6 sides on a dice, and there are 7 cards, so you multiply 6 by 7, which gives you 42 different sums.

Answer:

y=3x-1

Step-by-step explanation:

y=mx+b

y=3x+b

y=3x-1

Answer:

B

y=2x+4

Step-by-step explanation:

The y-intercept is 4, as the line passes through the y-axis only once, and at (0,4)

The format of a linear graph is y=mx+b where m is the slope and b is the y-intercept.

You can already tell that B is the only one with the y-intercept of 4.

The slope can be calculated quite easily, as we will start from (0,4) and make our way up to the next easily discernible point. The next most easily point seen is (2,8) so we will use the slope equation to find the slope. The equation is more or less like y2-y1  over x2-x1.

The y2 and x2 would be the (2,8) point because that is the second point on the line we are using. The x1 and y1 would be the first point (0,4). Now we will fill in the equation, which will look like 8-4  over 2-0  which will be 4 over 2, simplified to 4/2 and 2/1, being equal to 2.

The slope/m will be equal to 2, so the equation will look like

y=2x+4

Hope this helps!

After converting Cartesian into polar form, ∂S = (3cost, 3sint, -3) at t=0→2π. So option d is correct.

In the given question, we have to find a parametrization of the boundary curve as with positive orientation if

1. S is the part of the surface of the paraboloid z = 6-X^2-y^2 above the plane z=-3 with a normal vector pointing upward.

a. (√6 cos(t), √6 sin(t), 0)

b. (√6 cos(t), √6 sin(t), -3)

c. (3 cos(t), – 3 sin(t), -3)

d. (3 cos(t), 3 sin(t), -3)

e. (3 cos(t), 3 sin(t),0)

The given paraboloid is z = 6-X^2-y^2 above the plane z=-3.

Now convert Cartesian form to the polar equation.

In polar form x=rcost, y=rsint z=z and x^2+y^2=r^2

Now z = 6-X^2-y^2

z = 6-(X^2+y^2)

z = 6-r^2

Now put z=-3

-3 = 6-r^2

Subtract 6 on both side, we get

-r^2 = -9Now r^2 = 9

Taking square root on both side, we get

r=3

Now x=3cost, y=3sint, z= -3

So ∂S = (3cost, 3sint, -3) t=0→2π

So option d is correct.

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If Jade is allowed to spend 2/5 of her $10 weekly allowance, then her weekly saving would be;

The results shows that she would need 4 weeks to save up for a Barbie car