A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

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

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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Answer:

Given the values: 67,72,86,75,89,89,87 ,90 ,99 and 100.

To create a stem and leaf plot

We place the first digit in the Stem Column and the Second digit in the plot column.

Stem-and-leaf plot of the test scores

\(\left|\begin{array}{c|ccccccc}Stem&Leaf\\---&--&--&--&--\\6&7&\\7&2&5\\8&6&7&9&9\\9&0&9\\10&0\end{array}\right|\)

The stem and leaf plot enables us at a glance to see the values or range of the values that are most prevalent.

From the above stem and leaf plot, we can see that values in the range of 80-89 are most prevalent.

Answer:

Step-by-step explanation:

Let y represent the number of yellow sweatshirts sold. Then the total revenue is ...

  $11.95(25 -y) +$12.50(y) = $304.25

  $0.55y +$298.75 = $304.25 . . . simplify

  $0.55y = $5.50 . . . . . . subtract $298.75

  y = 10 . . . . . . . . . . divide by $0.55

  25-y = 15 . . . . the number of white sweatshirts sold

10 yellow and 15 white sweatshirts were sold.

Answer:

the answer is d

Step-by-step explanation:

I took the test on edge

Answer:

D

Step-by-step explanation:

have a good day /night :)

Answer:

the height is 4.2

Step-by-step explanation:

Answer

The distance is 13.4164078649987

Answer:

Angle b is 40 degrees

Step-by-step explanation:

(4x-16)+(X+1)=180

5x-15=180

   +15.  +15

5x=195

/5.  /5

x=39

39+1

40

Angle b is 40 degrees

Hopes this helps please mark brainliest

Answer:

∡B = 40°

Step-by-step explanation:

Supplementary angles sum 180°

Then:

(4x-16)+(x+1) = 180

4x + x - 16 + 1 = 180

5x - 15 = 180

5x = 180 + 15

5x = 195

x = 195/5

x = 39

∡B = x + 1

∡B = 39 + 1

∡B = 40°

The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Answer:

Step-by-step explanation:

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

The dimensions of the aquarium that minimize the cost of the materials are x = y = ∛-(2V/3) and z = ∛(3V/4).

To find the dimensions of the aquarium that minimize the cost of the materials, we need to find an equation that expresses the total cost of the materials in terms of the dimensions. Let's assume that the height of the aquarium is z, and the base has dimensions x and y.

Since the base is made of slate and the sides are made of glass, the cost C can be expressed as:

C = 3A₁ + A₂

where A₁ is the area of the base covered by slate, A₂ is the area of the sides covered by glass, and the factor of 3 in front of A₁ reflects the fact that slate costs three times as much as glass per unit area.

The volume V of the aquarium is given as V = xyz, so we can express one of the dimensions in terms of the other two, say z = V/(xy). Substituting this expression into the equation for C and simplifying, we get:

C = 3xy + 2xz + 2yz

To minimize C, we need to take the partial derivatives of C with respect to x and y, set them equal to zero, and solve for x and y. Doing so, we get:

∂C/∂x = 3y + 2z = 0

∂C/∂y = 3x + 2z = 0

Solving these equations for x and y in terms of z, we get:

x = -(2/3)z

y = -(2/3)z

Substituting these expressions into the equation for z in terms of V, we get:

z = V/((2/3)z * (2/3)z)

Simplifying this expression, we get:

z = ∛(3V/4)

Substituting this value of z into the expressions for x and y, we get:

x =∛ -(2/3)(3V/4) = ∛-(2V/3)

y = ∛-(2/3)(3V/4) = ∛-(2V/3)

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Answer:

C.

Step-by-step explanation:

Since mAB = mCD

So

3x+9 = 11x-71

9+71 = 11x-3x

80 = 8x

So

x = 10

Now

Arc AB = 3x+9

= 3(10)+9

= 39°

Answer:

If i understand this correctly. 96%

Step-by-step explanation:

45 + 25 + 20 + 6

lets do 25+ 20 first

25 + 20 = 45

45 + 45 = 90

90 + 6 = 96

Answer:

76800

Step-by-step explanation:

you should probably do the problem on your own as well

Answer:

y = -10x -6

Step-by-step explanation:

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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Answer:

line segment, it is a line with 2 end points

Answer:

1, b

Step-by-step explanation:

11/12 x 4/5

multiply the top and bottom

44/60 which is estimated to 1

Answer:

Q2= 1, Q3=9

Step-by-step explanation:

Answer: I’m not sure but I think the answer is $255

Step-by-step explanation:

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

y = 3x

Step-by-step explanation:

slope intercept form is y = mx + b with m as the slope and b as the y-intercept

to find the slope you can see where the line intersects at (1, 3) and (0,0) If you look at the graph you count up three spaces over one so the slope is 3

since the y-intercept intersects at (0,0) The y-intercept is 0 and you do not have to add that to the answer

Answer:

y=3x I think if not sorry

Step-by-step explanation:

have great evening,day,night,morning!

Answer:

1: 2 and $3.072

Step-by-step explanation:

According to the question, the data provided is as follows

10 half gallons

For this she paid $15.36

Based on the above information,

The ratio in fractional form is

= 1 ÷ 2

= 1 : 2

And, the cost of gasoline per gallon is

Since  half of 10 gallons is 5

And, the amount paid is $15.36

So, the cost of gasoline per gallon is

= $15.36 ÷ 5

= $3.072

Step-by-step explanation:

The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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Answer:

Since the slope is undefined, this is a vertical line. Vertical lines have no y-intercept. No y-intercept.

Step-by-step explanation:

hope this helped:)

Answer:

To write the equation of a line in slope-intercept form, we need to first find the slope of the line. The slope is a measure of the steepness of the line, and is calculated as the rise over the run between two points on the line. In this case, we can use the points (-6,-3) and (6,-7) to calculate the slope.

To find the slope, we first need to find the difference between the y-coordinates of the two points, which is -3 - (-7) = 4. We then need to find the difference between the x-coordinates of the two points, which is 6 - (-6) = 12. The slope is then calculated as the rise over the run, which is 4/12 = 1/3.

Once we have the slope, we can use the point-slope formula to write the equation of the line in slope-intercept form. The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, we can use the point (-6,-3) and the slope 1/3 to write the equation of the line.

The equation of the line in slope-intercept form is then y - (-3) = 1/3(x - (-6)), which simplifies to y + 3 = 1/3x + 2. This is the equation of the line that passes through the points (-6,-3) and (6,-7) in slope-intercept form.

Therefore, the correct answer is y + 3 = 1/3x + 2.

Step-by-step explanation:

Answer:

2.25or21/4

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Expression:

Simplify it in below steps:

Answer:

\(Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved\)

Answer:

Commutative Property.

Associative Property.

Distributive Property.

Identity Property.

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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