What is the amount of discount

What Is The Amount Of Discount

Answers

Answer 1

Answer: 26.40

Step-by-step explanation:


Related Questions

PLEASE ANSWER BOTH QUESTIONS!

Answers

The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

Dilating a line segment can change the length.Dilating a polygon can change the area.

What is a dilation?

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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A firm has an unlevered cost of capital of 10 percent, a cost of debt of 9 percent, and a tax rate of 34 percent. If it desires a cost of equity of 14 percent, what must its target debt/equity ratio be

Answers

The required target debt/equity ratio is 0.5 or 1:2.

To calculate the target debt/equity ratio,

Use the following formula,

⇒ Target D/E Ratio = (Target Equity / Target Debt)

First, we need to calculate the weights of equity and debt in the firm's capital structure.

We can use the following formula,

Weight of Equity = Equity / (Equity + Debt)

Weight of Debt = Debt / (Equity + Debt)

Since the firm is unlevered,

its capital structure consists only of equity.

Therefore,

The weight of equity is 1 and the weight of debt is 0.

Now we can use the weighted average cost of capital (WACC) formula to find the firm's current cost of equity.

The WACC formula is as follows,

WACC = (Weight of Equity Cost of Equity)

                        + (Weight of Debt Cost of Debt x (1 - Tax Rate))

Substituting the given values, we get:

⇒ 10% = (1 Cost of Equity) + (0 9% x (1 - 34%))

Solving for Cost of Equity, we get:

Cost of Equity = 10% - (0 9% (1 - 34%))

Cost of Equity = 10%

Since the firm desires a cost of equity of 14%,

we can set up an equation to solve for the target debt/equity ratio:

⇒ 14% = (1 / (1 + Target D/E Ratio)) 10% + ((Target D/E Ratio) / (1 + Target D/E Ratio)) 9% x (1 - 34%)

Simplifying the equation, we get:

⇒ 14% = 10% / (1 + Target D/E Ratio) + 0.0594 x Target D/E Ratio

Multiplying both sides by (1 + Target D/E Ratio), we get:

⇒ 0.14 + 0.14 Target D/E Ratio = 0.1 + 0.0594 Target D/E Ratio

Subtracting 0.0594 x Target D/E Ratio from both sides, we get:

⇒ 0.08 x Target D/E Ratio = 0.04

Dividing both sides by 0.08, we get:

⇒ Target D/E Ratio = 0.5

Therefore, the firm's target debt/equity ratio is 0.5 or 1:2.

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Leigh designs and conducts a computer simulation with 30 trials and uses the data from the stimulation to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of spins needed for a spinner divided into 6 equal sections labeled A through F on each letter at least once

Answers

The experimental probability that more than 10 spins are needed to land on each letter at least once is 75%

How to explain the probability

Experimental probability is a type of probability that is based on actual observations or experiments.

In experimental probability, the probability of an event occurring is calculated by conducting experiments and observing the outcomes. The probability of the event is then calculated by dividing the number of times the event occurred by the total number of trials or experiments.

In this case, experimental probability = number of times the event occurred / total number of trials

Experimental probability = 0.1 + 0.35 + 0.3 / 1

= 0.75 / 1

= 75%

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If 3² + 4² = c², then c equals

Answers

Answer:

The answer is 5

Step-by-step explanation:

c²=3²+4²

c²=9+16

c²=25

[tex] \sqrt{ {c}^{2} } = \sqrt{25} [/tex]

c=5

The value of c is :

↬ c = 5, c = -5

Solution:

First off, we should square the numbers:

[tex]\sf{3^2+4^2=c^2}[/tex]

[tex]\sf{9+16=c^2}[/tex]

[tex]\sf{25=c^2}[/tex]

Now I square-root each side :

[tex]\sf{5=c}[/tex]

[tex]\sf{-5=c}[/tex]

This means that :

[tex]\sf{c=5,\:c=-5}[/tex]

How did this happen? We should know that once we take the square root of a number, we end up with two solutions that are opposites of each other. This phenomenon is explained below.

When we square 5, we get 25. When we square -5, we also get 25.

So then, when taking the square root of 25, we get both 5 and -5. And now, we know why.

Hence, c = 5 and c = -5.

Find the arc length of the curve below on the given interval.
x=(y^4/4)+(1/8y^2) for 2<=y<=3

Answers

Answer:

[tex]\frac{4685}{288}[/tex]

Step-by-step explanation:

The explanation is attached below.

Kevin got the following scores on his math tests this semester.
85, 94, 98, 88, 85, 92, 97, 81
What is his mean score so far?
ANSWERED


What score will Kevin need to get on his next test to raise his mean score to exactly 91?

Answers

Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.

To find out what score Kevin will need to get on his next test to raise his mean score to exactly 91, we can use the formula for the mean:

mean = (sum of all scores) / (number of scores)

We know the current mean score is:

mean = (85 + 94 + 98 + 88 + 85 + 92 + 97 + 81) / 8

          = 89.5

To raise the mean to 91, we can set up the equation:

(85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x) / 9 = 91

where x is the score Kevin needs to get on his next test.

Multiplying both sides of the equation by 9, we get:

85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x = 819

Simplifying, we get:

710 + x = 819

Subtracting 710 from both sides, we get:

x = 109

Therefore, Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.

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What are the measure of angels 1 to 8

Answers

Let's just compare the angles to start - - - these are two parallel lines cut by another line (transversal), so there are a lot of equal angles.

Angles 1 and 5 are the same

Angles 2 and the 65 degree angles are the same.

Angles 4 and 8 are the same.

And 3 and 7 are the same.

There are even more similar angles:

1 and 3 are the same. 2 and 4 are the same.

5 and 7 are the same, and 8 and the 65 degree angle are the same.

So without any math, Angles 2, 4 and 8 are all 65 degrees.

So Angle 65 + Angle 5 = 180. Therefore Angle 5 = 115.

Therefore angle 7 is 115. (You could also say that 65+ Angle 7 = 180.)

Since angle 7 is 115, so is angle 3 and angle 1.

So in conclusion

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 7: 115

Angle 8: 65

Sam is training for a 5
km run. While training he runs for 6
minutes, then rests for 2
minutes, runs for 6
minutes, rests for 2
minutes, etc., until he finishes the 5
km. It takes him 26
minutes in total (with the rest periods) to finish the 5
km rum. If Sam runs at a constant speed (when he is not resting), what is this speed in kilometers per hour? (Recall there are 60
minutes in 1
hour.)

Answers

Answer:

15 km/h

Step-by-step explanation:

How many intervals of running and resting are needed to run and rest for 26 minutes?

Running is in parentheses, resting is not.

Each time he runs (6 minutes) and rests (2 minutes), he takes 8 minutes.

Three times this cycle is 24 minutes. He needs 2 more minutes of running to have a total of 26 minutes.

(6) + 2 + (6) + 2 + (6) + 2 + (2)

Add all the numbers in parentheses which are the times of running.

6 + 6 + 6 + 2 = 20

He ran for 20 minutes and rested for 6 minutes.

He ran 5 km in 20 minutes (of running).

speed = distance/time

speed = [5 km / (20 minutes)] × (60 minutes)/(1 hour)

speed = 15 km/h

Answer: 15 km/h

Ravi has two and one-fourth meters of rope. He gives ninety-three centimeters of the rope to his brother. How many centimeters of rope does Ravi have left?

Answers

If he gives ninety-three centimeters of the rope to his brother, Ravi has 132 centimeters of rope left.

Two and one-fourth meters of rope can be written as 2.25 meters. Since 1 meter is equal to 100 centimeters, we can convert 2.25 meters to centimeters by multiplying it by 100, giving us 225 centimeters.

If Ravi gives 93 centimeters of the rope to his brother, we can subtract it from the original length to find how much rope he has left.

225 cm - 93 cm = 132 cm

In general, to convert between meters and centimeters, you can multiply the number of meters by 100 to get the length in centimeters. To convert between centimeters and meters, you can divide the number of centimeters by 100 to get the length in meters.

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There are approximately as many boys between 167 and 169 as there are between 169 and 170. True False

Answers

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

In statistics, understanding and interpreting data is an essential skill. One way to interpret data is by analyzing the distribution of values within a certain range.

To determine whether the statement is true or false, we need to analyze the distribution of boy's heights between the two ranges. Assuming the heights of boys are normally distributed, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the percentage of boys within each range.

The empirical rule states that in a normal distribution:

68% of the values fall within one standard deviation of the mean

95% of the values fall within two standard deviations of the mean

99.7% of the values fall within three standard deviations of the mean

We can use this rule to estimate the percentage of boys within each range as follows:

Between 167 and 169: This range is one standard deviation below the mean. Therefore, approximately 68% of boys' heights fall within this range.

Between 169 and 170: This range is between one and two standard deviations below the mean. Therefore, approximately 27% of boys' heights fall within this range.

Based on this analysis, we can see that there are not approximately as many boys between 167 and 169 as there are between 169 and 170. In fact, there are significantly more boys between 167 and 169 than there are between 169 and 170.

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

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What is 50% of half of 10?

Answers

Answer:

2.5

Step-by-step explanation:

half of 10 is 10/2 = 5

so 50% of 5 is 2.5

- Darrell Morris has a family plan. The HMO annual premium is $12,240. The employer pays 90% of the cost.
a) How much is Darrell's annual contribution? b) How much is his semimonthly deduction?

Answers

Answer:The employer pays .90 * 12240 = $ 11016. The emplyee pays .10 *12240 = $ 1224 = annual contribution. Contribution rate = (100% - 90%) = 10%.

Step-by-step explanation:

Answer:

a) $1,224

b) $51

Step-by-step explanation:

a) To calculate Darrell's annual contribution, we need to determine the portion he pays out of the total premium.

Given that the employer pays 90% of the cost, Darrell is responsible for the remaining 10%.

Annual contribution = Total premium × 10%

= $12,240 × 0.10

= $1,224

Therefore, Darrell's annual contribution is $1,224.

b) To find Darrell's semimonthly deduction, we divide his annual contribution by the number of semimonthly periods in a year.

Number of semimonthly periods in a year = 12 (months) × 2 (semimonthly periods per month) = 24

Semimonthly deduction = Annual contribution / Number of semimonthly periods

= $1,224 / 24

= $51

Therefore, Darrell's semimonthly deduction is $51.

Hope this helps!

graphing stuff needs done soon

Answers

The value of x in each equation is:

a) x = -1

b) x = 3

c) x = 3

d) x = 9

e) x = -45

We have,

Substitute y = 2 in each equation.

a)

y = 6x + 8

2 = 6x + 8

2 - 8 = 6x

-6 = 6x

x = -1

b)

y = 2/3 x

2 = 2/3 x

x = 3

c)

y = -x + 5

2 = -x + 5

2 - 5 = -x

-3 = -x

x = 3

d)

y = 3/4 x - 2(1/2)

2 = 3/2 x - 5/2

2 + 5/2 = 3/2 x

9/2 = 3/2 x

x = 9

e)

y = 1.5 x + 11

2 = 1/5x + 11

2 - 11 = 1/5 x

-9 = 1/5 x

x = -45

Thus,

The value of x in each equation is:

a) x = -1

b) x = 3

c) x = 3

d) x = 9

e) x = -45

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There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?

Answers

8 people didn't use any of the gym pool or track facilities.

The number of people use any facilities need to subtract the total number of people who used at least one facility from the total number of people in the sport centre.

The total number of people who used at least one facility by adding the number of people who used each facility and subtracting the number of people who used two facilities and three facilities:

Total = Gym + Pool + Track - (Gym and Pool) - (Pool and Track) - (Gym and Track) + (Gym and Pool and Track)

Total = 77 + 62 + 65 - 27 - 23 - 31 + 4

Total = 127

The number of people who didn't use any facilities is:

135 - 127 = 8

8 people didn't use any of the gym, pool or track facilities.

The number of individuals who did not utilise any facilities must be subtracted from the total number of individuals who utilised at least one facility.

The total number of individuals who utilised at least one facility is calculated by adding the individuals who utilised each facility and deducting the individuals who utilised two and three facilities:

Total = Fitness Centre + Pool + Track - Fitness Centre and Pool - Fitness Centre and Track - Fitness Centre and Pool and Track

Total = 77 + 62 + 65 - 27 - 23 - 31 + 4

Total = 134-127

= 8

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

D because it has a scale factor of 2

Answer:

Polygon D is similar to polygon ABCD.


(PLEASE SHOW WORK EXPLAIN YOUR ANSWER!!!!)

After a party,Brad had leftover pizza. Brad had  1/2 of a cheese pizza . 3/4 of sausage pizza and 2/6 of a pepperoni pizza? How much leftover pizza did Brad have?

Part A: How much leftover pizza did Brad have?

Part B: Steve had 2/3 of a pizza how much more does bread have the Steven?

Answers

Part A:

To find out how much leftover pizza Brad had, we need to add up the fractions of each type of pizza:

1/2 cheese pizza + 3/4 sausage pizza + 2/6 pepperoni pizza

We can simplify the fractions by finding a common denominator:

1/2 = 3/6

3/4 = 4.5/6

2/6 = 2/6

Now, we can add the fractions:

3/6 + 4.5/6 + 2/6 = 9.5/6

This means Brad had 9.5/6 of a pizza leftover.

Part B:

Steve had 2/3 of a pizza. To compare this to Brad's leftover pizza, we need to convert Brad's leftover pizza to a fraction with the same denominator as 2/3:

9.5/6 = 9/6 + 0.5/6 = 3/2 + 1/12 = 19/12

Now we can compare:

19/12 - 2/3 = 38/12 - 8/12 = 30/12 = 2.5

This means Brad has 2.5 more pizzas than Steve.

A rectangular prism.
What are the shapes of the cross sections formed by a plane slicing the rectangular pyramid?





A plane intersects the pyramid parallel to its base. The cross section is a
._____


A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a
_________

Answers

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. A plane intersects the pyramid parallel to its base. The cross section is a rectangle  A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a triangle

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. Let's explore the two scenarios you mentioned:

Plane parallel to the base: When a plane intersects the rectangular prism parallel to its base, the resulting cross section is also a rectangle. The shape of the cross section will have the same dimensions as the base of the rectangular prism.

Plane perpendicular to the base and through the top vertex: In this case, the cross section will be a triangle. The shape of the cross section will be determined by the intersection of the plane with the three sides of the rectangular prism. The base of the triangle will be formed by the side of the rectangular prism, while the other two sides will be formed by the edges connecting the top vertex of the pyramid to the corresponding vertices of the base.

It's important to note that a rectangular prism is different from a pyramid. A rectangular prism has six rectangular faces, while a pyramid has a polygonal base (in this case, a rectangle) and triangular faces converging to a single point called the apex or top vertex.

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HELP PLEASE DUE IN 10 MIN

Answers

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

How to obtain the interquartile range?

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

First quartile: 0.25 x 18 = 4.5th element = median of 10 and 15 = 12.5.Third quartile: 0.75 x 18 = 13.5th element = median of 20 and 25 = 22.5.

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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18 ft 5in - 15 ft 6 in

Answers

2 feet 11 inches :))

f(x) = (x − a) (x − b)
f(x) = (x − a) (x −b) (x-c)
Describe the relationship between these equations and
their graphs.

Answers

The relationship between graph of functions is described below.

Since we can see that,

Both equations are quadratic functions, meaning that their graphs are parabolic.

The first equation,

f(x) = (x - a)(x - b),

It represents a parabola that opens upwards or downwards depending on the values of a and b.

If a < b,

the parabola opens upwards,

and if a > b, it opens downwards.

To graph f(x),

we can first find its x-intercepts by setting f(x) = 0,

⇒ 0 = (x - a)(x - b)(x - c)

This gives us three x-intercepts,

⇒ x = a, x = b, and x = c.

The value of c is important because it determines the direction in which the parabola opens.

If c is greater than both a and b,

the parabola opens upwards, and if c is less than both a and b,

the parabola opens downwards.

If c is between a and b, the parabola has a minimum or maximum point.

Now, we can find the y-intercept by setting x = 0,

⇒  f(0) = (0 - a)(0 - b)(0 - c) = -abc

This tells us that the y-intercept is -abc.

To graph the parabola, we can plot the x-intercepts and the y-intercept, and then use the shape of the parabola to connect the points.

If the parabola opens upwards, it will have a minimum point at the vertex, and if it opens downwards, it will have a maximum point.

The second equation, f(x) = (x - a)(x - b)(x - c),

represents a cubic function,

meaning that its graph is a curve with either a local minimum or maximum.

To graph f(x), we can use the same process as above to find the x-intercepts and y-intercept, and then use the shape of the curve to connect the points.

After plotting can see, the cubic function has two local minima and one local maximum.

It also has a point of inflection at x = (a + b + c)/3.

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Maurice ran 110 meters in 20.9 seconds. Yolanda ran 110 meters in 20.0 seconds. Who had the fastest time, Maurice or Yolanda?
A.Yolanda
B.Maurice
apex

Answers

Answer: I believe the answer is Yolanda.

Step-by-step explanation: Because Maurice ran 110 meters in 20.9 seconds, which is slower than Yolanda. Completing the race in 20 seconds is better than 20.9 seconds.

The answer is Yolanda
This is because 20 is faster then 20.9 meaning that Maurice took .9 of a second slower to cross the finish line then Yolanda did

When Mrs Munyai wanted to swim in her new pool, the temperature of the wate 19 °C and she said she would only swim if the temperature of the water was 25 °C temperature must increase by 6 °C. Calculate what the temperature change would be in °F. You may use the following formula: (°F-32) ÷ 1,8 = °C +​

Answers

The temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

[tex]\textdegree F = (\textdegree C * 1.8) + 32[/tex]

We need to calculate the temperature change of [tex]6 \textdegree C[/tex] in Fahrenheit:

[tex]\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8[/tex]

The temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

[tex]^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2[/tex]

[tex]^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77[/tex]

The current temperature of the pool is [tex]66.2 ^{\circ} F[/tex] and the desired temperature is [tex]77 ^{\circ} F[/tex].

Therefore the temperature needs to be increased by:

[tex]\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F[/tex]

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

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subtract the following measurements 450l 890ml from8700l 750ml​

Answers

The solution of expression after subtraction is,

⇒ 8249 L 860 ml

We have to given that;

Subtract measurements 450l 890ml from 8700l 750ml​

Now, WE can simplify as,

⇒ L      ml

8700    750

- 450     890

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

8249     860

Therefore, After subtraction we get;

⇒ 8249 L 860 ml

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Which of the following is a difference of perfect squares?

A). x^2+4
B). 9x^2-100
C). x^2-18
D). 4x^2+36

Answers

The difference of perfect squares is a special case in algebra where an expression can be factored as the product of two terms in the form (a^2 - b^2), where a and b are real numbers.

Among the given options, the difference of perfect squares is represented by:

D) 4x^2 + 36

This can be factored as:

4x^2 + 36 = (2x)^2 - 6^2

So, the answer is D) 4x^2 + 36.

The graph show the probability distribution of a
random variable.
What is the value of P(2 < X <5)?
O 0.30
O 0.35
O 0.40
O 0.45
0.3
0.25
0.2
0.15
0.1
0.05
1
Probability Distribution
2
3 4
S.
9.
N
B

Answers

The solution is : the value of P(2≤X≤5) is 0.50.

Here, we have,

given that,

The graph show the probability distribution of a random variable.

we know that,

The probability distribution of a random variable X is P(X = xi) = pi for x = xi and P(X = xi) = 0 for x ≠ xi. The range of probability distribution for all possible values of a random variable is from 0 to 1, i.e., 0 ≤ p(x) ≤ 1.

so, we have,

P(2≤X≤5)

=P(x=2)+ P(x=3)+ P(x=4)+ P(x=5)

= 0.2+ 0.1 +0.05+0.15

= 0.50

Hence, The solution is : the value of P(2≤X≤5) is 0.50.

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Given that log5 21 =m and log9 75= n show that log5 7 = 1÷2n-1(2mn-m-2)​

Answers

Answer: To show that log5 7 = 1/(2n-1)(2mn-m-2), we'll start by using logarithmic properties and the given information.

First, let's express log9 75 in terms of the base 5 logarithm, using the change of base formula:

log9 75 = log5 75 / log5 9

Next, let's simplify the expression inside the logarithm by breaking down 75 and 9 into their prime factors:

log5 (3^2 * 5^2) / log5 (3^2)

Now, using logarithmic properties, we can split the logarithm of a product into the sum of logarithms:

log5 (3^2) + log5 (5^2) - log5 (3^2)

Simplifying further, we have:

2 log5 3 + 2 log5 5 - 2 log5 3

The 2 log5 3 and -2 log5 3 terms cancel each other out, leaving:

2 log5 5

Now, let's substitute the value of m from the given information (log5 21 = m) into the expression:

2 log5 5 = 2 (log5 (5^2)) = 2(2 log5 5) = 4 log5 5 = 4m

Now, let's substitute the value of n from the given information (log9 75 = n) into the expression:

4m = 4(log5 5) = 4(1/2 log5 (5^2)) = 4(1/2 log5 25) = 4(1/2 log5 (5^2 * 5^2))

Using logarithmic properties, we can split the logarithm of a product into the sum of logarithms:

4(1/2 (log5 5^2 + log5 5^2)) = 4(1/2 (2 log5 5 + 2 log5 5)) = 4(1/2 (4 log5 5))

Simplifying further, we have:

4(1/2) (4 log5 5) = 4(2 log5 5) = 8 log5 5 = 8n

Finally, substituting the values of m and n into the expression:

log5 7 = 1/(2n-1)(2mn-m-2) = 1/(2(8) - 1)(2(4m) - m - 2) = 1/(16 - 1)(8m - m - 2) = 1/15(7m - 2)

Therefore, we have shown that log5 7 = 1/(2n-1)(2mn-m-2) = 1/15(7m - 2), using the given values of log5 21 = m and log9 75 = n.

SECTION B - Skills Analysis Question 8 Use the diagram to determine the sum of the series 1 + 3 + 5 + 7 + ... + (2n-1) in terms of n. Show your reasoning and explanation fully. n : [4]​

Answers

Answer:

weel you have to start by addition of tose numbers and after you're done with the addition if the numbers you do 2n-1 which is equal to n so you use this formula to solve it hope this helps

A ring was purchased in 2012 for $900the value of the ring increases by 7% each year, find the value of the ring in 2030. Round to the nearest cent

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The value of the ring in 2030 would be; 2,034

Given that the Purchase price of the Diamond ring= $900

Value of ring increase by 7% each year.

First find a number of the year between 2012 and 2040,

Time period= 2030 - 2012    

Time period of value appreciation is 18 years.

Now, finding the value of a diamond ring increased after 28 years.

The value of ring increased after 18 years= 900 x 0.07 x 18

∴ Increased value of diamond ring after 18years= $1,134

Next, Value of diamond ring after 18 years= 1,134 + 900

Hence, value of a diamond ring in 2030 is $2,034

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What is the central idea of Sowells speech Morality vs Sanctimoniousness

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Thomas Sowell's speech "Morality vs. Sanctimoniousness" addresses the distinction between genuine moral actions and the outward appearance of moral superiority.

What is the central idea ?

The keynote of his speech is to prioritize practical and fruitful measures over merely appearing sensible or righteous. According to Sowell, it is crucial to solve prevalent social problems with pragmatic, yet effective solutions instead of adopting self-righteous attitudes that lack meaningful outcomes.

Essentially, he opines that authentic ethical principles should be anchored in consideration for others' welfare and empirical evidence rather than being fueled by personal moral validation or pretentiousness.

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I’ll give brainliest pls help me my future is in risk rn.

Answers

Both containers hold the same amount of water.

Given are two solid figures, we need to compare which of them holds more water,

The container one has a base dimension of 3 ft × 180 in with height 90 in. and the second container has base dimension of 3 ft × 180 in with height 90 in.

To compare which container holds more water, we can calculate the volume of each container.

For consistency, let's convert all measurements to a single unit.

1 foot is equal to 12 inches, so the base dimensions of both containers can be expressed as

3 ft × (180 in + 3 ft × 12 in/ft) = 3 ft × 216 in

= 648 in × 648 in.

The volume of a container is calculated by multiplying the base area by the height.

Therefore, the volume of each container can be determined as follows:

Container 1:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Container 2:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Since the base dimensions and the height are identical for both containers, their volumes will also be the same.

Therefore, both containers hold the same amount of water.

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