Mr. Azu invested an amount at rate of 12% per annum and invested another amount, 580 ghana cedis more than the first at 14% . if Mr. Azu had total accumulated amount of 2,358.60, how much was his total investment? ​

Answer:

5/16.

Step-by-step explanation:

There are 12 marbles in the bag, 3 are red and 5 are yellow).

P(not red) =  (12/3)/12 = 9/12 = 3/4.

P(yellow) =  5/12.

P(not red then yellow) = 3/4 * 5/12

=  15/48

=  5/16.

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

No.

Step-by-step explanation:

It's simpler than you might expect.

If \((x - 4)\)  is a factor, then it means that it the function \(f(x) = x^3 - 2x^2 + 5x + 1\) can have \((x - 4)\) factorised out.

This means that we can say \((x - 4) = 0\)

Therefore \(x = 4\)

If we put \(x = 4\) into the equation:

\(f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53\)

We didn't get 0, therefore it isn't a factor!

Answer:

-7

Step-by-step explanation:

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

x=2sec

H=144m

Step-by-step explanation:

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

Answer:

the answer is 0.00945

Answer:

0.00945g/mL

Step-by-step explanation:

Divide the mass / volume value by 1000

Answer:

A.) 20h + 8

Step-by-step explanation:

Answer:

angle CAB = 85 degrees

Step-by-step explanation:

angle CAB = 1/2(265-95)

angle CAB = 85 degrees

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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Answer:

1st one x = BC/5 +9/5

2nd one x = AB/2 - 21/2

Step-by-step explanation:

Answer:

m∠WYZ = 23°

Step-by-step explanation:

Answer:

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Step-by-step explanation:

To find out how much more money Savannah would have in her account than Lincoln after 20 years, we need to calculate the future value of both investments using the appropriate interest rate and compounding period.

For Lincoln's investment:

Future value = $6,500 * (1 + (3^3/4/100) / 4)^(4*20) = $6,500 * (1 + 0.046875)^80 = $6,500 * 2.611 = $16,917.50

For Savannah's investment:

Future value = $6,500 * e^(0.041875*20) = $6,500 * 3.843 = $24,924.50

To find the difference between the two investments, we can subtract Lincoln's future value from Savannah's:

$24,924.50 - $16,917.50 = $8,007

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Answer:

100

Step-by-step explanation:

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Step-by-step explanation:

Total =180°

Top vertex=39°

2base angles=180-39

2base angles=141

base anglez=141/2

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

The probability of selecting a biography or a mystery is 0.8

We assume that all the books have the same probability of being randomly selected.

The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.

Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:

P = (7 + 9)/20 = 16/20 = 4/5 =0.8

The probability is 0.8

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer: G=36

Step-by-step explanation:

Step 1: Write out the equation
1/4g-3=6

Step 2: Add 3 to both sides
1/4g=9

Step 3: Divide both sides by 1/4, or 0.25
G=36

Answer:

\(\boxed {\boxed {\sf About \ 11 \%}}\)

Step-by-step explanation:

The formula for percent error is:

\(\% \ error = | \frac{measured \ value - actual \ value }{actual \ value} | *100\)

For this, the measured value is the estimation of 40 grams. The actual value is the true mass of 45 grams.

\(measured = 40 \ g \\actual = 45 \ g\)

\(\% \ error = | \frac{40 \ g - 45 \ g }{45 \ g } | *100\)

Solve the numerator.

\(\% \ error = | \frac{-5 \ g }{45 \ g } | *100\)

Divide.

\(\% \ error = | \frac{-5 \ g }{45 \ g } | *100\)

\(\% \ error = | -0.111111111| *100\)

\(\% \ error = 0.111111111*100\\\% \ error = 11.11111 \\\% \ error \approx 11\)

The percent error is about 11%

Answer:

x = 25

Step-by-step explanation:

28 - 3 = 25

Answer:

x = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

70000÷18=3888.88888889

280000÷3888.88888889=72

Or

140÷35=4

18x4=72