Find the final amount for an investment of 900$ earning 6% interest compound quarterly for 15 years

The cost price of pawpaw is 40 and the cost if the basket of mangoes is 1250.

Based on the information given, the equations to solve the question will be:

30p + 100m = 2450 .... i

1.3 × 40p - 30 p + 1.3 × 100m = 855 ..... ii

30p + 100m = 2450

12p + 30m = 855

Solving simultaneously, the price of pawpaw is 40 and the price of mango is 12.5.

Therefore, the cost of 100 basket of mangoes will be:

= 12.5 × 100

= 1250

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The repulsion between two negatively charged objects is an indication that the other object must be negatively charged. Thus, the correct answer is B: It has a negative charge.

This is due to the fact that like charges repel each other, while opposite charges attract each other. In this case, the negatively charged balloon repels the other balloon, indicating that the other balloon is also negatively charged. So, the correct answer is B).

The other options are incorrect. Option A is incorrect because both balloons cannot be positively charged as they would attract each other, not repel. Option C is incorrect because an uncharged object would not repel a negatively charged object. Option D is incorrect because a positively charged object would attract the negatively charged balloon, not repel it.

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Answer:

10 is the answer

Step-by-step explanation:

2(2) + 6

4 + 6

10

The equation takes into account the initial 480 units of distance covered in the first leg and the remaining distance (480 - t) covered in the second leg. By solving this equation, one can find the value of t, which represents the time taken for each leg of the journey.

To understand the equation 600t = 480(18 – t), let's break it down. The left-hand side of the equation, 600t, represents the total distance traveled in both legs combined, with 't' representing the time taken for each leg. The right-hand side of the equation, 480(18 – t), calculates the distance covered in the first leg (480) plus the distance covered in the second leg (480 - t).

The equation is derived from the concept of distance-speed-time relationship, where distance is equal to speed multiplied by time. In this case, the distance covered in each leg is represented by 480, and the time taken for each leg is represented by 't'. The remaining distance for the second leg is (480 - t), as the time taken for the second leg is subtracted from the total time of 18 (the total journey time).

By equating the two expressions, 600t and 480(18 – t), we are essentially saying that the total distance covered in both legs is equal to the sum of the distances covered in each individual leg. Solving this equation will yield the value of 't', providing the time taken for each leg of the journey.

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Answer:

7.8 * 10^7

Step-by-step explanation:

Group coefficients together and exponents together to multiply numbers in scientific notation.

( 7.8  *  1 )  ( 10 ^3  * 10^4)

Multiply  7.8 times 1.

7.8 * (10^3 * 10^4)

Use the power rule  a^m * a^n = a^(m+n) to combine exponents. So, add 3 and 4

7.8 * 10^7

hello     ,,,,,,,,,,,.,.,.,.,.,.,., can u  help me with my questions?

Option c. is the correct answer.

When the variance should be investigated.

A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.

While,

Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.

Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.

Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.

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Answer:

Somoeone knows the answer?

Step-by-step explanation:

In spherical geometry the based on (two dimensional) geometric objects that are located on a spherical surface

The statement that is true in plane geometry but not true in spherical geometry is statement option D.

D. Any two lines intersect in exactly one point

The reason why the statement is correct is given as follows;

Spherical geometry is the geometry that has basic concepts being the point and great circles where the basic concepts in plane geometry is the point and the line

Therefore, while in plane geometry, a unique line is determined by two points, in  spherical geometry, a unique great circle is determined by two non polar points (points not at the poles)

However, we have;

Therefore, the correct option is option D.

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The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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C)The greatest number is 8.2 × 10-3. It is 2,000 times greater than the smallest number.

In scientific notation, a number is written as the product of a number between 1 and 10 and a power of 10. The power of 10 tells us how many places to move the decimal point to the right (if the exponent is positive) or to the left (if the exponent is negative).

In this case, 8.2 × 10-3 means 8.2 × (10^-3) = 0.0082, 5.2 × 10-6 means 5.2 × (10^-6) = 0.0000052 and 4.1 × 10-6 means 4.1 × (10^-6) = 0.0000041.

To compare the numbers, we can compare the coefficient or the number in front of the 10 power. We can see that 8.2 is greater than 5.2 and 4.1. To check how many times greater the smallest number is, we can use the following formula: (greatest number / smallest number) = (8.2 / 0.0000041) = 2,000

Therefore, the greatest number is 8.2 × 10-3 and it is 2,000 times greater than the smallest number.

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]

On solving the provided question we cans say that quadratic equation - x^2-5x-4 = 0 and x = 1 , 3

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

quadratic equation -

x^2-5x-4 = 0

x(x-1) -3(x-3) =

(x-1)(x-3) = 0

x = 1 , 3

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The derivative of the given function is 80e^-t. By evaluating this expression at t=4, we get 80e^-4. When t = 4 the marginal cost is approximately $14.874 million.

C(t) = 120 − 80e^-t

dC/dt = 0 - (-80)(-e^-t)

= 80e^-t

80e^-4 ≈ 80(0.01832) [using e^-4 ≈ 0.01832]

≈ 1.4656

However, the question asks for the answer in millions of dollars

1.4656 / 1 million ≈ 0.014874

Rounding this to three decimal places, we get the answer as approximately $0.015 million or $15,000.

Therefore, the marginal cost when t = 4 is:

dC/dt | t=4 = 80e^-4

dC/dt | t=4 ≈ 14.874

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The complete question is:

A company's total cost, in millions of dollars, is given by C(t) = 120 − 80e^-t where t = time in years. Find the marginal cost when t = 4.

The Z-score for a person who is 34% below the mean in IQ is approximately -0.34.

To find the Z-score for a person who is 34% below the mean in IQ, we need to calculate the deviation from the mean in terms of standard deviations.

Step 1: Calculate the raw score for the person using the given percentage below the mean:

Raw score = Mean - (Percentage Below * Standard Deviation)

Raw score = 100 - (0.34 * 15) = 100 - 5.1 = 94.9

Step 2: Calculate the Z-score using the formula:

Z-score = (Raw score - Mean) / Standard Deviation

Z-score = (94.9 - 100) / 15 = -5.1 / 15 ≈ -0.34

Therefore, the Z-score for a person who is 34% below the mean in IQ is approximately -0.34.

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Answer:

4th one

Step-by-step explanation:

Answer: The triangles are not congruent.

Step-by-step explanation:

We are given that the two triangles both contain a congruent angle and two congruent sides. The triangles have two congruent sides with a non-included congruent angle among them.

However, because the two triangles only have two congruent sides, and the angle shared by each triangle is not included between the two sides, the triangle would be "congruent" by SSA, which is not a triangle congruency theorem or postulate.

Therefore, the two triangles are not congruent.

I hope this helps!

Answer:

Height of pole =

31 feet

Step-by-step explanation:

Here, we are to calculate the height of the pole.

Please check the attachment for diagrammatic representation of the question.

We use trigonometric ratio to calculate the length AC first.

The ratio to use here is Tan

This is because we have the adjacent and we want to calculate the opposite

Mathematically;

Tan of an angle = length of opposite/length of adjacent

Tan 40 = AC/30

AC = 30Tan 40 = 25.17 which is approximately 25 feet

The height of the pole is the length CE + AC

CE = BD = 6 ft since they are opposite sides of rectangle BCDE

The height of the pole is thus 6 + 25 = 31 feet approximately

Answer:

line L1 and line L2 passes L2.

The x-coordinate of the point where L2 meets the x-axis is (1, 4).

The equation of the straight line has its slope and given point.

The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line (x₀, y₀) is the given point.

First is to get the slope of the known line:

The standard equation of the line

y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 so,

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (2, 1) and m₁ = -1/2

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

open the parenthesis;

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence, the equation of the line L2 is 2y+x = 5

Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).

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Answer:

Step-by-step explanation:

Answer:

The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5

Step-by-step explanation:

The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)

The slope of line PQ is;

Slope = change in y ÷ change in x = \(\frac{6 - 0}{0 -- 3}\) = 2

The product of slopes of two perpendicular lines = -1

Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2

Taking another point (x,y) and point P(-3,0) the equation of line PR is;

Slope = \(\frac{y - 0}{x - -3} = -\frac{1}{2}\)

Cross-multiplying gives;

2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted units to the right.

Given that

Then

This means that the function is shifted to the left by 7 units

The correct answer is Option D

Answer:

203.67

Step-by-step explanation:

all those numbers are confusing, but this is what i get from the picture

triangle area formula = 1/2 base * height

rectangle area formula = L * W

AB = 1/2 base * height, = 1/2 * 9 * 4, = 18

ab is the same as AB                        =18

C = 8.1 * 4.5                                      = 36.45

D = 8.1 * 7.2                                        = 58.32

E = 8.1 * 9                                          = 72.9

added together = 203.67

Answer:

Estimated=189

Exact=190.026

Step-by-step explanation:

Estimated values

20.7 to nearest whole number= 21

9.18 to nearest whole number= 9

Product means multiplication

Estimated product of 20.7 and 9.18

=21×9

=189

Exact product of 20.7 and 9.18

=20.7 × 9.18

=190.026

It has 3 decimal places

Answer:

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,

is

✔ 189

.

The exact product of 20.7 and 9.18 has

✔ 3

decimal places.

Step-by-step explanation: Hope this helps(:

Answer:

13

_

30

Step-by-step explanation:

5                 2

_        -        _   This problem is a no go bc the denominators aren't the same.

6                 5

First you will need to find the common denominator. It is 30.

Next you will divide 30 by 6 and get 5. Now you know what to multiply the numerator by.

So, 6*5 is 30. 30 will now be your denominator. 5*5 is 25. 25 will be your numerator.

After you have done that you will move onto the fraction 2/5.

First, you will remember your common denominator, 30.

You will use that, and divide 30 by 5 and get 6. You now know what to multiply you numerator by. 2*6 is 12.

Your new problem looks like:

25                12                13

_         -        _                 _

30                30               30

13

_            Is in simplest form.

30

Hope this helps! Have a nice day/night!

The amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².

Surface area of a square pyramid = area of the square base + area of the 4 triangular faces = s² + 4(1/2bh).

We are asked to find the amount of wrapping paper that would be needed to wrap the gift box, which is the surface area of the gift box that has a square pyramid shape.

Given the following dimensions of the gift box:

s = 5.2 in.

b = 5.2 in.

h = 6.7 in.

Plug in the values into s² + 4(1/2bh):

Surface area of a square pyramid = 5.2² + 4(1/2 × 5.2 × 6.7).

Surface area of a square pyramid = 96.72 in.²

Therefore, the amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².

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Answer:

X

\( \frac{y2 - y1}{x2 - x1} - \frac{y - y1}{x - x1} \)

Step-by-step explanation:

in every point given put one as (x1, y1) and the other is (x2, y2)

simplify the formula and you'll get you linear equation

To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

Answer:

10.5/6 ?

Step-by-step explanation:

It makes the most sense to me...

<3 Enjoy,

    Dea