Simplify the expression:
(14 - 3a) + (5a+4)
show work if u can

To calculate the interest earned over the first 5 years on a deposit of $750 with a 4% compound interest rate, we need to use the compound interest formula.

Compound Interest Formula: A = P(1 + r/n)^(nt) - P

Where:
A = final amount
P = principal amount
r = annual interest rate
n = number of times the interest is compounded per year
t = time in years

In this case,
P = $750
r = 4%
n = 1 (interest is compounded annually)
t = 5 years

Plugging these values into the formula, we get:

A = $750(1 + 0.04/1)^(1*5) - $750
A = $914.14

To calculate the interest earned, we need to subtract the principal amount from the final amount:

Interest earned = $914.14 - $750
Interest earned = $164.14

Therefore, the account will earn $164.14 in interest over the first 5 years.

The compound interest formula takes into account the interest earned on the initial deposit as well as the interest earned on the accumulated interest over time. This means that the interest earned in the later years will be higher than in the earlier years as the amount of interest earned on the accumulated interest increases.

The frequency of compounding also affects the amount of interest earned. In this case, since the interest is compounded annually, the interest earned will be lower than if it were compounded more frequently, such as quarterly or monthly.
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Answer:

1/4

Step-by-step explanation:

If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.

The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric expression:

= cos(75°)cos(15°)

As we know the trigonometric identity:

cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]

a = 75

b = 15

Plug the above values in the trigonometric identity:

cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]

cos(75)cos(15) = (1/2)[cos(90) + cos(60)]

The trigonometric ratio is the ratio of the pair of a right-angled triangle.

The value of cos90 = 0

cos60 = 1/2

cos(75)cos(15) = (1/2)[0 + 1/2]

cos(75)cos(15) = 1/4

Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

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Answer: Z'(-7;8)

suppose the coordinates of Z' is Z'(x,y)

we have:

\(\left \{ {{x=8.cos90-7.sin90=-7} \atop {y=8.sin90+7.cos90=8}} \right.\)

=> Z'(-7;8)

Step-by-step explanation:

Answer:

264 or x=264 if this is wrong i can correct it

Step-by-step explanation:

Answer:

74 square yards

Step-by-step explanation:

Area of rectangular garden:

                 l = 20 yds

                 w = 15 yds

     Area of the rectangular garden = l *w

                                                          = 20 * 15

                                                          = 300 square yards.

Area of the outer rectangle (rectangular garden and the sidewalk):

             length = 20 + 1 + 1 = 22 yds

            width   = 15 + 1 + 1  = 17 yds

       Area of outer rectangle = 22 * 17

                                               = 374 square yards

To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.

Area of the sidewalk = area of outer rectangle - area of sidewalk

                                  = 374 - 300

                                  = 74 square yards

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Answer:

-1/2 !

Step-by-step explanation:

This one, you can tell in negative because the line's direction goes down! Other than that, you can use RISE/RUN to figure out the slope, from any solid point on the line! Since you go up one and to the left two, the slope is -1/2!

I hope this helps, and I'm here if you need me! :)

Answer:

D

Step-by-step explanation:

Total slack is calculated by the late finish minus early finish and the late start minus the early start

Total slack is simply the amount of time taken for a task to be delayed before the project finish date is delayed. It can be positive or negative.

It is calculated as the calculated as the value of the Late Finish minus the Early Finish field, and the Late Start minus the Early Start field.

Total slack = Late finish - early finish + late start - early start

Thus, the total slack is calculated by the late finish minus early finish and the late start minus the early start.

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As per the given probability, there are 6760000 number of plates number are possible.

Probability:

In math, probability means the possibility of favorable outcome.

Given,

License plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times,

Here we need to find how many plates are possible.

Here we have given that, A license plate composed of 2 letters followed by 4 digits.

The first step is considering the letters in the plate.

Here we know that, the plate consists of 2 letters.

And in alphabets, we have 26 letters which start from A to Z.

Therefore, we can choose 2 letters from 26 letters in 26² ways.

Now, we considering the digits in the plate.

Here the plate consists of 4 digits.

And we have 10 digits which starts from 0 to 9.

Now we can choose 4 digits from 10 digits in 10⁴ ways.

Therefore, the number of possible plates is

=> 26² × 10⁴

=> 676 x 10000

=> 6760000

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Answer:

2.5

Step-by-step explanation:

\(y=20(0.5)^3\\\)

\(y=20(0.125)\)

\(y=2.5\)

Hope this helped! :)

Answer:

Step 3

Step-by-step explanation:

Given

\((5 - 2)^ 2 + 23 * 4\)

Required:

Determine the first step where she made mistake

Her Step 1:

\((3)^ 2 + 23 * 4\) --- This is correct because she solved the bracket first

Her Step 2:

\(9 + 23 * 4\) --- This is correct because she solved 3^2 as 9

Her Step 3:

\(9 + 9 * 4\) --- This is incorrect because 23 * 4 is not equivalent to 9 * 4

Hence, her first mistake is in step 3.

The correct expression would have been

\(9 + 92\)

Then

\(= 101\)

The final equation of the hyperbola is:

x² / 25 - y² / 144 = 1

The equation of the hyperbola with foci at (0, ±13) and vertices at (0, ±5) can be written in the form:

(x - h)² / a² - (y - k)² / b² = 1

Where (h, k) represents the center of the hyperbola. In this case, the center is at (0, 0) since the foci and vertices are symmetric about the origin.

Using the distance formula, we can determine the values of 'a' and 'b'. The distance between the center and each focus is equal to 'c', and the distance between the center and each vertex is equal to 'a'. In this case, 'c' is 13 and 'a' is 5.

Therefore, the equation of the hyperbola is:

x² / 25 - y² / b² = 1

To find the value of 'b', we can use the relationship between 'a', 'b', and 'c' in a hyperbola. The relationship is given by:

c² = a² + b²

Substituting the known values, we have:

13² = 5² + b²

169 = 25 + b²

b² = 144

b = 12

So, the final equation of the hyperbola is:

x² / 25 - y² / 144 = 1

This equation represents a hyperbola with foci at (0, ±13) and vertices at (0, ±5), centered at the origin (0, 0). The term 'a' represents the distance between the center and the vertices, and 'b' represents the distance between the center and the asymptotes of the hyperbola.

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The required number of points win by the player on correctly solve the puzzle are 1176.

Games referred to as "online" are those that are played through a computer network, most frequently the Internet. Online games can range from straightforward text-based games to those with intricate visuals and multiplayer virtual worlds.

Player is getting 12 points on correctly solving the puzzle,

He plays 98 puzzle games,

Total number of points

98(12)

= 1176 points

Thus, required number of winning points are 1176.

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The correct option is Simple Linear Regression. Simple Linear Regression is NOT considered to be a Time-Series method of forecasting. The other methods are Time-Series method.

Time-Series analysis is a technique for forecasting future values based on previous observations. It includes various methods such as Moving Average, Exponential Smoothing, Seasonality Analysis, and Multiplicative/Additive Decomposition. Simple Linear Regression, on the other hand, is a method of predicting the relationship between two variables through a straight-line equation. Therefore, it is not considered to be a Time-Series method of forecasting.

A moving average is a common Time-Series method that calculates the average of a specific number of past observations to forecast future values. Exponential smoothing, another popular Time-Series method, assigns more weight to recent observations than to older ones. Seasonality analysis and multiplicative/additive decomposition are also Time-Series methods that are used to analyze trends and patterns in data over time.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

There are 75% of red cars and blue cars if you add them together.

Hope this helps, please give me brainliest if I'm correct. ;)

Answer:

75 degrees

Step-by-step explanation:

let x unknown number

5x+10x+9x=180

24x=180

x=7.5

largest angle

10x

10×7.5=75

The median is not affected by an extreme value in the data set, while the standard deviation, range, and mean can all be influenced by extreme values.

An extreme value refers to a data point that significantly deviates from the other values in a data set. When considering the impact of extreme values, it is important to understand their effect on different statistical measures.

The median, which represents the middle value in a sorted data set, is not affected by extreme values. The median only considers the position of the data points and is not influenced by their actual values. Therefore, even if there are extreme values present, the median will remain unchanged.

On the other hand, the standard deviation, range, and mean can all be affected by extreme values. The standard deviation measures the dispersion of data points around the mean. Extreme values can significantly impact the spread of the data, leading to a larger standard deviation. The range, which is the difference between the maximum and minimum values in a data set, is directly influenced by extreme values. A single extreme value can greatly expand the range. Additionally, the mean, or the average of all data points, is sensitive to extreme values. Since the mean considers the actual values, extreme values can skew the average towards higher or lower values, depending on the nature of the extreme value.

Therefore, the correct answer is option c. The median is not affected by an extreme value in the data set, while the standard deviation, range, and mean can all be influenced by extreme values.

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Answer:

decay im pretty sure

Step-by-step explanation:

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer: its 41 dude

Answer:

1 1/3?

Step-by-step explanation:

The probability that the committee has a majority of women is approximately 0.0044.

To calculate the probability that the committee has a majority of women, we need to determine the number of ways we can select a committee with a majority of women and divide it by the total number of possible committees.

First, let's calculate the total number of possible committees. Since there are 63 senators in total (19 women + 44 men), we have 63 options for the first committee member, 62 options for the second, and so on.

Therefore, there are 63*62*61*60*59 = 65,719,040 possible committees.

Next, let's calculate the number of ways we can select a committee with a majority of women. Since there are 19 women in the NY Senate, we have 19 options for the first committee member, 18 options for the second, and so on.

Therefore, there are 19*18*17*16*15 = 28,7280 ways to select a committee with a majority of women.

Finally, let's calculate the probability by dividing the number of committees with a majority of women by the total number of possible committees:

287280/65719040 ≈ 0.0044.

In conclusion, the probability that the committee has a majority of women is approximately 0.0044.

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Answer:

9 scoops

Step-by-step explanation:

3 scoops = 45g

3/45 scoops = 1g

3/45*135 scoops = 135g = 9 scoops