Suppose an account pays 2.5% interest that is compounded annually. At the beginning of each year, $10,000 is deposited into the account
(starting with $10,000 for the first year).
Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the
nearest dollar) after the seventh deposit is_
O $74,581
O $77,201
O $75,474
O $76,816

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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To solve this problem, we can use the formula:

Total = n(A) + n(B) + n(C) - n(A and B) - n(A and C) - n(B and C) + n(A and B and C)

where:

n(A) = number of people who liked Nepali

n(B) = number of people who liked English

n(C) = number of people who liked Hindi

n(A and B) = number of people who liked both Nepali and English

n(A and C) = number of people who liked both Nepali and Hindi

n(B and C) = number of people who liked both English and Hindi

n(A and B and C) = number of people who liked all three languages

From the given information in the problem, we have:

n(A) = 50

n(B) = 40

n(C) = 30

n(A and B) = 11

n(A and C) = 19

n(B and C) = 13

n(A and B and C) = 6

We can now substitute these values into the formula:

Total = 50 + 40 + 30 - 11 - 19 - 13 + 6

Total = 73

ANSWER: Therefore, there were a total of 73 people who liked at least one of the three languages.

Answer:

C. 27.3%

Step-by-step explanation:

The total number of people who ordered a sundae is 22.

The number of those who got crushed candy is 6.

To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.

Thus, 6 is approximately 27.3% of 22.

The point that is a solution to the inequality shown in this graph is  B. (0,5)

Inequality is part of equations solved without the use of the equality sign . Here the signs used are

From the graph, the shaded part which is the point above the line is the solution of the inequality.

examining the points shows that

represents the solution

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Answer:

Number of ways to chose rolls = 5,527,200

Step-by-step explanation:

Given:

Total number of films rolls (n) = 50

Selected number of films rolls (r) = 4

Find:

Number of ways to chose rolls.

Computation.

Permutation problem.

Number of ways to chose rolls = n! / (n! - r!)

Number of ways to chose rolls = 50! / (50! - 4!)

Number of ways to chose rolls = 50! / (46!)

Number of ways to chose rolls = 50 × 49 × 48 × 47

Number of ways to chose rolls = 5,527,200

The perpendicular line equation is y = -1/2x + 17/2. The parallel line equation is: y = 2x - 9.

Recall the following:

Parallel lines have the same slope value.

Perpendicular lines have slope value that are negative reciprocals to each other.

Given the equation of a line as, y = 2x - 2, the slope is 2. Therefore, we have:

Substitute m = -1/2 and (a, b) = (7, 5) into y - b = m(x - a) to find the perpendicular line equation:

y - 5 = -1/2(x - 7)

Rewrite in slope-intercept form:

y - 5 = -1/2x + 7/2

y = -1/2x + 7/2 + 5

y = -1/2x + 17/2

Substitute m = 2 and (a, b) = (7, 5) into y - b = m(x - a) to find the parallel line equation:

y - 5 = 2(x - 7)

y - 5 = 2x - 14

y = 2x - 14 + 5

y = 2x - 9

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Answer:

a)  ( 31.92 < μ < 33.88 )  

The confidence interval is not very different from the confidence interval given in the question

b) ( 31.74 ,  34.66 )

Step-by-step explanation:

n = 250

x ( mean ) = 32.9

std = 6.9

95% confidence interval

df = n - 1 = 250 - 1 = 249

a) construct confidence interval estimate

calculate for the margin of error

= \(t_{0.05/2} ,_{250-1} ( \frac{s}{\sqrt{n} } )\) ( using excel function:  T.INV.2T(0.025,249) )

= 2.255 ( 6.9 / 15.81 )

= 0.98

Hence the confidence interval for the population

= ( x - 0.98 < μ < x + 0.98 )

= ( 31.92 < μ < 33.88 )  

The confidence interval is not very different from the confidence interval given in the question

b) when n = 19

x = 33.2 and std = 2.6

margin of error = \(t_{0.05/2} ,_{19-1} ( \frac{s}{\sqrt{n} } )\) = 2.45 * ( 2.6 / 4.36 )  = 1.46

confidence interval

= ( 33.2 - 1.46 , 33.2 + 1.46 )

= ( 31.74 ,  34.66 )

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

-6a-48

Step-by-step explanation:

Answer:

-6a - 48

Step-by-step explanation:

distribute

-6 x a = -6a

-6 x 8 = -48

put the answer together

-6a - 48

The slope of another line is changed to 20 degree to keep the segments parallel.

According to the statement

We have given that the If ac is parallel to bd and m <5 is decreased by 20 degrees And we have to find that the how must m <2 be changed to keep the lines parallel.

So, For this purpose,

We know that the Slope or gradient of a line is a number that describes both the direction and the steepness of the line.

And here

The slopes of two lines will only same when these lines are parallel.

In other words, Only parallel lines have a same slope.

So, if slope of one line is decreased by 20 degree then we have to kept these line parallel. Then we have to decrease the slope of other line by 30 degree also.

So, The slope of another line is changed to 20 degree to keep the segments parallel.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

If ac is parallel to bd and m <5 is decreased by 20 degrees how must m <2 be changed to keep the lines parallel?

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To calculate Ms. Espino's total salary for the 3 months based on her commission from selling class-A and class-B securities, we need to determine the commission amounts for each type of security and then sum them together.

Commission from selling class-A securities:

Commission rate = 8%

Sales amount of class-A securities = $104,000

Commission = Commission rate * Sales amount

Commission = 0.08 * $104,000

Commission = $8,320

Commission from selling class-B securities:

Commission rate = 3%

Sales amount of class-B securities = $58,750

Commission = Commission rate * Sales amount

Commission = 0.03 * $58,750

Commission = $1,762.50

Now, let's calculate the total salary for the 3 months by summing up the commissions from both types of securities:

Total salary = Commission from class-A securities + Commission from class-B securities

Total salary = $8,320 + $1,762.50

Total salary = $10,082.50

Therefore, Ms. Espino's total salary for the 3 months will be $10,082.50 based on the commissions earned from selling class-A and class-B securities.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

Kevin

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.

To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.

So, let's assume that g(x1) = g(x2). Then, we have:

f(x1) = f(x2)

x1(x1-1) = x2(x2-1)

x1^2 - x1 = x2^2 - x2

x1^2 - x2^2 - x1 + x2 = 0

(x1 - x2)(x1 + x2 - 1) = 0

Since x1 and x2 are distinct, we must have x1 + x2 = 1.

But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.

To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.

So, let's solve the equation f(x) = y for x:

x(x-1) = y

x^2 - x - y = 0

Using the quadratic formula, we get:

x = (1 ± √(1 + 4y))/2

Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.

Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.

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meow meow hahaha

Answer:

y= -4/11x+58/11

Answer:

y= -4/11x+58/11

Step-by-step explanation:

C

that's the answer

enjoy

\(\boxed{\underline{\bf \: ANSWER}}\)⇨

\( \sf \frac{x}{27} = \frac{4}{9} \\ \)

Use the cross-multiplication method. Then,..

\( \sf \frac{x}{27} = \frac{4}{9} \\ \sf 4 \times 27 = 9x \\ \sf 108 = 9x \\ \sf 108 \div 9 = x \\ \boxed{ \bf \: 12 = x}\)

So, the correct value of x is 12 (option C.)

_____

Hope it helps.

Answer:

it's c because it's the missing value

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

(0, -14)

Step-by-step explanation:

Midpoint formula: \((x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\)

Answer:

Step-by-step explanation:

the first would be   _3  ,0

                                  5

and the second would be 0,3

Answer:

50 packs.

Step-by-step explanation:

Given the following data;

Length = 28 feet

Width = 25 feet

Pack of seeds = 14 ft²

Since Kevin's backyard is a rectangle, we would find its area.

Area of rectangle = length * width

Substituting into the equation, we have;

Area of rectangle = 28 * 25

Area of rectangle = 700 ft²

Now to find the amount of pack of seeds required to cover the backyard.

Amount of pack of seeds = 700/14

Amount of pack of seeds = 50 packs.

Answer:

Evaluate

30x + 160xn

Step-by-step explanation:

Answer:

Solution :

30x + 80x^2

Step-by-step explanation:

1) Distribute the outer term into the first by multiplying the numerical values and then the terms

2) Repeat for the second one.

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values