The value of your stock investment decreased by 23% after a stock market crash. What percentage increase in value would the stocks have to rise in order to return to the value they were before the stock market crash? Round your answer to the nearest tenth of a percent

1- A = 23.55

2- In the 7th payment, the interest is $50 and the principal is $193.55.

To find the value of A, we can use the formula for calculating the monthly payment on a loan. Given that you took a loan of $5000 for 24 months at an interest rate of 1% per month, we can substitute these values into the formula. By doing so, we find that A is equal to $23.55.

To determine the interest and principal in the 7th payment, we need to understand how loan payments are typically structured. Each monthly payment consists of both interest and principal components. Initially, the interest portion is higher, while the principal portion gradually increases over time.

In this case, we know the loan amount is $5000, and the loan term is 24 months. To find the interest and principal in the 7th payment, we need to calculate the remaining balance after the 6th payment.

To calculate the remaining balance after the 6th payment, we subtract the total amount paid from the initial loan amount. The total amount paid after 6 payments can be calculated by multiplying the monthly payment (A) by the number of payments (6). In this case, 6 * $23.55 equals $141.30.

Next, we subtract the total amount paid ($141.30) from the initial loan amount ($5000) to get the remaining balance, which is $4858.70.

Now, we can calculate the interest in the 7th payment. Since the interest rate is 1% per month, the interest for the 7th payment can be found by multiplying the remaining balance ($4858.70) by 1% (0.01), resulting in $48.59. Therefore, the interest in the 7th payment is $48.59.

To find the principal in the 7th payment, we subtract the interest ($48.59) from the monthly payment ($23.55). This gives us $174.96. However, we need to adjust the principal amount to match the remaining balance after the 6th payment. Therefore, we subtract the remaining balance after the 6th payment ($4858.70) from $174.96 to find the adjusted principal, which is $193.55.

In summary, in the 7th payment, the interest is $48.59 and the principal is $193.55.

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Answer:

$130.00

Step-by-step explanation:

674-284=390

390/3=130

what that person said :(

The correct answer is: O Neither; because the equation is not an exponential function.

The equation y = 900(1 - 0)5 can be simplified to y = 900(1)5 = 900.

In this case, the equation represents neither exponential growth nor exponential decay. It simply states that the value of y is constant and equal to 900. There is no change or growth/decay occurring over time or any other independent variable.

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Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8

p(x) × q(x)

= (3x² - x + 1) × (2x² + 3x - 2)

= 6x⁴ + 9x³ - 6x² - 2x³ - 3x² + 2x + 2x² + 3x - 2

= 6x⁴ + 7x³ - 7x² + 5x - 2

Answer:

cljbgahkbvjdnm

Step-by-step explanation:

Answer:

median, mode, and mode interval. please tell me if this is right.

Step-by-step explanation:

Answer:

1. ,2., and 4.

Step-by-step explanation:

Answer:

Here is the result:

(2, 3)      ↔      (2, 2)                     ∵ x = 2 is duplicated

(-5, 2)     ↔      (-5, 1)                     ∵ x = -5 is duplicated

(6, -5)     ↔      (6, 5)                     ∵ x = 6 is duplicated

(-1, 0)      ↔      (-1, 6)                     ∵ x = -1 is duplicated

Here, each matching pair has duplicated input values, so neither of them represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

We are given that we need to match the ordered pairs so that the relation defined by the set of ordered pairs does not represent a function.

Therefore, all we need is to match the ordered pairs which have the same input value as it would violate the relation to be function.

Here is the result:

(2, 3)      ↔      (2, 2)                     ∵ x = 2 is duplicated

(-5, 2)     ↔      (-5, 1)                     ∵ x = -5 is duplicated

(6, -5)     ↔      (6, 5)                     ∵ x = 6 is duplicated

(-1, 0)      ↔      (-1, 6)                     ∵ x = -1 is duplicated

Here, each matching pair has duplicated input values, so neither of them represents the function.

The unit tangent vector T(t) for the vector function r(t) = ⟨7t, 2cos(t), 2sin(t)⟩ is ⟨7/√(53), -2sin(t)/√(53), 2cos(t)/√(53)⟩. The unit normal vector N(t) is ⟨-2sin(t)/√(53), -7/√(53), 0⟩. The curvature κ(t) is equal to 1/√(53).

To find the unit tangent vector T(t), we differentiate the vector function r(t) with respect to t and then normalize the resulting vector. The derivative of r(t) is ⟨7, -2sin(t), 2cos(t)⟩. Dividing this vector by its magnitude gives us the unit tangent vector T(t) = ⟨7/√(53), -2sin(t)/√(53), 2cos(t)/√(53)⟩.

To find the unit normal vector N(t), we take the derivative of T(t) with respect to t and then normalize the resulting vector. The derivative of T(t) is ⟨0, -2cos(t)/√(53), -2sin(t)/√(53)⟩. Dividing this vector by its magnitude gives us the unit normal vector N(t) = ⟨-2sin(t)/√(53), -7/√(53), 0⟩.

The curvature κ(t) can be calculated using the formula κ(t) = ||dT/ds||, where ds is the arc length parameter. Since the vector function r(t) is parameterized by t, we can use the relationship ds/dt = ||dr/dt|| to find ds. In this case, ||dr/dt|| = √(49+4sin^2(t)+4cos^2(t)) = √(53). Therefore, κ(t) = 1/√(53).

Hence, the unit tangent vector T(t) is ⟨7/√(53), -2sin(t)/√(53), 2cos(t)/√(53)⟩, the unit normal vector N(t) is ⟨-2sin(t)/√(53), -7/√(53), 0⟩, and the curvature κ(t) is 1/√(53).

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The amount of money in account after 16 years will be $162,823.39. The solution has been obtained by using compound interest.

What is compound interest?

Compound interest considers the principal when determining the interest for the subsequent month, in contrast to simple interest, which does not. In algebra, compound interest is typically denoted by the letter C.I.

We are given the following information:

P = $72000

Rate (r) = 5.1% = 0.051

Time (t) = 16 years

Using the formula, we get

⇒V = P\(e^{rt}\)

⇒V = (72000) e⁰°⁰⁵¹ˣ¹⁶

⇒V = (72000) e⁰°⁸¹⁶

⇒V = $162,823.39

Hence, the amount of money in account after 16 years will be $162,823.39.

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The probability of outcome e4 is 0.1, which means the option (b). 0.100 is the correct answer.

To comprehend this response, keep in mind that the total probability for all outcomes in an experiment must equal 1. We now know the probability for e1, e2, and e3, which total 0.9 (0.2 + 0.3 + 0.4 = 0.9). Because the total of probabilities must equal one, we may remove 0.9 from one to get the chance of e4. As a result, the likelihood of e4 is 0.1 (1 - 0.9 = 0.1).

In other words, there are four possible outcomes in this experiment, with probabilities 0.2, 0.3, 0.4, and an unknown for e4. We may multiply the known probabilities by 0.9, leaving 0.1 for e4. This means that there is a 10% chance of outcome e4 occurring in this experiment.

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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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Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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The total amount Gino pay will be $756.32. Then the correct option is D.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Gino wants to purchase a phone that costs $643 and a case that costs $50.87.

Then the total number of case and phone will be

Total amount = $643 + $50.87

Total amount = $693.87

If the sales tax is 9%.

Then the total amount Gino pay will be

Total amount = $693.87 x 1.09

Total amount = $756.32

Then the total amount Gino pay will be $756.32.

Then the correct option is D.

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Answer:

B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation:

P1: 12^2+15^2=20^2  144+225=400  369=400

P2: 16^2+30^2=34^2  256+900=1156  1156=1156

P3: 20^2+21^2=29^2  400+441=841  841=841

P4: 18^2+20^2=26^2  324+400=676  724=676

So the answers are B and E

Answer:

b and e

Step-by-step explanation:

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer: x-y=2

Step-by-step explanation:

y+5=x+3; move variable (x) to the left-hand side and change the sign.

y-x+5=3; move the constant to the right-hand side & change the sign

y+x=3-5; reorder the terms

-x+y=3-5; calculate

-x+y=-2; change the signs on both sides

x-y=2 is your answer! hope this helps!

The inequalities represents the number of students the classroom can

accommodate is Number line C.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

A classroom can accommodate less than 24 students.

For less than we use the inequality as '<'.

let the x be the number of students than the condition is

x < 24.

Now, For '<' inequality the arrow should head towards left side of 24 which means for x= 23, 22, 21, .....

Thus, the number line for the situation is C.

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The probability of A and B, using conditional probability, is given as follows:

0.24 = 24%.

The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which the probabilities are listed and explained as follows:

To obtain the probability of A and B, the needed parameters are already given in the problem, and are as follows:

Hence the probability of A and B is calculated as follows:

P(A and B) = P(A) x P(B|A)

P(A and B) = 0.6 x 0.4

P(A and B) = 0.24.

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Answer:

Step-by-step explanation:

28 total students

12 are girls

16 are boys

the question is, what percent of 28 is 16

b/c that's how likely it would be to pick a boy in a random pick

16/28=0.571428

so about 57 %

or 57 out of 100

Answer: 16/28 or 8/14 or 57%

* they all are equal so it doesn’t matter with of the three you pick *

Steps:

28 - 12 = 16

16/28 = .5714

57.14%

57%

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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The slope of the line represents the rate of change between the independent variable (number of available staff) and the dependent variable (number of available staff) (wait time).

The slope of the line in this case is -1.62, which means that for every one unit increase in the number of staff available, the wait time decreases by 1.62 units.

In this case, a negative slope indicates that as the number of staff available increases, so does the wait time, indicating a positive relationship between the two variables. In other words, as the number of employees available increases, the wait time decreases.

It is important to remember that the equation models this relationship, and that actual wait times in the real world may not always follow this exact relationship due to other factors that influence wait times.

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Answer:

4858576

Step-by-step explanation:

so what do you 5th and I

The bottom row of John's triangle will have 8 cubes.

To find out how many cubes will be on the bottom row of John's triangle, we can use the formula for the sum of an arithmetic sequence, which is:

Sn = n/2(2a + (n-1)d)

Where:

Sn = the sum of the first n terms of the sequence

n = the number of terms in the sequence

a = the first term in the sequence

d = the common difference between terms

In this case, we can let a = 1, d = -1, and n = the number of rows in the triangle. We know that the sum of the first n terms of the sequence should be equal to the total number of cubes, which is 36. So we can set up the following equation:

36 = n/2(2(1) + (n-1)(-1))

Simplifying the equation, we get:

36 = n/2(n+1)

Multiplying both sides by 2(n+1), we get:

72 + 72n = n^2 + n

Rearranging the terms, we get:

n^2 + n - 72n - 72 = 0

Solving for n using the quadratic formula, we get:

n = 8 or n = -9

Since we're looking for a positive number of rows, the answer is n = 8.

Therefore, the bottom row of John's triangle will have 8 cubes.

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Answer:

i don't think you're in high school

#1. 15.84 (6.6 * 2.4)

#2 193.2 (27.6 * 7)

#3 B and E

Step-by-step explanation:

6.6 * 2.4

27.6 * 7

Answer:

No. of miles Jake rode today = 6.6×2.4 times

= 15.84 miles

1 gallon of gas = 27.6 miles

7 gallons of gas = 193.2 miles

Myla's car can go 193.2 miles with 7 gallons of gas.

All expressions except 7.33×6.

Answer:

382.5 in²

Step-by-step explanation:

2 triangles + 3 lateral sides

2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)

90 + 90 + 81 + 121.5

382.5 in²

Answer:

\(382.5 {in}^{3} \)

Step-by-step explanation:

hope this helps

The appropriate null and alternative hypotheses for the test are (A) H0: μ = 500,000; HA: μ ≠ 500,000. Correct option is A.

In hypothesis testing, the null hypothesis (H0) represents the assumption or claim that is initially presumed to be true. The alternative hypothesis (HA), on the other hand, represents the opposite or contrary claim to the null hypothesis. In this scenario, the realtor believes that the average price of a house is more than $500,000. Therefore, the null hypothesis would state that the population mean (represented by μ) is equal to $500,000 (H0: μ = 500,000). The alternative hypothesis would state that the population mean is not equal to $500,000 (HA: μ ≠ 500,000), indicating that the average price of a house could be either higher or lower than $500,000. This hypothesis setup allows for a two-tailed test, considering both possibilities of the average price being significantly higher or significantly lower than $500,000.

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Without additional information about the sample or population size, we cannot perform a hypothesis test to determine if there is sufficient evidence to support the mayor's claim.

If we assume that the sample size is large and the sample proportion is approximately normally distributed, we can use a z-test to test the hypothesis. The null hypothesis would be that the proportion of residents who favor annexation is equal to or less than 47%, and the alternative hypothesis would be that the proportion is greater than 47%.

The test statistic would be calculated as (sample proportion - hypothesized proportion) / standard error of the proportion. If the resulting p-value is less than 0.01, we would reject the null hypothesis and conclude that there is sufficient evidence to support the mayor's claim that over 47% of the residents favor annexation. However, if the p-value is greater than 0.01, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the mayor's claim.

In summary, additional information about the sample or population size is needed to determine if there is sufficient evidence to support the mayor's claim. If the sample size is large and the sample proportion is approximately normally distributed, we could use a z-test to test the hypothesis and determine if there is sufficient evidence to support the mayor's claim.

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Answer:

Step-by-step explanation:

A) Given the equation z - 5 = 2

To get the solution, we will add 5 to both sides and find z as shown;

z - 5 = 2

z - 5 + 5 = 2 + 5

z + 0 = 2+5

z = 7

Hence z = 5 is not the solution of the equation but z = 7

B) Given the inequality expression t+2>5

Substract 2 from both sides of the equation;

t+2 - 2>5 - 2

t + 0> 3

t>3

Hence the solution t = 4 is not true for the expression. The solution is t > 3

C) Given the expression  x-2=2, to get the solution to the expression, you will add 2 to both sides of the equation;

x - 2+ 2 = 2 + 2

x + 0 = 4

x = 4

Therefore x = 4 is the solution of this equation.

Based on the question, only Option C is correct