Q.1 Write the algebraic expressions

(i) Three times p added to four times r

(ii) The difference of 2p and 3q when 2p is less than 3q

(iii) Two-thirds of x added to 2y [3]

help?!​

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

ok

Step-by-step explanation: i explain wait for sometime

The correlation between the sum of the first roll and the subsequent sums is likely to be quite low, because rolling 30 of the dice will produce a different outcome each time, and this will tend to obscure the relationship between the first roll and the subsequent rolls.

One way to estimate the correlation is to simulate the procedure using a computer program or a spreadsheet. This will allow you to generate a large number of rolls and see how the sum of the first roll is related to the subsequent sums.

Alternatively, you can try to reason about the problem mathematically. If you assume that the dice are fair and independent, then the probability of any particular outcome on a roll is the same for all rolls. In this case, the sum of the first roll is unlikely to be strongly correlated with the sum of the second roll, because the second roll is determined by the outcomes on a different set of dice.

It's also worth noting that the correlation between two variables is a measure of how much one variable tends to vary with the other. In this case, the sum of the first roll and the subsequent sums are likely to vary somewhat independently of one another, which would tend to reduce the correlation between them.

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Answer:

y = x + 1

Step-by-step explanation:

You can immediately read off the y-intercept from the graph:  (0, 1).  The slope of this line is negative.  Choosing two different points on this line leads to finding the slope of the line:  (0, 1) and (2, -1)  Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2.  Thus, the slope is m = rise/run = 2/2 = 1.

The slope-intercept equation of this line is therefore y = x + 1.

Answer:

y=-1x+1

Step-by-step explanation:

To find the slope, we can use rise (vertical) over run (horizontal).

m=rise/run

We can see that from the first point to the second point,  x increased by 2 and y decreased by 2.

The rise is -2 and the run is 2.

m=2/-2=-1.

The slope is -1.

Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)

This point is at (0,1), so b=1.

The y-intercept is 1.

This is the format for slope-intercept form: y=mx+b.

The slope-intercept equation is y=-1x+1.

Answer:

|x - 500| ≤ 20

Step-by-step explanation:

We can use the Poisson distribution to solve this problem.

Let X be the number of bags lost by the airline in a given day. Then, X follows a Poisson distribution with parameter λ = 2, since the airline loses an average of 2 bags each day.

The probability of losing exactly k bags on a given day is given by the Poisson probability mass function:

P(X = k) = e^(-λ) (λ^k) / k!

Substituting λ = 2, we get:

P(X = k) = e^(-2) (2^k) / k!

We can use this formula to calculate the probabilities for the requested scenarios:

(a) Probability of losing no bags on a given day (k = 0):

P(X = 0) = e^(-2) (2^0) / 0! = e^(-2) ≈ 0.1353

(b) Probability of losing at least 3 bags on a given day (k ≥ 3):

P(X ≥ 3) = 1 - P(X ≤ 2)

We can calculate P(X ≤ 2) as follows:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= e^(-2) (2^0) / 0! + e^(-2) (2^1) / 1! + e^(-2) (2^2) / 2!

≈ 0.4060

Therefore,

P(X ≥ 3) = 1 - P(X ≤ 2) ≈ 0.5940

(c) Probability of losing exactly 1 bag on each of the next 3 days:

Since the number of bags lost on each day is independent, the probability of losing exactly 1 bag on each of the next 3 days is given by the product of the individual probabilities:

P(X = 1)^3 = [e^(-2) (2^1) / 1!]^3 = e^(-6) (2^3) / 1!^3 ≈ 0.0048

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Answer:

b

Step-by-step explanation:

Answer:  If the original equation is y = 3x -4,  the slope is 3.

Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.

Step-by-step explanation:

In slope-intercept form, y =mx + b the coefficient of x, m is the slope.

Here 3 is that value.

It is very unusual to have two equal signs in a question about slope.

I am not sure what to do with the =8y + 1

Is this supposed to be another equation in the system, missing a term?

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

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Answer:

The equation is f = z - x

Step-by-step explanation:

The equation is

Given that

The total cost + online fee for one ticket is $32.25

Let us assume f be the cost of ordering each ticket online

Cost of each ticket be x = $24.95

And, the total cost = z = $32.25

Now the equation would be

x + f = z

So for f it would be

f = z - x

Answer:

(n)/(8)=(11)/(5)

Step-by-step explanation:

n

8

=

11

5

Multiply both sides of the equation by  

8

.

8

⋅

n

8

=

8

⋅

11

5

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  

8

.

Tap for more steps...

n

=

8

⋅

11

5

Multiply  

8

(

11

5

)

.

n

=

88

5

The result can be shown in multiple forms.

Exact Form:

n

=

88

5

Decimal Form:

n

=

17.6

Mixed Number Form:

n

=

17

3

5

Answer:x=2+2√3 OR x=2−2√3

Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.

Hope this helps

BRAINLIEST please?

Answer:

Option C, 1,080

Step-by-step explanation:

sum of the interior angles of the octagon,

(8-2)×180

= 6×180

= 1080

Answered by GAUTHMATH

The system of equations 2x + 5y = 1 and 3x - 4y = 2 has one solution.

A pair of equations system can be categorized as follows:

The system has no solution if the y-intercepts are varied but the slopes are the same.

The system has a single solution if the slopes are different.

The system has an endless number of solutions if the slopes and y-intercepts match.

The given system of equations are:

2x + 5y = 1

3x - 4y = 2

Write the equations in the standard form:

5y = -2x + 1

4y = 3x - 2

Here, the slope of equation 1 is -2 and the slope of equation 2 is 3.

We know that if the slope is different the system of equations has one solution.

Hence, the system of equations 2x + 5y = 1 and 3x - 4y = 2 has one solution.

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Answer:

80

Step-by-step explanation:

20+80=100

Answer:

20+ (80)= 100

Step-by-step explanation: the missing answer is 80. If you add 20 plus 80 it equals to 100.

Answer:

3× + 6

3+6=9

9×3=3

Finish

Answer:

3

(

+

2

)Step-by-step explanation:

Answer:

Step-by-step explanation:

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.

IQR = Q3 - Q1 = 65 - 59 = 6.

The data set does have one outlier, The value 77.

It is above the upper outlier limit of 74.

a)To find the quartiles, we first need to arrange the data in order:

55 56 57 59 60 60 61 62 62 62 63 64 65 65 77

The median is the middle value of the data set, which is:

Median = 62

To find the first quartile (Q1), we take the median of the lower half of the data:

Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58

To find the third quartile (Q3), we take the median of the upper half of the data:

Q3 = Median of {63, 64, 65, 65, 77} = 65

b)The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 65 - 58 = 7

c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.

Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5

Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5

Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.

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Answer:

Each person would get 1/5 of 3 segments.

Each person would get 3/5 of a segment.  

Step-by-step explanation:

(3) (1/5) = 3/5 segments

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

x>3

Step-by-step explanation: Plz mark brainliest- Lily ^_^

Answer:

4x - 5 > 7

<=> 4x > 12

<=> x > 12/4

<=> x > 3

4x - 5 》 7

<=> 4x 》 12

<=> x 》 3

The set X defined using set builder notation is X = {1, 2, 3}.

To determine the elements of set X, we need to find the values of 'a' that satisfy the given conditions.

Condition 1: a^2 + 3a - 4 ≥ 0 To find the values of 'a' that satisfy this inequality, we can factorize the quadratic equation: (a + 4)(a - 1) ≥ 0

The critical points are when (a + 4) = 0 and (a - 1) = 0. So, a = -4 and a = 1.

We can now create intervals based on these critical points: For a < -4, (a + 4) < 0 and (a - 1) < 0, so the inequality is not satisfied. For -4 ≤ a ≤ 1, (a + 4) ≥ 0 and (a - 1) < 0, so the inequality is satisfied. For a > 1, (a + 4) ≥ 0 and (a - 1) > 0, so the inequality is satisfied.

Condition 2: -6 ≥ a^2 - 5a Rearranging the inequality, we get: a^2 - 5a + 6 ≤ 0

We can factorize the quadratic equation: (a - 2)(a - 3) ≤ 0

The critical points are when (a - 2) = 0 and (a - 3) = 0. So, a = 2 and a = 3.

We can now create intervals based on these critical points: For a < 2, (a - 2) < 0 and (a - 3) < 0, so the inequality is not satisfied. For 2 ≤ a ≤ 3, (a - 2) ≥ 0 and (a - 3) < 0, so the inequality is satisfied. For a > 3, (a - 2) ≥ 0 and (a - 3) > 0, so the inequality is not satisfied.

Combining both conditions, we find that the values of 'a' that satisfy both conditions are 1, 2, and 3.

Therefore, the set X is X = {1, 2, 3}.

The set X defined using set builder notation is X = {1, 2, 3}.

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Answer:

I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs

Answer:

I think its 600 bc u multiply 20 by 30 cms to get the volume.

Step-by-step explanation:

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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simultaneous equations

To find the speed at which the rocket is climbing 9 seconds after liftoff, we need to calculate the derivative of the height function with respect to time.

Given that the height of the rocket is h(t) = 2t^2 ft, where t represents the time in seconds, we can find the derivative dh/dt to determine the rate of change of height with respect to time.

dh/dt = d/dt (2t^2)

      = 4t.

Therefore, the speed at which the rocket is climbing 9 seconds after liftoff is given by evaluating dh/dt at t = 9:

dh/dt at t = 9 = 4(9) = 36 ft/sec.

Hence, the speed of the rocket 9 seconds after liftoff is 36 ft/sec.

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Answer: (x, -y)

Step-by-step explanation: