What is the best method to use?2x - 3y = -1y =X - 1SubstitutionEliminationGraphing

The required retirement amount after 39 years is given as $546,870.03.

Given that,
To determine a retirement account based on a principal of $115811 compounded 4% quarterly after 39 years is worth.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Amount  = principal [ 1 + r%/4]³⁹ˣ⁴
Amount = 115811 [ 1 + 0.04/4]³⁹ˣ⁴
Amount = $546,870.03.

Thus, the required retirement amount after 39 years is given as $546,870.03.

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Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

3,098

Step-by-step explanation:

when you do the ,ath you will get it

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Step-by-step explanation:

Diameter (d) = 22 km

circumference(c)

= π d

= 3.14 * 22

= 69.02 km

Hope it will help :)

\(\therefore\) Leonel will play on his soccer field with a perimeter of 110 m.

Data to then substitute into the equation:

Before starting to solve, I will show you the formula for the perimeter of the rectangle:

\(\bold{ \: P= 2(a) + 2(b)}\)

We substitute equation:

\(\bf \: P = 2(15) + 2(40)\)

We multiply:

\(\bf \: P= 15 * 2 = 30\)

\(\bf \: P= 40 * 2 = 80\)

We add both resultants to obtain the perimeter:

\(\bf \: P= 80 + 30\)

\(\large\boxed{ \bf \:P = 110 \: m}\)

Rpt: Leonel will play on his soccer field with a perimeter of 110 m.

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

To find the total commission paid on the sale property for $45,000, we can break down the selling price into different ranges and calculate the commission for each range separately.

First, let's calculate the commission for the first range, which is 5% on the first $12,000:

Commission for the first range = 5% of $12,000 = 0.05 * $12,000 = $600

Next, let's calculate the commission for the second range, which is 3% on the next $15,000:

Commission for the second range = 3% of $15,000 = 0.03 * $15,000 = $450

Finally, let's calculate the commission for the third range, which is 1% on the remainder of the selling price:

Commission for the third range = 1% of ($45,000 - $12,000 - $15,000) = 0.01 * $18,000 = $180

Now, we can find the total commission by adding up the commissions from each range:

Total commission = Commission for the first range + Commission for the second range + Commission for the third range

Total commission = $600 + $450 + $180 = $1,230

Therefore, the total commission paid on the sale property for $45,000 is $1,230.

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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The evaluation of the expression using the order of operations, indicates the operations that come first as follows;

(5 + 5)² + 15 - 10 Parenthesis

40 ÷ 8 · 4  + 2; Division

4 - 2 + 3 · 5; Multiplication

(3² + 8) ÷ 7 - 5; Parenthesis

The order of operations is a rule that serves as a guide for the correct sequence of performing operations in an equation or expression.  

The evaluation expressions can be presented as follows;

First operation;

(5 + 5)² + 15 - 10

The order of operations, PEMDAS, indicates that we get;

1) Parenthesis first

2) Exponents

3) Multiplication and division

4) Addition and subtraction

Based on the above PEMDAS order of operation, the step that should be completed first is the operation within the parenthesis, which is the addition operation (5 + 5)

The correct option is; Parenthesis

Second expression;

40 ÷ 8 · 4 + 2

The operations in the expression are; division, multiplication, and addition

The order of operations indicates that division, which comes first, from the left, should be performed first. The correct option is therefore;

40 ÷ 8 · 4 + 2; division

Third expression;

4 - 2 + 3 · 5

The subtraction is the first operation from the left, but the order of operations, PEMDAS, indicates that the multiplication, 3 · 5 should be performed first, therefore;

Fourth expression;

(3³ + 8) ÷ 7 - 5

The parenthesis which comes first in the order of operations and first among the operations from left to right comes first

Therefore, the parenthesis comes first;

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Answer:

Your right it's C

Step-by-step explanation:

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Step-by-step explanation:

1 2 33

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Answer:

30,340 ft

Hope this helps.

Answer:

\((z+5)^{(3x+4)} = 9\)

Step-by-step explanation:

Tip: When \(log_{a} b = c\), \(a^{c} =b\) is also true.

\(log_{z+5} (9) = 3x+4\)   | Original equation

\((z+5)^{(3x+4)} = 9\)      | Use tip

Answer:

z+5 3(x+4

This is your answer.

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

Given that,

A circle has a circumference of 12 units and it has an arc of length 8/5 units.

We have to find what is the central angle of the arc in degree.

We know that,

Circumference =12 units

Arc length =8/5= 1.6 units

If the central angle is "θ" then the length of the arc is given by

Arc length= θ/360°×circumference

Substituting values,

1.6=θ/360°×12

θ=48°

Therefore, The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

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Answer:

94.85 rounded to the nearest tenth is 94.9

Answer:

A. Only points C and D

This is because they are on the x-axis, so if reflected, they stay in the same spot. It's like pushing your finger against a mirror. The mirror itself is in the same place, but your finger is reflected inside it  hope you enjoy the answer have a great day.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Evaluate c •bc/4 - (7-a) when

a=4,b=8,c=5

just Substitute the values

5• 8×5/4 -(7-4)

5•40/4 -(3)

5• 10-3

according to BODMAS

(5×10)-3

50-3

=47

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Answer:

Step-by-step explanation:

Since l and m are intersecting lines, they intersect at a point, say, P. Since l is parallel to p, and l intersects m at point P, angle LPQ (where Q is a point on m) is a corresponding angle to angle LPR (where R is a point on p). Therefore, angle LPQ and angle LPR are congruent. Similarly, since m is parallel to q, angle MPN (where N is a point on q) is congruent to angle MPO (where O is a point on m). Therefore, angle MPN and angle MPO are congruent.

Now, since l is parallel to p, and angle LPQ is congruent to angle LPR, we have angle LPQ + angle LPR = 180 degrees (because l and p are parallel lines, and this forms alternate interior angles). Similarly, since m is parallel to q, and angle MPN is congruent to angle MPO, we have angle MPN + angle MPO = 180 degrees (because m and q are parallel lines, and this forms alternate interior angles).

Adding these two equations, we get:

(angle LPQ + angle LPR) + (angle MPN + angle MPO) = 360 degrees

But since angles LPQ, LPR, MPN, and MPO are all angles of a quadrilateral formed by intersecting lines, their sum is equal to 360 degrees. Therefore, we can write:

360 degrees = 360 degrees

This is a true statement, and it follows from the fact that l is parallel to p, and m is parallel to q. However, this does not imply that any of the options a), b), c), or d) are necessarily true.

In fact, option d) "p is parallel to q" is not true, because if p and q were parallel, then angles LPQ and MPN would be congruent (since they are alternate interior angles), which would imply that angles LPR and MPO are also congruent (because their sum is equal to 360 degrees), which contradicts the fact that l and m intersect at point P.

Therefore, none of the options a), b), c), or d) are necessarily true, although we can derive a true statement from the given information.