HELP PLEASE

Lee puts $5,000 into a stock market index mutual fund That grew at an average of 6.5% per year for 10 years. Without any added deposits or withdrawals, about how much is in Lee's mutual fund account after only 8 years, if you ignore the come pounding?

Answer:

the answer is supposably 75900000

Answer:

The function g(x) = (x + 2)³ − 6 is obtained by applying three transformations to the parent function f(x) = x³.

First, g(x) is shifted 2 units to the left by subtracting 2 from x inside the parentheses:

g(x) = (x + 2 - 2)³ − 6 = (x)³ − 6

This shows that option C, "g(x) is shifted 2 units to the left and 6 units down," is not correct.

Next, g(x) is shifted 6 units down by subtracting 6 from the entire function:

g(x) = (x + 2)³ − 6 - 6 = (x + 2)³ - 12

This shows that option A, "g(x) is shifted 2 units to the right and 6 units down," is correct.

Finally, g(x) is not shifted left or right by any additional units, but it is shifted 2 units up by adding 2 to the constant term:

g(x) = (x + 2)³ − 6 + 2 = (x + 2)³ - 4

This shows that option B, "g(x) is shifted 6 units to the right and 2 units up," is not correct.

Therefore, the correct answer is option A: g(x) is shifted 2 units to the right and 6 units down.

Answer:

Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.

For Triangle 1, we have:

Side length = 12

Hypotenuse = 15

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 15^2 - 12^2

(Blank side)^2 = 225 - 144

(Blank side)^2 = 81

Blank side = 9

So, for Triangle 1, we have the following ratios:

Side length : Hypotenuse = 12 : 15

Side length : Blank side = 12 : 9

Hypotenuse : Blank side = 15 : 9

For Triangle 2, we have:

Side length = 4

Hypotenuse = 5

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 5^2 - 4^2

(Blank side)^2 = 25 - 16

(Blank side)^2 = 9

Blank side = 3

So, for Triangle 2, we have the following ratios:

Side length : Hypotenuse = 4 : 5

Side length : Blank side = 4 : 3

Hypotenuse : Blank side = 5 : 3

Therefore, the ratio of corresponding sides for the two similar triangles is:

Side length : Side length = 12 : 4 = 3 : 1

Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1

Blank side : Blank side = 9 : 3 = 3 : 1

Reducing each ratio to lowest terms, we get:

Side length : Side length = 3 : 1

Hypotenuse : Hypotenuse = 3 : 1

Blank side : Blank side = 3 : 1

So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

To find all values of x for which f(x) = 26, we can set up the equation:

8x + 15/x = 26

Multiplying both sides by x, we get:

8x^2 + 15 = 26x

Bringing all the terms to one side, we get:

8x^2 - 26x + 15 = 0

We can factor this quadratic equation using the factoring method or by using the quadratic formula. Here, we will use the factoring method:

8x^2 - 26x + 15 = 0

(4x - 3)(2x - 5) = 0

Setting each factor equal to zero and solving for x, we get:

4x - 3 = 0 OR 2x - 5 = 0

4x = 3 OR 2x = 5

x = 3/4 OR x = 5/2

Therefore, the values of x for which f(x) = 26 are x = 3/4 or x = 5/2.

The linear function can be written as:

f(x) = -x/3 + 17/3

A general linear function can be written as:

f(x) = ax + b

Where a is the slope, and b is the y-intercept.

If we know two points on the line (x₁, y₁) and (x₂, y₂), then the slope of the linear function is:

a= (y₂ - y₁)/(x₂ - x₁)

Here we know the pairs:

f(-4) = 7

f(5) = 4

So we have the points (-4, 7) and (5, 4), then the slope is:

a = (4 - 7)/(5 + 4) = -3/9 = -1/3

Then we can write:

f(x) = -x/3 + b

now we can use one of the given points, like f(5) = 4, replacing that there we will get:

4 = -5/3 + b

4 + 5/3 = b

12/3 + 5/3 = b

17/3 = b

So the function is:

f(x) = -x/3 + 17/3

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Answer:

Step-by-step explanation:

f Trevor used 2 lb 6 oz of a 5-lb bag of potatoes, then the weight of the remaining potatoes is:

5 lb = 80 oz (since 1 lb = 16 oz)

Remaining potatoes = Total potatoes - Used potatoes

Remaining potatoes = 80 oz - 2 lb 6 oz

Remaining potatoes = 80 oz - (2 × 16 oz + 6 oz)

Remaining potatoes = 80 oz - 38 oz

Remaining potatoes = 42 oz

Therefore, the remaining potatoes weighed 2 lb 10 oz (or 42 oz).

Answer:

To find the amount in the bank after 7 years, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A = the amount in the bank after 7 years

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

For the given problem:

P = $4000

r = 10% = 0.1

t = 7 years

a) Compounded Annually:

n = 1

A = 4000(1 + 0.1/1)^(1*7) = $7449.36

b) Compounded Quarterly:

n = 4

A = 4000(1 + 0.1/4)^(4*7) = $7650.13

c) Compounded Monthly:

n = 12

A = 4000(1 + 0.1/12)^(12*7) = $7727.27

d) Compounded Continuously:

n → ∞ (as n approaches infinity)

A = Pe^(rt) = 4000e^(0.1*7) = $8193.85

Therefore, the amount in the bank after 7 years increases as the compounding frequency increases. If interest is compounded continuously, the amount in the bank will be the highest.

Guitar tabs are generally considered easier to read than regular musical notation because they are written in a language that most guitarists are familiar with.

Guitar is a stringed musical instrument played with the fingers or a pick. It is one of the most popular instruments in the world and is widely used in genres such as rock, jazz, blues, country, folk, and classical.

Unlike traditional notation, guitar tabs do not require any knowledge of music theory to understand. Instead, they are laid out in a straightforward format that conveys the pitch of a note and the timing of when it should be played. This makes it easier for most guitarists to quickly learn a new piece of music without having to spend time studying the complexities of traditional notation. Additionally, guitar tabs also offer an easy way to determine the fingering of certain chords or techniques.
While guitar tabs are easier to read than traditional notation, they do have some drawbacks. For one, guitar tabs cannot convey the same level of detail about a piece of music as traditional notation can. Additionally, it can be difficult for some to distinguish between rhythm and lead parts when reading guitar tabs. Finally, guitar tabs do not easily convey the dynamics or expression of a piece of music, which are important to consider when playing music.

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Answer:

44 students

Step-by-step explanation:

1200 for the first year

a third of that is 400

400 for the second year

a third of that is 133.4

133.4 for the third year

a third of that is 44

Answer:

The answer is 96

Step-by-step explanation:

2*(26+22)

2*48

96

Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

Answer:

Step-by-step explanation:

34,05m my love

Answer:

The height of the tree is approximately 15.14 meters, rounded to the nearest hundredth of a meter.

Step-by-step explanation:

Let's call the height of the tree "h". We can use similar triangles to set up an equation involving Joseph's height, the length of his shadow, the height of the tree, and the length of the tree's shadow.

The two triangles we're interested in are:

Joseph's triangle: This triangle has a height of 1.75 meters (Joseph's height) and a base of x meters (the length of Joseph's shadow).

Tree's triangle: This triangle has a height of h meters (the height of the tree) and a base of 29.7 - x meters (the length of the tree's shadow).

Since the two triangles are similar, we can set up the following proportion:

h / (29.7 - x) = 1.75 / x

To solve for h, we can cross-multiply and simplify:

h * x = 1.75 * (29.7 - x)

h * x = 52.075 - 1.75x

h = (52.075 - 1.75x) / x

Now we need to find the value of x that makes the tips of the two shadows meet. From the problem statement, we know that x + 34.05 = 29.7, so:

x = 29.7 - 34.05

x = -4.35

This means that the tips of the shadows don't actually meet, but the problem is likely assuming that the tips of the shadows are very close together, so we can use the value x = -4.35 to approximate the height of the tree.

Substituting x = -4.35 into our equation for h, we get:

h = (52.075 - 1.75(-4.35)) / (-4.35)

h = 15.14

The side lengths of such a triangle with a leg length of 5 and angles of 45, 45, and 90 are not listed in any of the options.

The right angle is established when 2 straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol is used to indicate a right angle.

For the given question:

Triangle with degree angles - 45-45-90

It means two legs are of same length 5 units.

Then, hypotenuse H will be:

H² = 5² + 5²

H² = 25 + 25

H² = 50

H = 5√2

Thus, the correct third side of the triangle will be 5√2.

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Answer:

The percent decrease in population can be calculated by dividing the difference between the two populations by the original population and then multiplying by 100. In this case, the percent decrease is ((137000-117820)/137000)*100 = 14%.

Step-by-step explanation:

The two statements that are both true are as follows: line

AC is perpendicular to line HB and line AC is parallel to FG. That is option A.

A perpendicular line is defined as the line that forms angle 90° where it meets with another line in a plane.

A line is said to be parallel to each other when they do not intercept as they are both on the same plane.

From the given diagram, line AC is perpendicular to line HB because they form angle 90° at the point of intersection.

Also, line AC is parallel to FG, because they can never intersect till infinity.

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Answer:

Yes, ∆PQR is a right triangle.

Step-by-step explanation:

A right triangle has one right angle, which is 90°. This triangle has one right angle, so it is a right triangle.

Answer:

Step-by-step explanation:

(a) Since each student needs a shirt of the same size, and 2 meters of cloth is required to make one shirt, the total length of cloth required to make shirts for 15 students would be:

Total length of cloth = 15 x 2 = 30 meters

Therefore, 30 meters of cloth would be required to make shirts for 15 students.

(b) If 2 meters of cloth are required to make one shirt, then the number of shirts that can be made from 9 meters of cloth would be:

Number of shirts = 9 / 2 = 4.5 shirts

However, since we cannot make half a shirt, the actual number of shirts that can be made from 9 meters of cloth would be 4 shirts.

To convert the length of cloth required for a shirt into decimal form, we can simply divide the length in centimeters by 100. Therefore, 2 meters of cloth would be equivalent to 200 centimeters, which is 2.00 meters in decimal form.

(c) If the length of a piece of cloth is 36.25 meters, and we use 30 meters to make shirts for 15 students, then the remaining length of cloth would be:

Remaining length of cloth = 36.25 - 30 = 6.25 meters

Therefore, 6.25 meters of cloth would be left.

Answer:

first name is pentagon

second is decagon

third is heptagon

Step-by-step explanation:

first is irregular

second is regular

third is irregular

The solutions for x are x= +[tex]\sqrt{12.5[/tex] and -[tex]\sqrt{12.5[/tex] which has been obtained by solving the equations given in the question.

Define Equation?

An equation can be defined in numerous ways. An equation is a claim that demonstrates the equivalence of two mathematical expressions, according to algebra.

In the initial equation, we get: by substituting y=x:

[tex]x^2[/tex] +[tex]y^2[/tex]= 25

[tex]x^2[/tex] +[tex]x^2[/tex] = 25 (since y = x)

2[tex]x^2[/tex] = 25

[tex]x^2[/tex] = 12.5

When the two sides are square, we get:

x = ±[tex]\sqrt{12.5[/tex]

Therefore, the solutions for x are x = +[tex]\sqrt{12.5[/tex] and x = -[tex]\sqrt{12.5[/tex]

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Answer:

[tex]x + y = 150[/tex]

[tex]2x + y = 250[/tex]

Answer:

Step-by-step explanation:

To calculate the volume of the room, we need to integrate the difference between the ceiling and floor functions over the region bounded by the circle. We can use double integrals to do this.

First, let's rewrite the equations for the floor and ceiling in terms of x and y:

Floor: z = (x + y) / 5

Ceiling: z = 20 + xy / 100

The volume of the room can be calculated using the following double integral:

V = ∫∫(20 + xy/100 - (x + y)/5) dA

where the limits of integration are x = 0 to x = 50, and y = 0 to y = √(50^2 - x^2).

We can simplify the integrand by combining like terms:

V = ∫∫(400/100 + xy/100 - (20x + 20y)/100) dA

V = ∫∫(4 + xy/100 - 0.2x - 0.2y) dA

Now we can integrate with respect to y first:

V = ∫0^50 ∫0^√(50^2 - x^2) (4 + xy/100 - 0.2x - 0.2y) dy dx

V = ∫0^50 [(4y + xy^2/200 - 0.2xy - 0.1y^2)|y=0^√(50^2 - x^2)] dx

V = ∫0^50 [(4√(50^2 - x^2) + x(50^2 - x^2)/200 - 0.2x√(50^2 - x^2) - 0.1(50^2 - x^2)^2/200)|x=0^50]

Evaluating this integral, we get:

V ≈ 2,233.5 cubic feet

Therefore, the volume of the room is approximately 2,233.5 cubic feet, which is the amount of space that will need to be heated or cooled.

Answer:

Step-by-step explanation:

Given g(x) = 8x2 − x + 5, find the following.

(a). g(0) = 5

(b). g(−1) = 14

(c). g(r) = ?

(d). g(x + h) = ?

The correct option is 1 and 4  of the given inequality  –3(2x – 5) < 5(2 – x)

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x + 15 < 10 – 5x

x < 5

Therefore, options 1 and 4 are correct. The other options do not correctly represent the inequality.

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Answer:

hope its right

Step-by-step explanation:

Answer:

it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull

Step-by-step explanation:

Answer:

D. 50 square centimeters

Answer:

-2

Step-by-step explanation:

The expression for the missing side length, c, is c = √(a² + b²).

To determine an expression for the missing side length, follow these steps:

Identify the given side lengths in the problem. You didn't provide the specific side lengths or the type of shape

(triangle, rectangle, etc.), but I will assume it's a right triangle with given side lengths a and b, and the missing side

length is c (the hypotenuse).

Apply the Pythagorean theorem for a right triangle, which states that the sum of the squares of the two shorter sides (a

and b) is equal to the square of the hypotenuse (c):

a² + b² = c².

Solve for the missing side length (c) by taking the square root of both sides of the equation:

c = √(a² + b²).

So, the expression for the missing side length, c, is c = √(a² + b²).

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Answer:

Find the Exact Value tan(49). tan(49) tan ( 49 ). Step 1. The result can be shown in multiple forms. Exact Form: tan(49) tan ( 49 ). Decimal Form:

Step-by-step explanation: