Emir earned some money doing odd jobs last summer and put it in a savings account that earns 10% interest compounded monthly. After 9 years, there is $400. 00 in the account. How much did Emir earn doing odd jobs?

Round your answer to the nearest cent

The triangles with the given side lengths are classified as follows:

The ordered side lengths of the triangles are given as follows:

a, b and c.

Considering these side lengths, the triangles are classified as follows:

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If f(x) has a constant term of -4 and h(x) has a constant term of 3, then g(0) is -3 ÷ 4.

It is an equation that is based on several input variables to determine the output based on the input variables.

The price of y apples will be $xy if the price of one apple is $x.

The result in this case is the overall cost, which is dependent on the variables x and y as previously demonstrated.

All of the equations are polynomial functions, hence linear exponents will be used to organize the variables and constants.

Then,

The constant term of f(x) is equal to -4, which is the term that is independent of all variables.

In mathematics, f(0) = 4.

The reason for this is that when x = 0, all of the variable terms disappear, leaving just the constant term.

H(x) has a constant term of 3, which is a term that is independent of all variables.

Mathematically,

h(0) = 3

h(x) = f(x) × g(x)

h(0) = f(0) × g(0)

3 = −4 × g(0)

g(0) = -3 ÷ 4

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Based on the below analysis, the relation R is reflexive, symmetric, and transitive. Therefore, it is an equivalence relation.

To examine the relation R1 = {(1,1),(1,2),(2,1),(4,3),(2,2),(3,3),(4,4),(3,4)} on the set {1,2,3,4}, we need to check if it is reflexive, symmetric, and transitive.

Reflexivity: For the relation R1 to be reflexive, every element in the set {1,2,3,4} must be related to itself. In this case, we have (1,1), (2,2), (3,3), and (4,4), which satisfies reflexivity.

Symmetry: To check symmetry, we need to verify if for every pair (a,b) in R1, the pair (b,a) is also in R1. In this case, we have (1,2) in R1, but (2,1) is also present, satisfying symmetry. Similarly, we have (3,4) in R1, and (4,3) is also present, satisfying symmetry.

Transitivity: To examine transitivity, we need to ensure that if (a,b) and (b,c) are in R1, then (a,c) must also be in R1. In this case, we have (1,2) and (2,1) in R1, but (1,1) is not present. Hence, transitivity is not satisfied.

Based on the above analysis, the relation R1 is reflexive and symmetric, but it is not transitive. Therefore, it is not an equivalence relation.

For part b, we will examine the relation R on the set A = {1,2,3,5,6} defined as (a,b) ∈ R if a.b is a square of an integer number.

Reflexivity: For the relation R to be reflexive, every element in the set A must be related to itself. In this case, every number multiplied by itself is a square of an integer, satisfying reflexivity.

Symmetry: To check symmetry, we need to verify if for every pair (a,b) in R, the pair (b,a) is also in R. Since multiplication is commutative, if a.b is a square, then b.a is also a square. Hence, symmetry is satisfied.

Transitivity: To examine transitivity, we need to ensure that if (a,b) and (b,c) are in R, then (a,c) must also be in R. In this case, if a.b and b.c are squares, then a.c is also a square since multiplication of two squares gives another square. Hence, transitivity is satisfied.

Based on the above analysis, the relation R is reflexive, symmetric, and transitive. Therefore, it is an equivalence relation.

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As per the given costs, 80 notebooks were sold at the student government fundraiser.

Let the number of notebooks sold be = N

Let the number of t-shirts sold be = T

Setting the equation, representing the total number of items sold

N + T = 90

or N = 90 - T.

Setting the equation, representing the total amount -

6N + 12T = 600

Substituting this value of N into the second equation -

6(90 - T) + 12T = 600

540 - 6T + 12T = 600

6T = 600 - 540

6T = 60

T = 60 / 6

T = 10

Substituting the value of T back into the first equation to find the value of n or total notebooks -

N + 10 = 90

N = 90 - 10

N = 80

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Answer:

1. ひよこ     は     ちいさい     。

2. おおかみ     は     どうくつ     に     すんでいます     。

3. せんせい     は     どうぶつたち     を     みます     。

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

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Answer:

He will have it on the 15th day

répondre:

bonjour

si tom avait 100 g de riz il va convertir 100g en kg

= 0,1 kg

bonne journée

Answer:

C

Step-by-step explanation:

It is the only one that makes sense; the third statement is totally false so B would be incorrect, A and B are wrong as both the first and second statements are true.

The correct option is: d. e^2t sin(t) + cosh(2t)To find the inverse Laplace Transform of the given expression, we can use partial fraction decomposition. Let's first factor the denominators:

(x^2 - 4) = (x - 2)(x + 2)

(s^2 - 4s + 5) = (s - 2)^2 + 1

The expression can now be written as:

(2s^2 - 9s + 8)/((x - 2)(x + 2)(s - 2)^2 + 1)

We can decompose this expression into partial fractions as follows:

(2s^2 - 9s + 8)/((x - 2)(x + 2)(s - 2)^2 + 1) = A/(x - 2) + B/(x + 2) + (Cs + D)/((s - 2)^2 + 1)

To find the values of A, B, C, and D, we can multiply both sides by the denominator and equate coefficients of like terms. After simplification, we get:

2s^2 - 9s + 8 = A((x + 2)((s - 2)^2 + 1)) + B((x - 2)((s - 2)^2 + 1)) + (Cs + D)((x - 2)(x + 2))

Expanding and grouping terms, we obtain:

2s^2 - 9s + 8 = (A + B)x(s - 2)^2 + (A + B + 4C)x + (4C - 4D + 2A + 2B - 8A - 8B) + (C + D)(s - 2)^2

Equating coefficients, we have the following system of equations:

A + B = 0  (coefficient of x term)

A + B + 4C = 0  (coefficient of s term)

4C - 4D + 2A + 2B - 8A - 8B = -9  (coefficient of s^2 term)

C + D = 2  (constant term)

Solving this system of equations, we find A = -1, B = 1, C = -1/2, and D = 5/2.

Now we can express the original expression as:

(2s^2 - 9s + 8)/((x - 2)(x + 2)(s - 2)^2 + 1) = -1/(x - 2) + 1/(x + 2) - (1/2)s/(s - 2)^2 + (5/2)/(s - 2)^2 + 1

Taking the inverse Laplace Transform of each term separately, we get:

L^-1[-1/(x - 2)] = -e^(2t)

L^-1[1/(x + 2)] = e^(-2t)

L^-1[-(1/2)s/(s - 2)^2] = -1/2 (te^(2t) + e^(2t))

L^-1[(5/2)/(s - 2)^2] = (5/2)te^(2t)

L^-1[1] = δ(t) (Dirac delta function)

Adding these inverse Laplace Transforms together, we obtain the final result:

L^-1[(2s^2 - 9s + 8)/((x - 2)(x + 2)(s - 2)^2 + 1)] = -e^(2

t) + e^(-2t) - (1/2)(te^(2t) + e^(2t)) + (5/2)te^(2t) + δ(t)

Therefore, the correct option is:

d. e^2t sin(t) + cosh(2t)

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Answer:

4. - 3

5. 5 / 11

6. - 2

Step-by-step explanation:

4.

9 / x = - 3

x = 9 / - 3

x = - 3

5.

11 = 5 / x

x = 5 / 11

6.

- 2 = 4 / x

x = 4 / - 2

x = - 2

The coefficient of determination is 1.

Given

Total Sum of squares (SST) = 90

Sum of squares due to error (SSE) = 0

We have to find coefficient of determination.

The correlation of determination is the ratio of the explained variation to the total variation.

The coefficient of determination is used to analyze how differences in one variable can be explained by a difference in a second variable.

The coefficient of determination is also called r-squared or r-square.

Its the percentage of variation in the y-variable(response) that can be explained by the least squares regression line of y on x.

Coefficient of determination can be found with the following formula:

Formula of coefficient of determination :

\(R^{2} = 1 - \frac{SSE}{SST}\)

= 1 - \(\frac{0}{90}\)

= 1 - 0

= 1

\(R^{2}\) = 1

Therefore,

The coefficient of determination is 1.

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The expression that shows how much Diego saves in the third month is 2³ which equals 8.

To determine how much Diego saves in the third month, to consider the pattern established in the problem that Diego saves $2 in the first month, and each subsequent month he saves twice as much as the previous month.

Let's break it down:

First month: $2

Second month: Twice as much as the first month = 2 * $2 = $4

Third month: Twice as much as the second month = 2 * $4 = $8

From the pattern that Diego saves $8 in the third month.

To represent this pattern algebraically,  use the following expression:

2 × 2 × 2

This simplifies to:

2³

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Answer:

Steps: 1) Isolate the absolute value on the LEFT Side of the equation ... 12) A recent poll suggests that 47% of American citizens are going to vote for the ... margin of error of £4.5%. Set up and solve an absolute value inequality to determine the range of possible ... determine if the Democratic candidate will win the election?

Step-by-step explanation:

The percentages candidate could earn falls in the range of absolute value inequality |47 - x| ≤ 4.5.

Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.

For example : |x - 5| < 4 is an absolute value inequality.

Given that,

Percentage of American citizens going to vote for candidate B = 47%

Tolerance level = 4.5%

Suppose x be the percent of voters who will vote for candidate B.

Value of x can be,

47% + 4.5% = 51.5%

Or,

47% - 4.5% = 42.5%

The absolute value inequality for the situation is,

|47 - x| ≤ 4.5

Hence the absolute value inequality is |47 - x| ≤ 4.5.

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Answer:

65 girls play soccer

Step-by-step explanation:

I got this answer because if every 2 tennis girl there are 5 soccer girls I divided 26 by 2 and got 13 then I multiplied 13 by 5 and got 65

The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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Answer:

The answer is B. 12,34 cm .....:)

Answer:

The interest earned on $470 at 4% for 36 months is $56.4

Step-by-step explanation:

We are given

Principal Amount P₀= $470

Rate r = 4% = 0.04

Time t = 36 months = 3 years

We need to find interest I

The formula used is: \(I=P_ort\)

Putting values and finding Interest I

\(I=P_ort\\I=470(0.04)(3)\\I=56.4\)

The interest earned on $470 at 4% for 36 months is $56.4

Answer:

perpendicular slope = 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{1}{2}\) x + 7 ← is in slope- intercept form

with slope m = - \(\frac{1}{2}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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The journal entry will be prepared thus:

Date General Journal Debit Credit

2-Aug

Cash $540

Unearned Service Revenue  $378

Sales Revenue  $162

2-Aug

Cost of goods sold $105

Inventory  $105

3-Aug

Accounts receivable $550

Sales revenue  $550

3-Aug

Cost of goods sold $450

Inventory  $450

6-Aug

Sales return (550/5) $110

Accounts receivable  $110

6-Aug

Inventory $90

Cost of goods sold (450/5)  $90

10-Aug

Unearned service revenue $126

Service Revenue  $126

(378/3 = 126 each)  

20-Aug

Cash $350

Sales revenue  $350

20-Aug

Cost of goods sold $121

Inventory  $121

22-Aug

Cash $440

Accounts receivable $440

A journal entry is the act of recording any transaction, whether one that is economic or not.

An accounting diary that displays the debit and credit balances of a corporation lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.

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Aug.2 Sold a bundle of spa services with a merchandise basket. When sold separately, the spa service part of the bundle sells for $420 and the merchandise basket normally sells for $180. Together, the bundle was sold to Val Amy for cash at a selling price of $540 (total). Val booked a spa treatment for August 10, and she took the basket of goods with her. The goods had cost NGS $105.

Aug.3 Sold 5 identical items of merchandise to Cosmetics R Us on account at a selling price of $550 (total); terms n/30. The goods cost NGS $450.

Aug.6 Cosmetics R Us returned one of the five items purchased on August 3. The item could still be sold by NGS in the future and credit was given to the customer.

Aug.10 Val Amy used one of the three spa treatments she had purchased as part of the bundle sold to her on August 2.

Aug.20 Sold two at-home spa kits to Meghan Witzel for $350 cash. The goods cost NGS $121.

Aug.22 Cosmetics R Us paid its remaining account balance in full.

Prepare all journal entries

Answer:

The number of new trailer homes that were added two years ago is 10

Step-by-step explanation:

Given that

Twenty years ago there are 20 trailer homes having an average age of 18 years

Today, the average of the age is 14 years

We need to find out the number of new trailer homes that would be added two years ago

Since as of now 20 trailer homes would be an average of 20 years and we assume the new trailers be n that are 2 years old

So

20 +  n

And, the sum of their ages i.e. (20) ( 20)  + 2n

Now the following equation is used

\(\frac{400 + 2n}{20 + n} = 14\)

400 + 2n = 14(20 + n)

400 + 2n = 280 + 14n

120 = 12n

n = 10

Hence, the number of new trailer homes that were added two years ago is 10

Answer:

it c

Step-by-step explanation:

The mailbag released from a helicopter reaches the ground after 2.47 seconds. The boat reaches the two-mile marker in 61.29 seconds and its velocity at that point is -32.33 m/s.

(a) To determine how long after its release the mailbag reaches the ground, we need to find the value of t when h equals zero. Substituting h=0 into the equation h=3.20\(t^3\), we get 0=3.20\(t^3\). Solving for t, we find t ≈ 2.47 seconds. Therefore, it takes approximately 2.47 seconds for the mailbag to reach the ground after its release.

(b) To find the time it takes for the boat to reach the two-mile marker, we can use the equation of motion: x = x0 + v0t + (1/2)\(at^2\), where x is the distance, x0 is the initial distance, v0 is the initial velocity, t is the time, and a is the acceleration. Given x = 100 m, x0 = 0, v0 = 29.5 m/s, and a = -3.10 m/\(s^2\), we can solve for t. Using the quadratic formula, we find t ≈ 61.29 seconds.

To determine the velocity of the boat when it reaches the marker, we can use the equation v = v0 + at, where v is the final velocity. Substituting v0 = 29.5 m/s, a = -3.10 m/\(s^2\), and t ≈ 61.29 seconds, we can calculate the velocity. The negative sign indicates that the boat is moving in the opposite direction, so the velocity is approximately -32.33 m/s. Therefore, the boat reaches the marker with a velocity of approximately -32.33 m/s.

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Given the function:

Let's find the limit of the function as x approaches infinity and also as x approaches negative infinity.

We have:

The limit at infinity of a polynomial whose leading coefficient is negative is negative infinity.

• Also, the limit of the function at negative infinity:

The limit at negtaive infinity of a polynomial whose leading coefficient is negative is infinity.

ANSWER:

After considering the given data we conclude that the correct answer is C. \(\frac{76}{493}\)is called a non mixed number. It is considered a fraction represented in fractional form.

The right response is C.\(\frac{76}{493}\)  is definitely not a blended number. It is said to be a portion addressed in partial structure.
A blended number consists of an entire number and a small portion. Choices A, B, and D address blended numbers.
A) 2 ½: This is a blended number since it has an entire number (2) and a legitimate division (½).
B) 840 ¾: This is a blended number since it has an entire number (840) and a legitimate portion (¾).
C) \(\frac{76}{493}\): This is definitely not a blended number; it is a small portion.
D) 93 ⅓: This is a blended number since it has an entire number (93) and a legitimate portion (⅓).
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Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

To find the probability of accepting a lot with a defect rate of 4% using an acceptance sampling plan with n = 27 and c = 0, we need to calculate the binomial probability of having zero defects in a sample of 27 items.

The probability of accepting a lot is equal to the probability of having zero defects, which can be calculated using the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) is the probability of getting k successes, n is the sample size, p is the probability of success (defect rate), and C(n, k) is the binomial coefficient.

In this case, we want to find P(X = 0) where n = 27 and p = 0.04 (4% defect rate). Substituting these values into the binomial probability formula and calculating it will give us the desired probability of accepting the lot with zero defects.

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