step by step solve for x the following problem... 34 - 5x + 2 (x - 2) = 15 ​

If we invest $12,000 in an account that pays simple interest of 3.4%

each year. 4080 is the interest earned after 10 years.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given that if we invest $12,000 in an account that pays simple interest of 3.4% each year. The interest earned after 10 years we have to calculate.

A=P(1+rt)

A= Final Amount

P=Principle amount=12000

r = rate of interest=3.4%

t is time =10 years

Substitute these values in Formula.

Convert 3.4% to decimal number by dividing with 100.

A=12000(1+0.034(10))

A=12000(1+0.34)

A=12000(1.34)

A=16080

So intial amount-Final amount

12000-16080

4080

Hence the interest earned after 10 years is 4080.

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Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Answer:

576

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

24x24 equals 576

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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The ordered pair (-1, -7) is the solution to the equation 7x - 5y = 28.

The collection of variable values in linear equations that yields all feasible solutions is referred to as the solution of a linear equation. In order to describe real-world issues, linear equations contain unknown values in the form of one or more variables. The collection of values for each variable in a system of linear equations is referred to as the solution set.

Consider the equation,

7x - 5y = 28

Now put the values from options, the pair values at which LHS = RHS that will be the solution to the equation.

Put x = 77, y = 9 in the equation

7(7) -5(9)

= 49 - 45

= 4

This is not a solution.

Put x =4, y= 10

7(4) - 5(10)= 28 - 50

= -32

This is not a solution.

Put x= -1, y = -7

7(-1) - 5 (-7)

= -7 + 35

= 28

So, this is the solution to the equation as LHS = RHS

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Answer:

C. the ordered pair (1.5, 10)

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

c/0.2=2.6+15.9

c=(2.6+15.9)0.2

15.82x2=31.64

31.64+42.37=74.01

100-74.01=25.99

Sinead received $25.99 for change.

Answer:

Sinead received $25.99 for change.

Step-by-step explanation:

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer:

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

9(3+2) = 45

9 * 9 = 81

Step-by-step explanation:

Answer:

4:5 or 0.8

Step-by-step explanation:

if the correspond sides are 24 (smaller figure) and 30 (larger figure), then the requred scale factor is:

24:30=4:5 (or 0,8).

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Given:

The figure shows secants LH and tangent K intersecting at point L. AHIL is a right triangle.

Required:

Find the value of x and y.

Explanation:

The inscribed angle measures half of the arc it comprises.

We know that the sum of linear angles is 180 degrees.

Final answer:

Option C is the correct answer.

Answer:

I can help you, just tell me what it is.

Step-by-step explanation:

Step 1: Tell me the problem

Step 2: Wait for a response.

Answer:

yes it can help in some ways I think

We are given that Mike reads 5 pages an hour. This is the quotient of pages with respect to time. In this case, the time is the independent variable and the number of pages is the dependent variable since the number of pages depends on the time interval that is considered.

Answer:

(d) <-21, -7>.

Step-by-step explanation:

To find 7u, we simply multiply each component of u by 7:

7u = 7<-3, -1> = <-37, -17> = <-21, -7>

According to the information, what we should include in a conclusion statement is a reflection on how evidence supports the point.

A concluding statement is a term that refers to a phrase or sentence that concludes a topic in a text. This fragment has the purpose of closing the topic and transitioning it to the next paragraph. From the above, we can infer that in this sentence the author must show how the evidence supports the point (central idea) of the paragraph so that the reader understands that idea and can continue reading the next idea.

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Answer:

56 5/12 inches tall

Step-by-step explanation:

add karina and Janes inches together than add Cesar and then theres the height

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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The equation given is:

y =x² - 4

To get the ordered pairs, we will simply substitute each x- values into the equation and evaluate

When x =-2

y = (-2)² - 4 = 4 - 4 = 0

The first ordered pair is (-2, 0)

When x = -1

y =(-1)² - 4 = 1 - 4 = -3

The ordered pair is (-1, -3)

When x =0

y = (0)² - 4 = -4

The ordered pair is (0, -4)

When x = 1

y=(1)² - 4 = 1 - 4 = -3

The ordered pair is (1, -3)

When x = 2

y = (2)² - 4 = 4 - 4 = 0

The ordered pair is (2, 0)

Below is the sketch of the graph

Answer:

2x bigger

Step-by-step explanation:

because if you split the rectange in half, it would be 2x?

Answer:

1. A      2. A? I think.      3. C

Step-by-step explanation:

Sorry I'm not that good but I can suggest you a person... Just go friends and search demilade25... It's the exact name demilade25.. He can help you very well

Answer: -2

Step-by-step explanation: