6b-9=-87 what is the answer

The interest amount is $622.85

The given parameters are:

The interest amount is calculated as:

I = P(1 + r/n)^(nt) - P

This gives

I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000

Evaluate the products and the quotient

I = 1000 * (1 + 0.045)^(11) - 1000

Evaluate the sum

I = 1000 * (1.045)^(11) - 1000

Solve

I = 622.85

Hence, the interest amount is $622.85

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Answer:

1,500

Step-by-step explanation:

8,000-2,000=6,000

6,000/4=1,500

she would have to save 1,500 dollars each summer to pay for the first year's tuition

9514 1404 393

Answer:

  66

Step-by-step explanation:

Let n represent the number.

  n +23 = 2n -43

  66 = n . . . . . . . . add 43-n to both sides

The number is 66.

_____

Check

23 added to the number is 89

43 less than twice the number is 132 -43 = 89 . . . . as it should be

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

Answer:

d perpendicular bisected and midpoint

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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The restrictions for x and y are given as follows:

3. x ∈ W, y ∈ W.

5. x ∈ W, y ∈ W.

To obtain the restrictions, the first step is classifying the variables as either discrete or continuous, as follows:

In this problem, the variables are both resumed as follows:

Number of tickets sold in the Super Bowl.

The possible values are given as follows:

0, 1, 2, ...

Which are countable values, hence discrete, and that also cannot assume negative values, hence they belong to the whole set and not the integer set, thus the restrictions are:

x ∈ W, y ∈ W.

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Answer:

see below.

Step-by-step explanation:

For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.

The second equation can be as simple as y = -3x.

The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.

Answer:

16x + 8y

Step-by-step explanation:

Answer:

16x+8y

Step-by-step explanation:

3x +8y+13x

combine like terms

16x+8y

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

According to John Locke, Experience is how we acquire basic knowledge.

What explains why, in many of the problems, historical data is used is; Information changes rapidly.

1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.

Thus, the missing word in the question is "Experience".

2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.

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Answer:

3991680 or 792

Step-by-step explanation:

12P7 = 3991680

or

12C7 = 792

P = permutation

C = combination

Sorry, I am not sure which answer is correct or if any of the answers are correct.

Answer: The answer is 9

Step-by-step explanation: 9 is the number and thats what median means.

Answer:

D.) 9

Step-by-step explanation:

The box and whisker plot gives you the answer about the median. It's mainly just the middle line of the box.

Answer:

36.4/26 = 1.4

Step-by-step explanation:

Answer:

slope = - \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (7, - 6)

m = \(\frac{-6-(-5)}{7-3}\) = \(\frac{-6+5}{4}\) = - \(\frac{1}{4}\)

Let n represents the number of nickel

Let p represents the number of pennies

Let d represents the number of dimes

Let q represents the number of quarters

Recall that

1 nickel = $0.05

1 penny = $0.01

1 dime = $0.1

1 quarter = $0.25

From the information given,

n + p + d + q = 12-------------------------------------------------(1)

0.05n + 0.01p + 0.1d + 0.25q = 1.67-------------------------(2)

p = n --------------------------------------------------------------------(3)

n + d = q ----------------------------------------------------------------(4)

Solving the four equations simultaneously, we have

Substitute equations (3) and (4) into equations (1) and (2)

n + n + d + n + d = 12

0.05n + 0.01n + 0.1d + 0.25(n + d) = 1.67

3n + 2d = 12-----------------------------------------(5)

0.31n + 0.35d = 1.67--------------------------------(6)

multiply equation (6) by 200 and equation (5) by 35, we have

105n + 70d=420------------------(7)

62n + 70d =334--------------------(8)

subtract equation (8) from (7)

43n = 86

n=86/43

n=2

put n=2 into equation (8)

62(2) + 70d = 334

124 + 70d = 334

70d = 334 - 124

70d = 210

d = 210/70

d=3

but p = n = 2

p = 2

n + d = q

q = 2 + 3 = 5

Hence, max have

2 nickels, 2 pennies, 3 dimes, 5 quarters

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

\(\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)

Step-by-step explanation:

\(\frac{\frac{1}{c}+\frac{1}{h}}{\frac{1}{c^2}-\frac{1}{r^2}}\)

Combine \(\frac{1}{c} + \frac{1}{h}\)

\(\frac{\frac{h+c}{ch}}{\frac{1}{c^2}-\frac{1}{r^2}}\)

Combine the bottom, too.

\(=\frac{\frac{h+c}{ch}}{\frac{r^2-c^2}{c^2r^2}}\)

Apply the fraction rule

\(=\frac{\left(h+c\right)c^2r^2}{ch\left(r^2-c^2\right)}\)

Cancel

\(=\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)

Therefore, \(\frac{\left(\frac{1}{c}+\frac{1}{h}\right)}{\left(\frac{1}{\left(c^2\right)}-\frac{1}{\left(r^2\right)}\right)}:\quad \frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}\)

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

(Part A) I know the mean of x will be 1.35

Step-by-step explanation:

Just do 9 percent of 15, I nessecarly dont know how to do that math but I looked it up and gave me 1.35. and you got the mean. here is the homework my teacher gave me : I hope this helps

Answer:

False

Step-by-step explanation:

Answer:

388+301

Step-by-step explanation:

its saying in all so it walnts you to add bothe the total amounts of apples :))

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

The answer is 5/18

Step-by-step explanation:

Multiplying 1/3 by 5/6 means multiplying the numerators first (the values up)

which are 1 *5=5

and the multiply the denominators (the values down)

3*6=18

so the answer is 5/18

Answer:

n=4

Step-by-step explanation:

The three criteria that binomial experiments meet are :

The experiment is referred to as a binomial experiment since there are only two possible output values in a binomial experiment. In the case of binomial experiments, the number of independence variables is fixed.

In the case of binomial experiments, the number of independence variables is fixed. The total number of output values for the binomial experiment is 2. For the binomial experiment, each of the two outputs has a 50% chance of happening—50% for success and 50% for failure.

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Answer:

B. The trials are independent.

C. There are only two outcomes per trial.

E. The probability of success is the same for each trial.

Step-by-step explanation:

and then

B. a survey asking 50 people if they like pizza

C. a survey measuring 50 people to see if they are over 6 feet tall

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

x = 15/7

or 2.142857..... in decimal

Hope this helps

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Answer:

D. No x-intercept, y-intercept 9

Step-by-step explanation:

The line intercepts at (0, 9)