6x - 7y = -2 solve for x

Then the amount of money will he have in his account after 10 years will be $7,454.16. Then the correct option is B.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Miguel deposits $5000 in an account earning 4% interest compounded monthly.

Then the amount of money will he have in his account after 10 years will be

We know the compound interest formula.

\(A = P (1 + r)^t\)

Where

A = amount

P = principal

r = rate of interest

t = time period (in year)

Then we have

\(\rm A = 5000 (1 + 0.04)^{10}\\\\A = 5000 (1.04)^{10}\\\\A = \$ \ 7454.16\)

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

Answer:

she not with him tonight

she not with Jim tonight

she in the gym tonight

Answer:yes

Step-by-step explanation:

The question doesn't make sense to me either is that the whole thing?

Answer:

y = 4x + -9

Step-by-step explanation:

To answer this question we will graph the function:

and the x-coordinates of the x-intercepts of the graph will be the solutions to the given equation.

The graph of the function

is:

From the graph, we get that the x-intercepts are (-8,0) and (11,0).

Therefore, the solutions to the given equation are x= -8 and x=11.

Answer: The solutions to the given equation are x= -8 and x=11.

Answer:

mAngleB = 172°

Step-by-step explanation:

"vertical angles" means that the angles are equal to each other.

We can write an equation:

7x + 4 = 8x - 20

subtract 7x from both sides.

4 = x - 20

add 20 to both sides

24 = x

Then, the question asks for the measure of AngleB.

AngleB

= 8x - 20

= 8(24) - 20

= 192 - 20

= 172

mAngleB = 172°

A confidence interval for the mean is said to be symmetrical around the population mean. Symmetry means that the central tendency measures are equally positioned about the middle of the interval.

When constructing a confidence interval, the interval width on either side of the point estimate is equal (assuming a symmetric distribution). The critical values, the margin of error, and the point estimate are all equidistant from the midpoint of the interval.

This is why a confidence interval for the mean is said to be symmetrical around the population mean. Therefore, a confidence interval for the mean is symmetrical around the population mean as long as the population is normally distributed.

Also, it is worth noting that a confidence interval can only be symmetrical if the sample size is large enough. In the case of a smaller sample size, the distribution of the confidence interval may not be entirely symmetrical and may skew to the left or right. The larger the sample size, the more symmetrical the distribution will be.

A confidence interval is typically expressed in a specific range, such as 95 percent, which means that the population mean is expected to fall within that range 95 percent of the time. In conclusion, the symmetry of a confidence interval around the population mean is important for statistical inference because it ensures that the confidence level is maintained.

To learn more about population, visit

brainly.com/question/30396931

#SPJ11

Answer:

18 inches, assuming that the height is the length of the TV screen.

Step-by-step explanation:

First off, the shape of a TV screen is a rectangle.

To get the area of a rectangle, the equation would be:

H * W = A

where H = height, W = Width, and A = area.

If we pluck in the values given in the question, we get:

H * 32 = 576

To find out H, we have to get rid of the 32.

To do that, we divide both sides by 32.

Therefore, the equation is now:

H = 18.

Thus, the height of the TV screen is 18 inches.

Answer: h = 18 inches

Step-by-step explanation:

Answer:

The total grams of fat that were in both servings based on the information is 27.625 grams.

Step-by-step explanation:

From the information, Lara bought Philly soft pretzels. Each serving has 1.7 grams of fat. She ate 15 servings of the pretzels at lunch and 1.25 servings of the pretzels as a snack.

Therefore, the total grams will be:

Therefore, the total grams of fat that were in both servings based on the information is 27.625 grams.

= (15 × 1.7) + (1.25 × 1.7)

= 25.5 + 2.125

= 27.625 grams

c). 0.060±0.018. is the correct option. The 90% large-sample confidence interval for the difference p 9 −p 12 in the proportions of ninth- and 12 thgraders who ate breakfast daily is about 0.060±0.018.

We are given a confidence interval of 90% for the difference in proportion p9 −p12 of ninth and 12th graders who eat breakfast daily.

We need to find out which of the options is the correct interval.

(a) 0.060±0.011 (b) 0.060±0.013. (c) 0.060±0.018.

The formula for the confidence interval for the difference in proportions p9 − p12 is given by;

$$\left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}}$$

Where; $$\alpha = 1 - 0.90 = 0.10, Z_{\alpha/2} = Z_{0.05} = 1.645$$

Now we substitute the given values into the formula to find the interval; $$\begin{aligned} \left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}} &= 0.060 \pm 1.645 \sqrt{\frac{(0.21)(0.79)}{568} + \frac{(0.31)(0.69)}{506}}\\ &= 0.060 \pm 0.0174\\ &= \left[0.0426, 0.0774\right] \end{aligned}$$

Therefore, the correct option is (c) 0.060±0.018.

To know more about interval visit:

brainly.com/question/14560145

#SPJ11

Answer:

See below

Step-by-step explanation:

The first one 'cubes' the denominator AND the numerator:

(-2/5)^3  = -2/5  * -2/5  * -2/5 =  -8/125

The second one 'cubes' only the denominator:

-2/5^3  = -2 / (5 * 5 * 5) =  - 2 / 125

For the triangle, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles of a triangle.

The correct option (d): a ≈ 14.9, C ≈ 24.1, B ≈ 104.9.

We have,

A = 51° (angle opposite side a)

b = 14

c = 6

Using the Law of Sines, we have:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we get:

a/sin(51°) = 14/sin(B) = 6/sin(C)

To find angle B, we can use the equation:

sin(B) = (b * sin(A))/a

sin(B) = (14 * sin(51°))/a

Now, let's calculate the values using the options:

a) No triangles possible: This option can be eliminated since the given side lengths satisfy the triangle inequality.

b) a ≈ 14.9, C ≈ 28.1, B ≈ 100.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/14.9 ≈ 0.725.

Taking the arcsin of 0.725, we find B ≈ 46.3°.

c) a ≈ 11.2, C ≈ 24.1, B ≈ 104.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/11.2 ≈ 1.022.

Since the sine value cannot exceed 1, this option can be eliminated.

d) a ≈ 14.9, C ≈ 24.1, B ≈ 104.9:

Using the equation sin(B) = (14 * sin(51°))/a, we find sin(B) ≈ (14 * sin(51°))/14.9 ≈ 0.725.

Taking the arcsin of 0.725, we find B ≈ 46.3°.

Therefore, the correct answer is option (d): a ≈ 14.9, C ≈ 24.1, B ≈ 104.9.

To know more about Law of Sines refer here:

https://brainly.com/question/17289163#

#SPJ11

At least 67 senators must vote in favor for a bill to pass with a supermajority.

A supermajority is a voting requirement that surpasses a simple majority and sets a higher threshold for passing certain decisions. In the case of the U.S. Senate, which consists of 100 members, a bill must garner the support of at least twice as many senators voting in favor as those voting against in order to pass with a supermajority. Therefore, to achieve a supermajority, a minimum of 67 senators must vote in favor of the bill.

The purpose of a supermajority requirement is to ensure that significant decisions have substantial support and broad consensus among legislators. By raising the threshold, it becomes more challenging for a small minority to block the passage of a bill, making it more likely that measures with broad support can be enacted into law.

Learn more about supermajority

brainly.com/question/29795134

#SPJ11

Answer:

For question 3b the answer is no because the common difference is 4

Step-by-step explanation:

6,10,14,18,22,26,30,34

It will be 34 not 33

We use the quadratic formula to find the roots of the quadratic equation.

The quadratic equation is given below:

f(x) = a\(x^{2}\) + bx + c = 0 where a, b, c

The system of equations used to find roots of equation is y = 12\(x^{3}\)-5x and y=2\(x^{2}\)+x+6.The given equation will be,12\(x^{3}\)-5x=2\(x^{2}\) + x + 6.

Now we take the root of equation into two parts:

1. Left-hand side

2. Right-hand side

Equation no.1 : 12\(x^{3}\)-5x=0

Equation no.2: 2\(x^{2}\)+x+6=0

Now we contains system of equation 0 with y.

So, the equation will be:

12\(x^{3}\)-5x=y

2\(x^{2}\)+x+6=y

However,system of equations can be used to find the roots of the equation 12\(x^{3}\)-5x=2\(x^{2}\)+x+6 is:
y = 12\(x^{3}\)-5x and y = 2\(x^{2}\)+x+6

To learn more about roots of equation, click here

brainly.com/question/28034005

#SPJ4

Answer:

-90 degree is the correct answer

(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

Visit here to learn more about upper bound:

brainly.com/question/22965427

#SPJ11

Answer:

23(x-y)=7…................

Answer:

see below

Step-by-step explanation:

5 and 8 are not congruent because they are Same Side Interior angles. 12 and 13 are congruent because they are alternate exterior angles and 9 and 11 are congruent because they are corresponding angles. As for 1 and 16 we know 1 = 6 bc they are vertical angles, 6 = 14 and 14 = 16 bc they are corresponding so that means 1 and 16 are congruent.

We have the next cost given function:

The average cost function is given by:

Replace:

Simplify the expression:

Derivate A(x)

Set A'(x)=0

Solve for x:

Therefore, the average cost per unit will be minimized at 100 units of production level.

I need points

Step-by-step explanation:

thankyou

Answer:

An egg has to be broken before you use it

The duration of the interval will be reduced by a factor of 2 if the sample size is multiplied by 4.

Although a simple random sample is one of the least often utilized methods, it is frequently covered in lessons on elementary statistics. Theoretically, it makes sense. However, it's challenging to execute in practice.

A simple random sample technically refers to a collection of n things drawn from a population of N objects where each possible sample has an equal chance of occurring.

Here is a simple illustration of how to obtain a random sample: Put 100 bingo balls with numbers in a bowl (this is the population N). Pick 10 balls at random from the bowl (this is your sample n). It's vital to keep in mind that looking could (unknowingly) skew the sample. 

According to our question-

We have the following confidence interval of proportions for a sample of n people who were surveyed with a probability of success of and a confidence interval.

where z is the z score with p value and.

The interval's bottom end is determined by:

The interval's upper end is determined by:

The interval's length is calculated by dividing the upper and lower ends by the latter, as in:

This indicates that the length is inversely related to the sample size's square root.

Therefore, if the sample size is doubled by 4, the interval's length will be reduced by a factor of 2.

Learn more about  Random Sample click here:

https://brainly.com/question/24466382

#SPJ4

Answer:

y=2+x/5

Step-by-step explanation:

Answer:

y=2+\(\frac{x}{5}\)

Step-by-step explanation:

subtract x from both sides to get

5y=10-x

divide both sides by five to get

y=2+\(\frac{x}{5}\)

The break-even sales price per umbrella if sun cover manufactures the units is $120.99.

This can be done by using the formula:

Break even units = Total fixed cost / (Price - Variable cost)

8573 = 675921/(Price - 42.15)

8573(P - 42.15) = 675921

8573P - 361351.95 = 675921

8573P = 675921 + 361351.95

8573P = 1037273.4

P = 1037273.4/8574

P = $120.99

Therefore, the price is $120.99.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

The coordinates after dilation: T'(6,-2) and. U'(4,0) and V'(2,6) and W'(0,0) Plot: [SEE in attachement]

What is  coordinates?

A coordinate system in geometry is a method for determining the location of points or other geometric objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.

You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To get the y-coordinate, repeat the previous step while adhering to a horizontal line.

To learn more about horizontal line visit:https://brainly.com/question/10863938

#SPJ1

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered