If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%

Answer:

x = − 5, − 2

Step-by-step explanation:

x² + 7x + 10 = 0

x² + 5x + 2x + 10 = 0

x(x + 5) + 2 (x + 5) = 0

(x + 5)(x + 2) = 0

x = − 5, − 2

-TheUnknownScientist

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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Answer:

7x

Step-by-step explanation:

4+3= 7

=7x

(since they both have the variable "x" we can combine them both)

have a good day! <3

If  a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered

If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.

However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.

Therefore, the correct option is (d) They would become endangered

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Answer:

It would take him eight hours, but only if at the end of your sentence you meant miles.

Step-by-step explanation:

8miles_____ 30mn

30miles ____________________ *hrs

8 div by 30, .266667 miles per min

mult by 30

When creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

Any member of the family of continuous probability distributions known as the Student's t-distribution (or simply the t-distribution) in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

The following distribution is used to calculate the number of standard deviations required for our confidence interval when doing a confidence interval for the mean in a t-distribution.

The Student's t-test for determining the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and linear regression analysis are just a few commonly used statistical analyses that make use of the t-distribution.

Therefore, when creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

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Correct question:
When we do a confidence interval for the mean, we use the following distribution to determine the number of standard deviations needed for our confidence:

a. z-distribution

b. t-distribution

c. Chi-Square distribution

d. skewed distribution

Answer:

1. a. \(\frac{2}{13}\)

2. c. \(\frac{3}{6}\)

3. d. \(\frac{1}{10}\)

4. b. \(\frac{1}{8}\)

Hope it helps you!

Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = \(\frac{1}{2}a+2\) inches

Perimeter  = 32 inches

a + a + \(\frac{1}{2}a+2\) = 32

\(2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\\)

Subtract 2 from both sides

\(\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2\)

a = 12 inches

base = \(\frac{1}{2}*12+2\)

        = 6 + 2

Base = 8 inches

Thus, the probability that the team wins nine games out of 10 is approximately 0.2365, or about 23.65%.

To solve this problem, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Where:
- P(X = k) is the probability of getting exactly k successes
- n is the total number of trials (games played)
- k is the number of successes (games won)
- p is the probability of success in one trial (winning a game)
- (n choose k) is the binomial coefficient, which can be calculated as n! / (k! * (n - k)!)

In this case, n = 10, p = 0.73, and k = 9. So we have:

P(X = 9) = (10 choose 9) * 0.73^9 * (1 - 0.73)^(10 - 9)
P(X = 9) = 10 * 0.73^9 * 0.27^1
P(X = 9) = 0.2365

Therefore, the probability that the team wins nine games out of 10 is approximately 0.2365, or about 23.65%.

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Answer: 4)90˚

Step-by-step explanation:

(90˚ is more towards the middle

A regular octagon is a shape with 8 congruent sides.

The minimum angle of rotation is 45 degrees

The number of sides of a regular octagon is:

\(\mathbf{n = 8}\)

The total angle at the center of the regular octagon is:

\(\mathbf{\theta = 360}\)

So, the minimum angle of rotation is calculated as follows:

\(\mathbf{\alpha = \frac{\theta}{n}}\)

This gives

\(\mathbf{\alpha = \frac{360}{8}}\)

\(\mathbf{\alpha = 45}\)

Hence, the minimum angle of rotation is 45 degrees

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If Team A's player A4 is disqualified after receiving their fifth foul and the coach does not have a substitute ready within the permitted 15 seconds, the penalty is a technical foul.

In basketball, when a player accumulates five fouls during a game, they are disqualified and must leave the game. However, the coach has the option to substitute another player into the game to replace the disqualified player.If the coach fails to have a substitute ready within the permitted 15 seconds, it results in a technical foul. A technical foul is a penalty in basketball that is assessed against the team, not a specific player. It typically results in free throws being awarded to the opposing team and possible other consequences such as possession of the ball.

The technical foul is a consequence of the coach's failure to have a substitute ready within the designated time, which is considered a violation of the rules. The penalty serves as a deterrent and ensures that teams adhere to the rules and maintain fair play during the game.

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Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

Slope = 1/2

Rise over run

Rise=1

Run=2

1/2

Answer: The answer is probally in my opinion

Slope = 1/2

Rise over run

Rise=1

Run=2

1/2

The equation which has infinitely many solutions from the given answer choices is; Choice A: -76x+76=-76x+76 and Choice B: 76x + 76 = 76x + 76.

It follows from the task content the the equation with infinitely many solutions among the given answer choices is to be determined.

An equation of the type; a(1)x + b(1) = a(2)x + b(2) is said to have infinitely many solutions if; a(1) = a(2) and b(1) = b(2).

Hence, the equations which have infinitely many solutions among the given answer choices are; Choice A: -76x+76=-76x+76 and Choice B: 76x + 76 = 76x + 76.

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Answer:

a.  35%

Step-by-step explanation:

Sales = $802,000

Variable costs = 65% of sales = 0.65 x $802,000 = $521,300

Income from operations = $267,000

Contribution Margin = Sales - Variable Costs

= $802,000 - $521,300 = $280,700

Contribution Margin Ratio = (Contribution Margin / Sales) x 100

= ($280,700 / $802,000) x 100

= 35%

Therefore, the contribution margin ratio is approximately 35.02%.

Answer:

70

Step-by-step explanation:

A=a+b

2h=8+12

2·7=70

Tom can paint the room alone in 12 hours.

Let's assume that the work required to paint the room is equivalent to 1 unit of work. If John can paint the room alone in 6 hours, his work rate per hour is 1/6.

Similarly, if John and Tom together can paint the room in 4 hours, their combined work rate per hour is 1/4. Let x be Tom's work rate per hour.

Then, we can set up the following equation:1/6 + x = 1/4

To solve for x, we can simplify the equation as follows:

Multiplying both sides by 12 (the LCM of 6 and 4) yields:2 + 12x = 3Solving for x gives:12x = 1x = 1/12Therefore, Tom's work rate per hour is 1/12, which means he can paint the room alone in 12 hours.

Summary:Tom can paint the room alone in 12 hours

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Answer:

104 days

Step-by-step explanation:

799-279 = 520

520 \ 5 = 104

Can I just say that is equivalent to about 3 months?! J.D. really needs another source of income XD

Answer:

h=264

Step by step explanation:

As a first step let's look at how to convert mixed numbers to fractions:

Solve for h:

Convert the mixed number to a fraction:

Then, by inverse operations to solve equations, we can solve for h by multiplying by 2 on both sides of the equation:

Answer:i am not quite sure, my advice would be to look up a formula calculator, have a nice day <3

Step-by-step explanation:

To find the values that make the inequality r > -3 true, we need to select the values greater than -3.

Therefore, the numbers from -2.999 to infinity will be the values that make the inequality r > -3 true.

Now, let's write these numbers in order from least to greatest going across.-2.99 < -2.9 < -2 < -0.1 < 0 < 2 < 5

Therefore, the values that make the inequality r > -3 true are -2.99, -2.9, -2, -0.1, 0, 2, and 5.

We have a total of 7 values.

The values that make the inequality r > -3 true are -2.99, -2.9, -2, -0.1, 0, 2, and 5. These numbers are greater than -3.

Hence, any number greater than -3 will satisfy the inequality r > -3. We have a total of 7 values that make the inequality true.

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The null hypothesis and the research hypothesis respectively refers to;

A: Population; Sample

Null hypothesis is defined as a working hypothesis making a claim about the population parameter in question. This means it deals with an overall Population.

Whereas, the alternative hypothesis also called the research hypothesis is one that seeks to disapprove or validate the null hypothesis and as such it is based on the results taken from a sample of a given population from which the null hypothesis is based.

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To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

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Answer:

The slope of the graph is 21.875 mi/gal

Step-by-step explanation:

What we simply have to do here is to calculate the value for the slope of the graph

Firstly, let us take out two

points to use in the slope formula

We have;

(0,0) , (8,175)

The slope equation is;

m = (y2-y1)/(x2-x1)

m = (175-0)/(8-0) = 175/8 = 21.875 mi/gal

here is some:

1 : 3 = 2 : 6 = 3 : 9 = 4 : 12 = 5 : 15 = 6 : 18 = 7 : 21

ofcourse there is more if you need more contact me on brainly!

From Kenny

The unit tangent vector T(t) is i / √2 + j / √2, the normal vector N(t) is -sin t i + cos t j, and the binormal vector B(t) is - (sin t + cos t) k / √2.

To find T(t), N(t), and K(t) for the space curve r(t) = (et cos t) i + (et sin t) j + 4k, we'll need to calculate the unit tangent vector, normal vector, and binormal vector.

Unit Tangent Vector (T(t)):

The unit tangent vector T(t) is the derivative of the position vector r(t) with respect to t, divided by its magnitude.

r(t) = (et cos t) i + (et sin t) j + 4k

Taking the derivative of r(t) with respect to t, we get:

r'(t) = (et (-sin t) + et cos t) i + (et cos t + et sin t) j

To normalize the vector, we divide r'(t) by its magnitude:

T(t) = (1 / |r'(t)|) * r'(t)

| r'(t) | = √[(et (-sin t) + et cos t)² + (et cos t + et sin t)²]

Simplifying the magnitude, we get:

| r'(t) | = √[\(e^{2t\)(cos² t + sin² t) + \(e^{2t\)(cos² t + sin² t)]

| r'(t) | = √(2\(e^{2t\))

Therefore, the unit tangent vector is:

T(t) = (1 / √(2\(e^{2t\))) * [(et (-sin t) + et cos t) i + (et cos t + et sin t) j]

Simplifying further, we get:

T(t) = (1 / √(2\(e^{2t\))) * et(cos t i + sin t j + cos t i + sin t j)

T(t) = (1 / √(2\(e^{2t\))) * 2et(cos t i + sin t j)

T(t) = (1 / √2) (cos t i + sin t j)

Thus, T(t) = i / √2 + j / √2.

Normal Vector (N(t)):

The normal vector N(t) is the derivative of the unit tangent vector T(t) with respect to t, divided by its magnitude.

N(t) = (d/dt)(T(t)) / |(d/dt)(T(t))|

N(t) = (d/dt)(T(t)) / |(d/dt)(T(t))|

N(t) = (d/dt)[(1 / √2)(cos t i + sin t j)] / |(d/dt)[(1 / √2)(cos t i + sin t j)]|

N(t) = (1 / √2)(-sin t i + cos t j) / (1 / √2)(-sin t i + cos t j)

N(t) = -sin t i + cos t j

Thus, N(t) = -sin t i + cos t j.

Binormal Vector (B(t)):

The binormal vector B(t) can be calculated by taking the cross product of T(t) and N(t).

B(t) = T(t) × N(t)

B(t) = (i / √2 + j / √2) × (-sin t i + cos t j)

B(t) = (-sin t / √2) k - (cos t / √2) k

B(t) = - (sin t + cos t) k / √2

Thus, B(t) = - (sin t + cos t) k / √2.

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The coordinate of the point after the translation will be (-6, -2).

Given that:

Point, (11, -4)

Transformation rule, (x - 17, y + 2)

The translation does not change the shape and size of the geometry. But changes the location.

The coordinate of the point after the translation is calculated as,

⇒ (x - 17, y + 2)

⇒ (11 - 17, -4 + 2)

⇒ (-6, -2)

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Answer:

Since it is a square all sides are equal. Just take the square root of 100 which is ten. I feel like the answer is either 10 or 40 ft.

Step-by-step explanation:

\(\Large \begin{aligned}\\&(a^b)^c=a^{bc}\\\\&\left(x^{\frac{1}{6}\right)^3=x^{\frac{3}{6}}=x^{\frac{1}{2}}\end{aligned}\)