Kadeesha invested $900 in an account that pays 1. 5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Kadeesha

would have in the account 11 years after her initial investment. Round to the nearest

tenth (if necessary)

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

it would be c

Step-by-step explanation:

Answer:

a wave vibrating at right angles to the direction of its propagation

Step-by-step explanation:

a. The statement is true.

b. The statement is false.

c. The statement is false.

  a. When the null hypothesis of equal means for four groups is rejected using ANOVA at a significance level of 0.05, it implies that there is sufficient evidence to suggest differences between the group means. ANOVA compares the variability between groups to the variability within groups. If the null hypothesis is rejected, it means that the standardized variability between the groups is higher than the standardized variability within the groups.

b. The appropriate significance level for pairwise comparisons of group means, also known as post hoc tests, is not simply divided by the number of groups. Dividing the significance level by the number of groups, as stated in option b, is not a valid approach. To appropriately account for multiple comparisons, adjustments like the Bonferroni correction, Tukey's HSD, or the Sidak correction are commonly used. These methods ensure that the overall Type I error rate is controlled.

c. Rejecting the null hypothesis using ANOVA only indicates that there are differences between at least two group means. It does not provide information about which specific group means differ from each other. To identify which group means are significantly different, additional post hoc tests or pairwise comparisons are required. These tests allow for a more detailed analysis of specific group differences and provide insights into which pairs of group means are statistically significant.

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Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application

The probability that it will rain on exactly one of the seven days the Hiking Club is camping in the state park is approximately 0.293, rounded to the nearest thousandth.

The probability of rain on any given day is 0.66.

To find the probability that it will rain on exactly one of the seven days the Hiking Club is there, we can use the binomial probability formula.

The binomial probability formula is

\(P(x) = C(n, x) * p^x * (1-p)^{(n-x)}\),

where:

P(x) is the probability of exactly x successes,

C(n, x) is the combination formula, which calculates the number of ways to choose x successes from n trials,

p is the probability of success on a single trial, and

n is the total number of trials.

In this case, we want to find the probability of rain on exactly one day out of the seven days.

So, x = 1,

n = 7, and

p = 0.66.

Using the combination formula,

C(n, x) = n! / (x! * (n-x)!),

we can calculate

C(7, 1) = 7! / (1! * (7-1)!)

C(7, 1) = 7.

Plugging the values into the binomial probability formula, we get:

\(P(1) = C(7, 1) * 0.66^1 * (1-0.66)^{(7-1)}\)

\(= 7 * 0.66^1 * 0.34^6\)

Calculating this expression, we find that P(1) is approximately 0.293.

Therefore, the probability that it will rain on exactly one of the seven days the Hiking Club is camping in the state park is approximately 0.293, rounded to the nearest thousandth.

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Answer:5/12

Step-by-step explanation:

1x5=5

4x3=12

therefore you get 5/12

Answer:=  5/12 Please forgive me if i got it wrong.

Step-by-step explanation: i hope i helped ya

Answer:

the answer is 221.1

Step-by-step explanation:

The volume of the rectangular prism is 221.1 in³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

\(V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3\)

\(V = \frac{67}{4} \times \frac{22}{5} \times 3\)

V = 4422/20

V = 221.1

Hence, the volume of the rectangular prism is 221.1 in³.

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If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

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Answer:

the product of the given radical is \(\sqrt[5]{12}\)

Step-by-step explanation:

The computation of the product of the given radicals is as follows

According to the question, the following radical is

\(\sqrt{50} \ and \sqrt[5]{6}\)

Now simplify it

\(\sqrt{25 \times 2} and \sqrt[5]{6}\\\\\sqrt{25} \sqrt{2} and \sqrt[5]{6}\\\\\sqrt[5]{2} and \sqrt[5]{6}\\\\\sqrt[5]{12}\)

Hence, the product of the given radical is \(\sqrt[5]{12}\)

This is the answer but the same is not given in the options

Answer:

i dont either

Step-by-step explanation:

Answer:

\(6\pi\) or approximately \(18.85\) units

Step-by-step explanation:

The formula for finding the circumference of a circle is \(C=2\pi r\), where \(C\) = circumference and \(r\) = radius. In this case, \(r=3\), so after plugging that into \(C=2\pi r\), we get:

\(C=2\pi r\\ = 2*\pi *3\\=6\pi\)

Since \(\pi\) is approximately \(3.1415\), \(6\pi =6*3.1415=18.849\), which rounds to \(18.85\). Therefore, the circumference of the circle is \(6\pi\), or approximately \(18.85\) units. Hope this helps!

The data in the plot is Right skewed.

Therefore , Option A is the right answer

A right skewed distribution means most of the data lies to the right side of the graph's peak.

A dot plot is given and observing the data it can be seen that peak is towards the right side of the graph.

Thus the data in the plot is Right skewed.

Therefore , Option A is the right answer.

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Answer:

Their speeds are;

5.83 mph and 17.49 mph

Step-by-step explanation:

We are told that they leave the park the same time.

Let the speed one car traveled be v

Since the other car is 3 times faster, then it means that, it's speed is 3v.

Now, after 6 hours they travel 140 miles.

We know that;

Speed = distance/time.

Thus;

(v + 3v) = 140/6

4v = 140/6

v = 140/24

v = 5.83 mph

Thus, second car's speed = 3v = 3 × 5.83 = 17.49 mph

Answer:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet.

Step-by-step explanation:

this equation is stander form

Answer:

213.36

Step-by-step explanation:

520.4 x 0.41 = 213.36

Answer:

Step-by-step explanation: In isosceles triangle ABC, AB = BC.(2) Bob does his homework if and only if George gets candy.What is the length, to the nearest tenth, of the line segment joining  1.25000. (3) 151.9. (-4-146)2+(2-5272. 6. What is the slope of a line perpendicular to the line whose MLABC = (2x+10), find mLACB. C. rectangular box has a base that is a rectangle with  are 10 and 6, find the height of the trapezoid. c) 6. 8) In triangle ABC, the measure of angle A is 60 degrees. If the measure of angle B is  12) Square ABCD, above, has coordinates: C(-2, 2) and D(-2, -2).

Hope this helped!

Answer:

\( \huge{ \boxed{ \tt{2 \sqrt{13 }\: \: \sf{units}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: let \: A(3,6) \: be \: (x1 ,\: y1) \: and \: B(-3,2) \: be \: (x2 \: y2)}}\)

\( \sf{Using \: distance ,\: formula \: to \: find \: the \: length \: of \: AB} : \)

\( \boxed{ \sf{ \: distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)

\( \mapsto{ \sf{ \sqrt{ {( - 3 - 3)}^{2} + {(2 - 6)}^{2} } }}\)

\( \text{Remember!} : \)

\( \mapsto{ \sf{ \sqrt{ {( - 6)}^{2} + {( - 4)}^{2} } }}\)

\( \mapsto{ \sf{ \sqrt{( - 6) \times ( - 6) + ( - 4) \times ( - 4)}}} \)

\( \text{Remember!} : \)

\( \mapsto{ \sf{ \sqrt{36 + 16}}} \)

\( \mapsto{ \sf{ \sqrt{52} }}\)

\( \mapsto{ \sf{2 \sqrt{13} \: units}}\)

\( \sf{∴The \: length \: of \: AB \:is \: 2 \sqrt{13} \: \: units.}\)

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

The given curve is y = x³ − 2x and it has to be rotated about the x-axis to find the area of the surface. The formula to find the surface area of a curve obtained by rotating about the x-axis is given by:$$
A = 2\pi \int_a^b y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx
$$Differentiating the curve with respect to x, we get:$$
y = x^3 - 2x
$$$$
\frac{dy}{dx} = 3x^2 - 2$$Now, squaring it, we get:$$
\left(\frac{dy}{dx}\right)^2 = 9x^4 - 12x^2 + 4$$$$
1 + \left(\frac{dy}{dx}\right)^2 = 1 + 9x^4 - 12x^2 + 4$$$$
= 9x^4 - 12x^2 + 5$$Putting the values in the formula, we get:$$
A = 2\pi \int_a^b y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx$$$$
= 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{9x^4 - 12x^2 + 5} dx$$Simplifying it further, we get:$$
A = 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{(3x^2 - 1)^2 + 4} dx$$$$
= 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{9x^4 - 6x^2 + 5} dx$$Now, substituting $9x^4 - 6x^2 + 5 = t^2$, we get:$$(18x^3 - 12x)dx = tdt$$$$
(3x^2 - 2)dx = \frac{tdt}{3}$$When $x = -1$, $t = \sqrt{20}$ and when $x = 2$, $t = 5\sqrt{5}$Substituting the values in the formula, we get:$$
A = 2\pi \int_{\sqrt{20}}^{5\sqrt{5}} \frac{t^2}{27} dt$$$$
= \frac{28\pi}{27} \left[ t^3 \right]_{\sqrt{20}}^{5\sqrt{5}}$$$$
= \frac{28\pi}{27} \left[ 125\sqrt{5} - 20\sqrt{20} - 5\sqrt{5} + 2\sqrt{20} \right]$$$$
= \frac{28\pi}{27} \left[ 120\sqrt{5} - 18\sqrt{20} \right]$$$$
= \frac{56\pi}{27} \left[ 30\sqrt{5} - 9\sqrt{20} \right]$$$$
= \frac{56\pi}{27} \left[ 30\sqrt{5} - 18\sqrt{5} \right]$$$$
= \frac{56\pi}{27} \cdot 12\sqrt{5}$$$$
= \boxed{224\sqrt{5}\pi/3}$$Therefore, the area of the surface obtained by rotating the curve $y = x^3 - 2x$ about the x-axis is $\boxed{224\sqrt{5}\pi/3}$.

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The total area of the regions between the curves is 1.134π square units

From the question, we have the following parameters that can be used in our computation:

x = ∛y

We have the interval to be

0 ≤ y ≤ 1

The area of the regions between the curves is then calculated using

\(A =2\pi \int\limits^a_b {f(x) * \sqrt{1 + (dy/dx)^2} } \, dx\)

From x = ∛y, we have

y = x³

Differentiate

dy/dx = 3x²

So, the area becomes

\(A =2\pi \int\limits^1_0 {x^3 * \sqrt{1 + (3x^2)^2} } \, dx\)

Expand

\(A =2\pi \int\limits^1_0 {x^3 * \sqrt{1 + 9x^4 } \, dx\)

Integrate

\(A =2\pi \frac{(9x^4 + 1)^{\frac{3}{2}}}{54}|\limits^1_0\)

Expand

\(A = 2\pi [\frac{(9(1)^4 + 1)^{\frac{3}{2}}}{54} - \frac{(9(0)^4 + 1)^{\frac{3}{2}}}{54}]\)

This gives

A = 2π * 0.5671

Evaluate the products

A = 1.1342π

Approximate

A = 1.134π

Hence, the total area of the regions between the curves is 1.134π square units

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The expression is equal to:

Work/explanation:

First, I distribute 8:

\(\bf{8\times(6+2)}\)

Which is:

\(\bf{8(6+2)}\)

Which is the same as:

\(\bf{8*6+8*2}\)

The range of the function h(x) = (1/2) x - 3 are {-4, -3, -2, 2}.

What is the range of a function?

The set of a function's potential output values is known as its range.

Given function is h(x) = (1/2) x - 3.

The independent variable of the function is x.

The input of the function are -2, 0, 2, 10.

To find the range of the function we will put x =  -2, 0, 2, 10 in the given function.

Replace x by -2 :

h(-2) = (1/2) ×(-2) - 3

h(-2) = -4

Replace x by 0 :

h(0) = (1/2) ×(0) - 3

h(0) = -3

Replace x by 2 :

h(2) = (1/2) ×(2) - 3

h(2) = -2

Replace x by 10 :

h(10) = (1/2) ×(10) - 3

h(10) = 2.

The range of the function is { -4, -3, -2, 2}

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Answer:D

a=4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

You should draw a picture to let everything fall into place:

.................2x.......................

N ----x+7------ O ---10---- P

Then you can easily see that

x+7 + 10 = 2x

17 = 2x - x

so x = 17

NP = 2x = 2*17 = 34

NO = x+7 = 17+7 = 24

OP = 10

NO + OP = 24 + 10 = 34 = NP

The a) mean of the sample means is equal to the population mean.

This is because the mean of all of the sample means is a measure of the center of all of the samples, which is the same as the center of the population. This can be shown by calculating the arithmetic mean of the sample means.

The arithmetic mean of the sample means is calculated by summing the means and dividing by the number of samples. Since the sum of all the sample means is the same as the sum of the population, the mean of the sample means must also be equal to the population mean.

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20. The sample mean is an unbiased estimator for the population mean. This means: (a) The sample mean always equals the population mean. (b) The average sample mean, over all possible samples, equals the population mean. (c) The sample mean is always very close to the population mean. (d) The sample mean will only vary a little from the population mean. (e) The sample mean has a normal distribution.

The least squares estimator performs on a simultaneous equation model with an endogenous regressor by being (b) biased but consistent in large samples.

It is a statistical approach that is commonly used to estimate unknown parameters in regression analysis. The least squares estimator works well when applied to the simultaneous equation model with an endogenous regressor, but it is biased in some cases.

What is a least squares estimator?

The least squares estimator is a technique used to estimate the parameters of a statistical model, as the name suggests. The method finds the parameter estimates by minimizing the sum of the squared residuals, which are the differences between the observed values and the predicted values of the model.The unbiased and consistent estimator of the least squares is a statistical method that works well for large samples. It is biased but consistent in the simultaneous equation model with an endogenous regressor. It is unbiased, but it becomes inconsistent unless it is collected via random sampling.The least squares estimator is widely used in econometrics to estimate the parameters of a model. It is also used in linear regression analysis, which is one of the most common applications of the least squares estimator. It is a powerful tool that can be used to estimate the parameters of a model and to make predictions based on those estimates.

The use of the least squares estimator has revolutionized the way researchers approach statistical analysis.

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