A student deposited money into a savings account. The following equation models the amount of money in the account, A(1), after t years. A(1)-1575 (1.045) a. State the initial amount of money deposited into the account. b. Determine the annual interest rate being paid on the account. C. Use the equation to find the amount of money, to the nearest dollar, in the account after 15 years. d. How many years, to the nearest whole year, will it take for the account to have at least $4000?

Answer: 10.5 or 21/2

Step-by-step explanation:

I take it that thats division? well if so then that would be 63 divided by x (6) which is 10.5 or in fraction terms 21/2

Answer:

1  7/12

Step-by-step explanation:

2 1/4 + 1 1/6 = 3 5/12 because 2 1/4 = 27/12 and 7/6 = 14/12

27/12 + 14/12 = 41/12 = 3 5/12

x  + 3 5/12 = 5

x =  5 - 3 5/12;   you can make 5 into 4 12/12

x = 1  7/12

Answer: 18/20

Step-by-step explanation:

Answer:

Practice, study, get involved in school activities involving math, don’t get too stressed out when it doesn't work, and always try again.

You really can't do anything unless you're smart and looking at your current level of stu.pidity that won't be happening any time soon.

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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x being any number, specifically any real number between -2 and 6

-2<x</=6

i think!?

Answer:

6

Step-by-step explanation:

Q= (r-m)

since r is 21 and m is 15, insert

= 21-15

=6

you final result is 6

if it is wrong, please tell

Answer:

A

Step-by-step explanation:

a = 6

(a)^-2

(6)^-2

1/6²

Option A

Step-by-step explanation:

Solution

Given:- a=6

Now,

\( {a}^{ - 2} \\ 6 ^{ - 2} \\ \frac{1}{6 ^{2} } \\ \frac{1}{36} \)

Answer:

4.6+2.8 = 7.4

Step-by-step explanation:

Basically add 4 and 2 to get 6

Then add 0.6 and 0.8 to get 1.4

ADD....you get 7.4

The solution set of the given system of linear equations can be expressed as a line in R^3 vector as r = (6, -2) + x_3(3, -5).

To express the solution set of the given system of linear equations as a line in R^3, we first need to express the solution set as a vector equation. We can do this by expressing the equations in terms of x_3 as follows:

x_1 = 6 + 3x_3,

x_2 = -2 - 5x_3

Therefore, the solution set of the given system of linear equations can be expressed as a line in R^3 as follows:

r = (6, -2) + x_3(3, -5).

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A. The description of the graph is thick line and upper region shaded

B. The point (8, 10)is not  included in the solution area

C. A different point in the solution set is (1, 5)

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

2x + y ≤ 8

x + y ≥ 4

The description of the graph is that

No, this is because the point (8, 10) does not satisfy both inequalities

The proof is as follows:

2(8) + 10 ≤ 8

26 ≤ 8 ---- false

x + y ≥ 4

8 + 10 ≥ 4 ---- true

So, we have

Truth value = false

A different point in the solution set is (1, 5)

This point means that

Michael can afford to buy 1 cupcake and 5 fudges

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Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=\(-\frac{b}{2a}\) If a is positive, the minimum value of the function is f (\(-\frac{b}{2a}\)).

Substitute in the values of aa and b.

x=−\(\frac{48}{2(3)}\)

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

A. 4.5

Step-by-step explanation:

9/.5= 4.5

dang this looks so confuseing

Answer:

624

Step-by-step explanation:

26*4*3*2*1

= 624

Answer:

Your answer is 786,240.

Step-by-step explanation:

Took the quiz.

Answer:

No correlation.

Step-by-step explanation:

We see that since all the points are scattered around with no clear direction, we have no correlation. We can confirm this by trying to draw a best line of fit, which would be impossible.

You could make an argument saying it is a positive correlation, but that would be very difficult to see.

Based on the calculations, the inequality represented by the given graph is y ≤ -3/2x - 2.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

Based on the graph given, we have an inequation of the form y ≤ f(x), and f(x) is a linear function with following points:

Points (x, y) = (0, -2) and (2, -5)

Next, we would determine the slope as follows:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-5 - (-2))/(2 - 0)

Slope, m = -3/2.

Mathematically, the point-slope form of a straight line is given by:

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the formula, we have;

y - (-2) = -3/2(x - 0)

y + 2 = -3/2x

y = -3/2x - 2

y ≤ -3/2x - 2.

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The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.

To find the value of the 30th percentile,

We need to sort the data set in ascending order first,

1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20

The 30th percentile is the value below which 30% of the data falls.

To find this value, we can use the formula,

P = (n / 100) × x

where P is the desired percentile (30th percentile in this case),

n is the total number of data points,

And x is the rank of the value corresponding to the desired percentile.

Here,

The total number of data points n = 20

x = (30 / 100) × 20

  = 6.

This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.

Therefore, the value of the 30th percentile for the given data set is 5.

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Answer:

x + y

Step-by-step explanation:

x + y = - \(\frac{11}{8}\) + (- \(\frac{11}{4}\)) = - \(\frac{11}{8}\) - \(\frac{11}{4}\) = - \(\frac{11}{8}\) - \(\frac{22}{8}\) = - \(\frac{33}{8}\)

x - y = - \(\frac{11}{8}\) - (- \(\frac{11}{4}\) ) = - \(\frac{11}{8}\) + \(\frac{11}{4}\) = - \(\frac{11}{8}\) + \(\frac{22}{8}\) = \(\frac{11}{8}\)

then

x + y < 0 , that is x + y is negative

Answer:

2

Step-by-step explanation:

Number 2 was written wrong because it should have been 1 inch / 2.54 centimeters, not the other way around.

This is because the units of the number on the top of the previous one (in this case, centimeters) has to be the same as the units on the bottom of the fraction. This means that if you have cm on top of one, the next one has to have cm on the bottom of the fraction.

\(\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }\)=\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }\)

\(\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }\)

Therefore,

125 = 5³

27 = 3³

Hence,

\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} }\)

Hence,

Both cube root are the same now,

Therefore, we have to add them together.

\(5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }\)

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Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

Answer:

This isn't a question lol

Put the question in the replies to this answer and I'll gladly answer it for you.

Step-by-step explanation:

May I have brainliest please? :)

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

-9/7

Step-by-step explanation: it’s parallel so it must have the same slope as line C.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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The measure of angle x in the right triangle is approximately 14.6 degrees.

The figure in the image is that of two right angles.

First, we determine the hypotenuse of the left-right angle.

Angle θ = 30 degrees

Adjacent to angle θ = 10 cm

Hypotenuse = ?

Using the trigonometric ratio.

cosine = adjacent / hypotenuse

cos( 30 ) = 10 / hypotenuse

hypotenuse = 10 / cos( 30 )

hypotenuse = \(\frac{20\sqrt{3} }{3}\)

Using the hypotenuse to solve for x in the adjoining right triangle:

Angle x =?

Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)

Opposite to angle x = 3

Using the trigonometric ratio.

tan( x ) = opposite / adjacent

tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)

tan (x ) = \(\frac{3\sqrt{3} }{20}\)

Take the tan inverse

x = tan⁻¹(  \(\frac{3\sqrt{3} }{20}\) )

x = 14.6 degrees

Therefore, angle x measures 14.6 degrees.

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