If $1,000 is invested at an interest rate of 10% per year, compounded monthly, find the amount of the investment at the end of 4 years

Answer:

12.68

Step-by-step explanation:

Answer:

(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

(b): Yes

Step-by-step explanation:

Given

[tex]\wedge y = 40.7 + 8.63x_1 +2.71x_1[/tex]

[tex]\wedge y = 42.0 + 9.01x_1[/tex]

Solving (a): An interpretation of x1 coefficient

We have the coefficients of x1 to be 8.63 and 9.01

Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable

Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.

So, the interpretation is:

y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

Solving (b): Multicollinearity

This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2

Answer:

Bessie drank 34,000 mL of water.

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

Set up equation:

34 L × 1000 mL

Solve:

34,000 mL

Answer:

Half of the base multiple by the height

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

Answer:

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

so the area of the circle is

[tex]8^{2} \pi[/tex] which equals 64pi

BUT we have the white circles so we need to find their areas and subtract it

THE WHITE CIRCLES:

diameter = 4 so radius = 2

[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]

which you double since theres TWO white circles so = [tex]8\pi[/tex]

so 64[tex]\pi -8\pi =56\pi[/tex]

[tex]56\pi =175.00[/tex]

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

Answer:

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Step-by-step explanation:

Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - x-coordinate of the point P.

[tex]y[/tex] - y-coordinate of the point P.

Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:

[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]

[tex]\theta \approx 105.001^{\circ}[/tex]

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Angle the given vector makes with the positive x-axis when measured counterclockwise is required.

The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.

The given vector is (-7.765,28.978)

The angle is found by the formula

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

Here,

y = 28.978

x = -7.765

Substituting the given values we get

[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]

So, the required angle is

[tex]180-75=105^{\circ}[/tex]

Learn more about vectors:

https://brainly.com/question/25811261

Answer:

S₁₀=620

Step-by-step explanation:

This is an arithmetic sequence with a common difference of d=12

The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.

We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.

Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620

Answer:

0

Step-by-step explanation:

(3 * 2) + (1 * -6) + (1 * 0)

  6      +     -6    +    0    = 0

Answer:

x/4 = 14

Bottom right one

Step-by-step explanation:

x/4 = 14

Bottom right one

There were 4 total and each payed 13.

Answer:

A 4x=$13

Step-by-step explanation:

Answer:

7y(3x+2)

you take out the 7y from both sides

Answer:

The answer is the last choice, h= 2a/b

Step-by-step explanation:

If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh.  Next you would divide each side of the equation by b to solve for h.  This would give you h= 2a/b, which is your final answer.

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x ^ 11 sqrt 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x^11 [tex]\sqrt{5}[/tex]

Step-by-step explanation:

You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].

Answer:

B and d

Step-by-step explanation:

Brainliest pls.

Answer:

20

Step-by-step explanation:

becauseit is just below 30

Answer:

1.) B

2.) A

3.) B

Step-by-step explanation:

Answer:

d. 14 and 240.

Step-by-step explanation:

Given that

The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

  Now The degrees of freedom for F -critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

Answer:

Transitive Property of Congruence

Step-by-step explanation:

If angle 1 is = to angle 2 and angle 2 = angle 3, then angle 1 has to equal angle 3.

Answer:

2b+1j=?

Step-by-step explanation:

2b represent 2 granola bars

Answer:

2

Step-by-step explanation:

Answer:

you would take 14 secs lol hahaha

Step-by-step explanation:

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

Answer:

A. 3.7

Step-by-step explanation:

3900/1050  = 3.7

Answer:

3.7

Step-by-step explanation:

[tex]3900 \1050 = 3.7 \\ [/tex]

Answer:

a) [tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b) [tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c) [tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

24 components on the wheel, one of which is "lose a turn"

This means that each time the wheel stops, there is a [tex]\frac{1}{24}[/tex] probability that it stops at lose a turn.

a.single spin

Only one spin, so:

[tex](\frac{1}{24})^1 = \frac{1}{24}[/tex]

[tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.

b.two successive spins

Two spins, so:

[tex](\frac{1}{24})^2 = \frac{1}{576}[/tex]

[tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.

c. three successive spins

Three spins, so:

[tex](\frac{1}{24})^3 = \frac{1}{13824}[/tex]

[tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.

Answer:

5/8

Step-by-step explanation:

Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation: