Elsa opens an account to save money for a family vacation. the account earns an annual interest rate of 4% 4 % . she earns $37 $ 37 in simple interest after 6 6 months.

Answer:

your answer is 21

Step-by-step explanation:

The gap between 3 and 6 is 3 the gap between 6 and 10 is 4 the gap between 10 and 15 is 5 so your answer will be 6 more than 15 which is 21

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Answer:Mia is closer because her distance to the chest is opposite the smaller angle. Nigel is closer because his distance from the chest is 100 meters

Step-by-step explanation:

Answer:

B. Mia is closer because her distance to the chest is opposite the smaller angle.

Step-by-step explanation:

The answer is

B. Mia is closer because her distance to the chest is opposite the smaller angle.

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Answer:

No.

Step-by-step explanation:

The order of operations in both problems are different, giving two very different results. Therefore, they are unequal.

Answer:

27

Step-by-step explanation:

4.5*3*2 = 27

hi,

You just have to multiply the three measures.  

So :  

2*3*4.5 =  27 cm³

Easy, is it not ?  

Answer:

-5

Step-by-step explanation:

-5 is the only integer. The other numbers have a decimal that repeats forever.

The vector function is, r(t) =  [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, [tex]z=9x^2+y^2[/tex]

Second equation is of the parabolic cylinder, [tex]y=2x^2[/tex]

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder,  [tex]y=2t^2[/tex].

Now substituting x and y into the equation of the paraboloid, we get,

[tex]z=9t^2+(2t^2)^2 = 9t^2+4t^4[/tex]

Now the vector function, r(t) = <x, y, z>

So r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

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The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0

The numbers are given as:

• 0.2

• 0.04

• 125^-1

• 15^0

Number 1: 0.2

Express as fraction

1/5

Apply the power rule of indices

5^-1

Number 2: 0.04

Express as fraction

1/25

Express 25 as 5^2

1/5^2

Apply the power rule of indices

5^-2

Number 3: 125^-1

Express as fraction

1/125

Express 125 as 5^3

1/5^3

Apply the power rule of indices

5^-3

Number 4: 15^0

Evaluate the exponent

15^0 = 1

Express 1 as 5^0

15^0 = 5^0

Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0

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Answer:

4c + 35

Step-by-step explanation:

What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35

Answer:

2,3,4,6,8

Step-by-step explanation:

prime factorization: 2^3×3×7 which has: 2, 3, 4, 6, 8

Answer:

It is divisible by 1, 2, 3, 4, 6, 7, 8

Step-by-step explanation:

Everything is divisible by one, so this is obvious.

168 is an even number, therefore being able to be divided by 2

1+6+8=15 which is in the 3 times tables (3x5=15)

If the last two digits are divisible by 4 (which 68 is) then you can divide it by 4.

168 doesn't end in 5 or 0 so it can't be divided by 5

This number can be divisible by 2 and 3 so it can be divided by 6

160 is divisible by 8 so if you add 8 it is divisible.

1+6+8=15 again which is not divisible by 9

It doesn't end in 0 meaning it cannot be divisible by 10

Hope this helped! <3

Answer:

x=15

Step-by-step explanation:

-x+5

-15+5

= 10

The relation 1 is not a function, while the relation 2 is a function

For a relation to be a function, the following must be true:

Each y value in the function must have a unique x value

i.e. Each y value must have exactly one x value

Using the above as a guide, we have

Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4

Relation 2: This relation is a function, because each y value must have exactly one x value

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A Scatter plot is used for examining data with more than two variables, and it includes a different vertical axis for each variable.

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis. The independent variable will be time, and the dependent variable will be the number of calories provided.

When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.

Therefore, a scatter plot is used for examining data with more than two variables, and it includes a different vertical axis for each variable.

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Answer:

C

Step-by-step explanation:

The equation of the line is y = -7.5x - 2.5

The given parameters are

y-intercept = -5/2

x-intercept = -1/3

A linear equation is represented s

y = mx + c

Where

c = y-intercept = -5/2

So, we have:

y = mx - 5/2

The equation x-intercept = -1/3 means that

y = 0 and x = -1/3

So, we have

0 = -1/3m - 5/2

This gives

1/3m = -5/2

Evaluate

m = -15/2

Substitute m = -15/2 in y = mx - 5/2

y = -15/2x - 5/2

Rewrite as

y = -7.5x - 2.5

Hence, the equation of the line is y = -7.5x - 2.5

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There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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[tex]-7,5 + 4,2 = -3.3[/tex]

[tex]-0,9 \cdot 2,7 = -2.43[/tex]

The unknown number is 8.

Let the unknown number be x.

According to the given question.

We have a phrase "Triple a number decreased by 25 is equivalent to five less than half the same number".

Therefore, the equation for the phrase "Triple a number decreased by 25 is equivalent to five less than half the same number" is given by

3x - 25 = x/2 - 5

To find the unknown number we have to solve the above equation for x.

Therefore,

3x - 25 = x - 10/2

⇒ 6x - 50 = x - 10

⇒ 6x - x = -10 + 50

⇒ 5x = 40

⇒ x = 40/5

⇒ x = 8

Hence, the unknown number is 8.

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Answer: c=6, d=-6

Step-by-step explanation:

c+12d=-66

-4c+3d=-42

(-4c+3d=-42)*4

-16c+12d=-168      ==> subtract this

c+12d=-66           ==> by this

-17c=-168-(-66)       ==> subtract the top two equations

-17c=-168+66

-17c=-102

c=6

c+12d=-66

6+12d=-66

12d=-72

d=-6

Answer:

64 Feet.

Step-by-step explanation:

First find the expression that describes the distance at t seconds. Which will be 16t^2

Now the distance is t=2.

So...

=16t^2

=16(2)^2

=64.

This shows that a reasonable domain for this function is [0, 16)

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

M(x) = −30x + 480

Since the function represents the The amount of money remaining in the budget for marketing  then the function f(x) must be greater than zero;

−30x + 480 > 0

-30x> -480
x < 480/30
x < 16

This shows that a reasonable domain for this function is [0, 16)

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Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.

So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.

[tex]\sqrt{400}[/tex] = 20.

20 is your answer.

Answer:

Hello,

x=5, y=-3, t=-17, z=-43

Step-by-step explanation:

[tex]\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}^{-1}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}\\[/tex]

[tex]\\\\\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}5 & -35+3t \\-3 & 105+6t\end{bmatrix}\\\\[/tex]

x=5

y=-3

t=-17

z=-43

Answer:

You would start at 3 and then go backwords till the end.

So you'd choose the 3 option. <-o

Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o

Hope this helps! <3

The change of Mandy's score is 600 points.

Here,

Mandy is playing a game.

Early in the game she had - 250 points.

Now, Mandy has 350 points.

We have to find the change of Mandy's score.

What is difference of two number?

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

Now,

Early in the game she had - 250 points.

And, now Mandy has 350 points.

So, The change of Mandy's score = 350 - (-250) = 350 + 250 = 600

Hence, The change of Mandy's score is 600 points.

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Answer:

4, 7

Step-by-step explanation:

x = y + 3

y² + 12 = 4x

using the first equation in the second

y² + 12 = 4(y + 3) = 4y + 12

y² = 4y

y = 4

x = y + 3 = 4 + 3 = 7

Considering that the transformation is a dilation, the correct statement is given by:

The angles of Quadrilateral ABCD and A'B'C'D' are the same.

There are three statements:

A figure is said to go through a dilation is when it's side lengths are changed, either enlarged or diminished, but the angles remain constant.

For this problem, the scale factor is of 2, meaning that the side lengths are doubled, while the angles remain constant and the correct statement is:

The angles of Quadrilateral ABCD and A'B'C'D' are the same.

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Answer:

6m sqared to 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2m6)3

- if you mean (2m^6)^3

it is 8m^18.

Answer: it is linear

Step-by-step explanation:

y = 10^2

y = 100

horizontal line going through y = 100