If $6500 is invested at a rate of 6% compounded continuously, find the balance in the account after 3 years

Answer:

x = 1 and y = -4

Step-by-step explanation:

It is given that,

-2x = 2 + y

-2x - y = 2 ---(1)

-6x - y = -2   ----(2)

To find the solution of equations

Step 1: Subtract eq(2) from eq(1)

-2x - y = 2 ---(1)

-6x - y = -2  ----(2)

4x + 0 = 4

x = 4/4 = 1

Step 2: Substitute the value of x in eq (1)

-2x - y = 2 ---(1)

-2*1 - y = 2

-2 - y = 2

y = -2 - 2 = -4

Therefore x = 1 and y = -4

Answer:

B. T–5,0 ∘ R0,90°(x, y)

Step-by-step explanation:

Just took Quiz.

Transformation involves changing the size and position of a shape.

The transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]

From the complete question (see attachment), we have the following observations.

The 90 degrees counterclockwise rotation is represented as:

[tex]\mathbf{R0,90^o(x, y)}[/tex]

The left translation by 5 units is represented as:

[tex]\mathbf{T-5,0(x, y)}[/tex]

When both transformations are combined, we have:

[tex]\mathbf{T-5,0 \circ R0,90^o(x, y)}}[/tex]

Hence, the transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]

Read more about transformations at:

https://brainly.com/question/11709244

Answer:

-9x² + 25

Step-by-step explanation:

To solve, use FOIL. FOIL:

First

Outside

Inside

Last

Solve "First":

(3x)(-3x) = -9x²

Solve "Outside":

(3x)(-5) = -15x

Solve "Inside":

(-5)(-3x) = +15x

Solve "Last":

(-5)(-5) = +25

Combine like terms:

-9x² - 15x + 15x + 25

-9x² (-15x + 15x) + 25

-9x² + 25

-9x² + 25 is your answer.

~

Answer:

previous address,current employer,bankruptcy and civil court case,late credit card payments.

Step-by-step explanation: you are welcome

Answer:

Step-by-step explanation:

Given information;

Which of these can we find on a credit report.

From the given options one can find following information from a credit report:

For more information visit:

https://brainly.com/question/2989702?referrer=searchResults

Answer:

Probably the one you have selected.

Step-by-step explanation:

This is a bad question because the domain of f(x) is not restricted, but the domain of its inverse is restricted to x >= 4. I would say you guessed correctly.

Answer:

The answer is C. The domain of f(x) is restricted to x is less than or equal to 0, and the domain of F^-1(x) is restricted to x is greater than or equal to 0.

Step-by-step explanation:

I got it right on edgenuity. :)

Answer: substitution

Step-by-step explanation:

edge 2022

ANSWER

[tex]x = 54\degree[/tex]

EXPLANATION

The diameter meets the tangent to the circle at right angles.

The sum of interior angles of a triangle is 180°.

This implies that

[tex]x + 36 \degree + 90 \degree = 180 \degree[/tex]

Group the constant terms

[tex]x = 180 \degree - 36 \degree - 90 \degree[/tex]

We simplify to obtain,

[tex]x = 54\degree[/tex]

given that 1 ox eats as much as 10 sheep:

4 oxen = 40 sheep

therefore,

first farmer:  the equivalent of 40 sheep

second farmer:  30 sheep

that means 30+40 = 70 animals eating

$140 ÷ 70 = $2

so it is $2 per eat

2 x 40 = $80 for the first farmer's oxen

2 x 30 = $60 for the second farmer's sheep

Answer:

$80

Step-by-step explanation:

Since if 1 ox is equal to 10 sheep, then the first farmer posesses the equivalent of 40 sheep. With 70 sheep in total, then one sheep is worth 2 dollars. The first farmer has a total of 4 oxen, equivalent to 40 sheep. 40 times 2 is 80, so the answer is 80 dollars

Answer:

im not sure

Step-by-step explanation:

Answer:

  diameter = m - c

Step-by-step explanation:

In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).

The sum of the lengths of the tangents from points A and B on side "c" is ...

  (b-r) +(a-r) = c

  (a+b) -2r = c

Now, the problem statement defines the sum of side lengths as ...

  a+b = m

and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...

  m -d = c

  m - c = d . . . . add d-c

The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.

Answer:

  Kira used published data that is quantitative

Step-by-step explanation:

Online census data is published data. It is numerical by nature, hence quantitative.

Answer:

Kira used published data that is quantitative.

Step-by-step explanation:

Firstly, we need to identify if the data is qualitative or quantitative.

The data is average number of people living in the homes.

Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.

Since the average number of people can be counted and measured, the data is Quantitative.

In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.

Therefore, the correct answer will be:

Kira used published data that is quantitative.

The number tab allows percentage symbol in the spreadsheet which corresponds to option B.

To display the total percentage symbol in the spreadsheet, Diane should select the Numbers tab in the Format Cells dialog box. This tab allows her to customize the display of numbers and apply percentage formatting.

Answer:

Step-by-step explanation:

Lots, even if you make this a combination problem. I'm going to treat it as a permutation first and then we'll look into a combination.

52 P 5 is the same thing as a counting problem

The first card drawn is 1 of 52

The second one drawn is 1 of 51

The third one drawn is 1 of 50

The 4th one drawn is 1 of 49

The 5 one drawn is 1 of 48

The answer you should get is 311 875 200

=====================

If your calculator does this then you should put in 52P5 and it will give you the possible outcomes.  Remember the question asks you the number of outcomes not the probability.

=====================

The above number treats the order as different.

So 12345 is not the same as drawing 12354.

Those 2 sets of cards are counted as 2 not one.

I believe this to be the best answer.

======================

But if order does not matter, and you want 1 2 3 4 5 to be the same thing as  1 2 3 5 4 the problem is a combination problem. Ignoring the suits the answer is

52 C 5

which is 52 * 51 * 50 * 49 * 48 / 5! = 2598960

======================

I don't know how far into the course you are but the actual answer would have to account for the suits. This solution assumes that the actual card drawn remains upside down, that is, if it is the king of hearts, you don't know it.

Variance

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma [tex]\sigma[/tex], while the variance measures how far a set of  numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as [tex]\sigma^{2}[/tex]

Answer:

Required probability = 1/6

Step-by-step explanation:

It is given that,

A red die is tossed the a green die is tossed

The possible outcomes of getting number greater than three when tossing red die  are, 4, 5, and 6

The probability of tossing red die = 3/6

The possible outcomes of getting number less than three when tossing green die  are 1 and 2

Probability of tossing green = 2/6

To find the required probability

Probability of getting red die shows greater than three and gree die shows less than three = (3/6)*(2/6) = 1/6

Answer:

Part 41) The solutions are 3 and 1

Part 42) The solution is 2 only

Step-by-step explanation:

Part 41) we have

[tex]\left|5x-9\right|=x+3[/tex]

step 1

Find the first solution (case positive)

[tex]+(5x-9)=x+3[/tex]

[tex]5x-x=3+9[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

step 2

Find the second solution (case negative)

[tex]-(5x-9)=x+3[/tex]

[tex]-5x+9=x+3[/tex]

[tex]5x+x=9-3[/tex]

[tex]6x=6[/tex]

[tex]x=1[/tex]

therefore

The negative case was resolved incorrectly

The solutions are 3 and 1

Part 42) we have

[tex]\left|n-7\right|=3n-1[/tex]  

step 1

Find the first solution (case positive)

[tex]+(n-7)=3n-1[/tex]    

[tex]3n-n=-7+1[/tex]

[tex]2n=-6[/tex]

[tex]n=-3[/tex]

Verify

For n=-3

substitute

[tex]\left|-3-7\right|=3(-3)-1[/tex]

[tex]\left|-10\right|=-9-1[/tex]  

[tex]10=-10[/tex]   ------> is not true

therefore

[tex]n=-3[/tex] -------> is not a solution

step 2

Find the second solution (case negative)

[tex]-(n-7)=3n-1[/tex]

[tex]-n+7=3n-1[/tex]

[tex]3n+n=7+1[/tex]

[tex]4n=8[/tex]

[tex]n=2[/tex]

therefore

The solution is 2

Answer:

2 out of 5 or 6 out of 15

Step-by-step explanation:

In this pattern, there is two people ordering it every five times. You can write it out as 6/15 or simplify it as 2/5 (six-fifteenths and two-fifths)

The simulated probability that a customer will order the small beverage is:

                 [tex]\dfrac{2}{5}=0.4[/tex]

The  1, 2, and 3 to represent small, medium, and large, respectively.

The simulation is as follows:

2   2   3   1   1   2   2   3   1   1    3    2   1    1    3

There are a total outcomes= 15

Also, the number of outcomes that the customer will order small beverage is: 6

( Since,  6 times such that 1 has occurred.

As 1 represent the simulation that the beverage comes in small size )

Hence, the simulated probability is:

       [tex]\dfrac{6}{15}=\dfrac{2}{5}=0.4[/tex]

Answer:

  segment PQ and segment P double prime Q double prime are congruent after the translation, but not after the dilation

Step-by-step explanation:

Translation and dilation have no effect on angles. All angles are congruent after either or both of translation and dilation.

Translation has no effect on size, so segments are congruent after translation. Dilation changes size, so segments are not congruent after dilation.

___

Comment on the problem wording

Ordinarily, the first transformation (translation) would result in figure P'Q'R', so P'Q' would be congruent to PQ. Then the second transformation (dilation) would change figure P'Q'R' to figure P''Q'' R'', which is no longer congruent to either figure P'Q'R' or figure PQR.

That is, talking about "segment P double prime Q double prime ... after the translation, but not the dilation" makes no sense, because there is no such segment. The segment that exists after the translation, but not the dilation, is segment P'Q'.

Answer:

line PQ and line P double prime Q double prime are congruent after the translation, but not after the dilation

Step-by-step explanation:

Answer:

  Let (x+1) = the larger number

Step-by-step explanation:

Two consecutive numbers differ by 1. The larger is 1 more than the smaller. The expression for 1 more than x is (x+1).

Answer:

[tex]\frac{\sqrt{x} }{2x}[/tex]

Step-by-step explanation:

Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here.  We are merely simplifying.)

[tex]\frac{\sqrt{5x} }{x\sqrt{20} } *\frac{\sqrt{20} }{\sqrt{20} } =\frac{\sqrt{100x} }{20x}[/tex]

Now simplify by taking the square root of 100 to get:

[tex]\frac{10\sqrt{x} }{20x}[/tex]

Divide numerator and denomiator by 10 to get:

[tex]\frac{\sqrt{x} }{2x}[/tex]

Answer:

Option C. positive

Step-by-step explanation:

we know that

If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions

If the discriminant of a quadratic function is zero, then the quadratic function has one real solution

If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions

In this problem

The quadratic function has two real solutions (x-intercepts)

therefore

The discriminant is positive

Answer: Option C: Positive

Step-by-step explanation: Answer for Apex

Answer:

  46°

Step-by-step explanation:

When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:

  ∠A = (arcDC -arcBC)/2

  12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers

  24° = arcDC -22° . . . . . . . . . multiply by 2

  46° = arcDC . . . . . . . . . . . . . add 22°

Answer:

[tex]3x-4y=-40[/tex]

Step-by-step explanation:

The standard form of a linear equation is  [tex]ax+by=c[/tex].

The given line has equation:

[tex]y-4=\frac{3}{4}(x+8)[/tex]

This is the point-slope form of the given line.

To find the standard form, we clear the fraction

[tex]4y-16=3(x+8)[/tex]

We expand the parenthesis now to get:

[tex]4y-16=3x+24[/tex]

We group the variables on the LHS and the constants on the RHS.

[tex]4y-3x=24+16[/tex]

[tex]-3x+4y=40[/tex]

Multiply through by -1

[tex]3x-4y=-40[/tex]

This is of the form: [tex]ax+by=c[/tex].

Vacations are not a typical application of investors' money as they do not contribute to future profitability or growth of a business, unlike product improvement, expansion, or employee salaries.

The question asks about a typical application of investors' money which is not common. Of the options provided, vacations would not be a typical application of investor funds. Investors typically allocate capital to a business with the expectation of earning future profits.

Common expenses that may constitute investment in a firm include product improvement, expansion, and even employee salaries, as these are directly related to the operations and growth potential of the business.

Capital invested in the business is expected to generate future income and growth, through means such as buying long-term assets like machinery, building new plants, or initiating research and development projects. It's unlikely that investors would find vacations a viable investment category as it generally does not contribute to the future profitability or growth of a business enterprise.

Answer:

7/x or x/7 i believe

Step-by-step explanation:

I'm relearning them so hope i helped you!

Answer:

[tex]\frac{7}{x}[/tex]

Step-by-step explanation:

Let x represent the number.

We are supposed to write an expression for our given statement.

We have been given that the quotient of 7 and a number. This means that 7 is divided by the number 'x'.

We can represent this information in an expression as:

[tex]\frac{7}{x}[/tex]

Therefore, our required expression would be [tex]\frac{7}{x}[/tex].

Answer:

  see below

Step-by-step explanation:

(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.

__

(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)

_____

About how

As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.

(sin x)/(1-cosx) + sinx/(1-cosx) =

2 csc x

We have like denominators.

Just add the numerators.

(2 sin x)/(1 - cos x) = 2 csc x

[1/(1 - cos x)](2 sin x) = 2 csc x

Take it from here.

Answer:

a ) sin x ( \frac{sinx}{cosx}*cosx- \frac{cosx}{sinx}+*cos x)= \\ sinx(sinx- \frac{cos^{2} x}{sin^{2} x})=
sin^{2}x-cos^{2} x=1-cos^{2}x-cos^{2} x= \\ 1-2cos^{2}x    

b ) 1 +  \frac{1}{cos^{2} x} *sin^{2} x=1+ \frac{sin^{2} x}{cos^{2} x} = \\  \frac{cos {2} x+sin x^{2} x}{cos^{2} x} = \frac{1}{cos^{2} x} =sec^{2} x

c) \frac{sinx}{1-cosx} + \frac{sinx}{1+cosx}= \frac{sin x ( 1+cosx)+sinx(1-cosx)}{1-cos^{2} x} = \\  \frac{sinx+sinxcosx+sinx-sinxcosxx}{1-cos^{2}x }= \\  \frac{2sinx}{sin^{2} x}   =  \frac{2}{sinx}=2 csc x  

d) -tan ^{2}x+sec ^{2}x=- \frac{sin ^{2} x}{cos ^{2} x} + \frac{1}{cos^{2} x} = \\  \frac{1-sin^{2x} }{cos ^{2}x }= \frac{cos^{2} x}{cos^{2}x }  =1  

Step-by-step explanation:

Answer:

[tex]\large\boxed{d.\ -16\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}[/tex]

Step-by-step explanation:

The slope-intercept form of an euqtion of a line:

y = mx + b

m - slope

b - y-intercept

x = a (a - any real number)

It's the equation of a vertical line. A vertical line has an undefined slope. They also do not have a y-intercept, because they run parallel to the y axis.

Therefore given equations can not write in the slope-intercept form.