Use identities to simplify

Answer:

B. $580

Step-by-step explanation:

Value of the retirement fund after x years:

The value of the retirement fund after x years is given by the following function:

[tex]y(x) = 307.6(1.11)^x[/tex]

Which is best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made?

This is y(6). So

[tex]y(6) = 307.6(1.11)^6 = 575.34[/tex]

Close to $580, and thus, the correct answer is given by option B.

Answer:

B. $580 is best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made.

Thus it is little close to answer because actual answer is $575.34.

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

Answer:

Step-by-step explanation:

hope it helps u too

Đáp án là C: 8+25i nhé

8+ 25i

Answer:

C. 8+25i

Just took it, it's correct :)

Answer:

16%

Step-by-step explanation:

To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333  converted into a percentage is approximately 16%.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")

Answer:

so that you will multiply 15 * 4.

Step-by-step explanation:

15*4 = 60 now you divide 60 by 4 and the answer will be 15.

Answer:

0 or 1

Step-by-step explanation:

Given that Kelley  is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function

Answer is 0 or 1 point

Answer:

Step-by-step explanation:

The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

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

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

The solution is given below.

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

Refer to the fraction strip to show 3/4 & 6/8 are same.

Also if you reduce 6/8 by dividing 2 to numerator & denominator…

it’s 3/4.

The solution is attached below.

To learn more on number line click:

brainly.com/question/29162579

#SPJ2

27 is the answer

gbu...

Answer:

- 9 × - 3 = 27

Step-by-step explanation:

when we multiply two negative numbers then the sign of the product convert to positive sign

I.e( - )×( - )= (+) product

Answer:

y = -7

Step-by-step explanation:

Slope: 0

y-intercept: (0,−7)

Since the line doesn't change up, down, right, or left, and it stays on the y-axis, that's how u get y = . The straight line runs along -7 . That's how u get -7 . so when u put it all together u get: y = -7 .

Hope that helps. Tried to explain the best I could :)

Answer:

Chocolate Chip Cookies:

2

1

/

2

cups flour

3

/

4

cup sugar

1

tsp. baking soda

1

tsp. vanilla

3

/

4

teaspoon salt

2

eggs

1

cup butter

3

/

4

pound Chocolate Chips

Fractions:

A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.

A fraction that is less than 1 is called a Proper Fraction.

Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.

Example- A whole number and a fraction combined into one is called a MIxed Fraction.

Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.

Example-

5

3

4

=

(

4

×

5

)

+

3

4

=

23

4

Answer and Explanation:

9514 1404 393

Answer:

  {10, 12}

Step-by-step explanation:

The inequality can be simplified to ...

  2n -3 > 15 . . . . given

  2n > 18 . . . . . . add 3

  n > 9 . . . . . . . . divide by 2

Only two listed numbers are greater than 9:

  10, 12

Answer:

8

Step-by-step explanation:

Answer:

use the Desmos graphing calculator.  Type the first one in.  Then type your answer choices in.  See which lines are the same.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Just simplify

Answer:

The right answer is a.

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST

Answer:B

Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.

Given:

An elevation of - 12 m is higher than an elevation of -17 m.

An elevation of - 17 m is lower than an elevation of -14 m.

To find:

The set of inequalities that correctly expresses these relationships.

Solution:

An elevation of - 12 m is higher than an elevation of -17 m.

We know that, higher than means greater than and it is represented by the inequality ">". So,

[tex]-12>-17[/tex]

An elevation of - 17 m is lower than an elevation of -14 m.

We know that, lower than means less than and it is represented by the inequality "<". So,

[tex]-17<-14[/tex]

Therefore, the required set of inequalities is [tex]-12>-17[/tex] and [tex]-17<-14[/tex].

Note: The inequality signs are not proper in the options.

Answer:

dear please focus on other subjects not only on math

Answer:

Population = All Sandhill cranes bred and hatched in Alaska that migrate south

Sample = The 50 crane samples which are tagged yearly.

Step-by-step explanation:

The population refers to all members or subjects which belongs to a defined study. Each and every subject which meets the requirement of a study makes up the population.

The sample however, is a subset of the population, the sample is a smaller group of subject which is selected from the population randomly to for a representative sample of the population. Here, it is the 50 sampled sandhill cranes bed per year.

Answer:

These are the answers

Step-by-step explanation:

Step-by-step explanation:

my answer is in the image above

Answer:

19 boys

Step-by-step explanation:

38 kids on the bus

1/2 are girls, that means 1/2 are boys

1/2 * 38 = 19

There are 19 girls and 19 boys

Answer:

21 bows

Step-by-step explanation:

Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

For point a:

When Player A selects Top, Player B selects Left or Right.

Player B selects Right when player A selects Bottom

Thus, player B's best statement is correct.

When player B selects the left, then game A selects the top

When player B selects the right, player A selects the top

Hence, Player A's right response is Top.

For point b:

The main strategy inside the game is Player A, which would be Top. Since he won't choose Below except under situations since the payment to Bottom is below his payoff for Top irrespective of player B.

For point c:

Player A will purely pick Top & Player B right and player A also will pick Top and player B is right. Game A will's pattern. In this case, neither player has the motive to move away. There are two Nash balances since player B is paid the same amount, irrespective of what he's playing any strategy, as player A is always at the top.

For point d:

Consider if player B plays left with "q" probability and right with "1-q" probability. We're done

[tex]2q + 2(1-q) = 3q+4(1-q) \\\\2(1-q) - 4(1-q) = 3q - 2q \\\\-2(1 - q) = q \\\\-2 + 2q = q \\\\2q-q= 2 \\\\q= 2\\[/tex]

It is not possible since q is a chance that really can exceed 1. Hence, for this game, there is no mixed strategy nash balancing.

Answer:

[tex]1.\ Given[/tex]

[tex]2.\ IV \cong VE[/tex]

[tex]3.\ \angle GVI \cong \angle RVE[/tex]

[tex]4.\ ASA\ congruence[/tex]

[tex]5.\ GV \cong VR[/tex]

[tex]6.\ Proved[/tex]

Step-by-step explanation:

Given

See attachment for right question format

Required

Complete the blanks

1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.

So, the reason is Given

2. Midpoint means halfway. So, we can fill the statement column with:

[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE

or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR

3. Vertical angle are congruent. So, the statement is:

[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent

4. We have:

[tex]\triangle GVI \cong \triangle RVE[/tex] because

[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)

[tex]IV \cong VE[/tex] ---- congruent sides (S)

[tex]\angle GIV \cong \angle REV[/tex]  --- congruent angles (A)

The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence

5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]

Hence, both sides are congruent ----[tex]GV \cong VR[/tex]

6. The given statement has been prived

Answer:

Problem 20)

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

A)

The velocity function is:

[tex]\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))[/tex]

The acceleration function is:

[tex]\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))[/tex]

B)

[tex]s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}[/tex]

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

[tex]\displaystyle y=\left(\cos x\right)^x[/tex]

We can take the natural log of both sides. This yields:

[tex]\displaystyle \ln y = \ln((\cos x)^x)[/tex]

Since ln(aᵇ) = bln(a):

[tex]\displaystyle \ln y =x\ln \cos x[/tex]

Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right][/tex]

Implicitly differentiate the left and use the product rule on the right. Therefore:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)[/tex]

Simplify:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}[/tex]

Simplify and multiply both sides by y:

[tex]\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)[/tex]

Since y = (cos x)ˣ:

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

We are given the position function of a particle:

[tex]\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)[/tex]

A)

Recall that the velocity function is the derivative of the position function. Hence:

[tex]\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}[/tex]

The acceleration function is the derivative of the velocity function. Hence:

[tex]\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}[/tex]

B)

The position at t = 0 will be:

[tex]\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}[/tex]

The velocity at t = 0 will be:

[tex]\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}[/tex]

And the acceleration at t = 0 will be:

[tex]\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}[/tex]

An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x   ==>   x - y = 0 and y = x - 1   ==>   x - y = 1), and 0 < v < 1.

Solve for x and y in terms of u and v :

u - v = (x - y) - (x + 2y) = -3y   ==>   y = (v - u)/3

2u + v = 2 (x - y) + (x + 2y) = 3x   ==>   x = (2u + v)/3

Compute the Jacobian and its determinant:

[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]

Now in the integral, we have

[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]