How many rays are in the next two terms in the sequence?

How Many Rays Are In The Next Two Terms In The Sequence?

Answers

Answer 1

The sequnce is

2, 3, 5, 9, ....

this sequence follows the next formula:

[tex]a_n=2^{n-1}+1[/tex]

where an is the nth term.

[tex]\begin{gathered} a_1=2^{1-1}+1=1 \\ a_2=2^{2-1}+1=3 \\ a_3=2^{3-1}+1=5 \\ a_4=2^{4-1}+1=9 \\ a_5=2^{5-1}+1=17 \\ a_6=2^{6-1}+1=33 \end{gathered}[/tex]

The next two terms are 17 and 33


Related Questions

Which of the following steps were applied to ABC obtain A’BC’?

Answers

Given,

The diagram of the triangle ABC and A'B'C' is shown in the question.

Required:

The translation of triangle from ABC to A'B'C'.

Here,

The coordinates of the point A is (2,5).

The coordinates of the point A' is (5,7)

The translation of the triangle is,

[tex](x,y)\rightarrow(x+3,y+2)[/tex]

Hence, shifted 3 units right and 2 units up.

2. Axely says that 8is equivalent to –.125repeating. Without solving, evaluate her claim in thespace below.

Answers

we are asked about the claim that the fraction -12 / 8 is equivalent to the decimal expression -0.125... (repeating)

Without evaluating the expression, we can say that the clain is INCORRECT, since just the quotient 12/8 should give a number LARGER than "1" (one) in magnitude (the number 12 is larger than the number 8 in the denominator. We can also say that such division cannot ever give a repeating decimal at infinity, since divisions of integer numbers by 8 or 4 never render a repeating decimal, but a finite number of decimals.

A bag of tokens contains 55 red, 44 green, and 55 blue tokens. What is the probability that a randomly selected token is not red? Enter your answer as a fraction.

Answers

Explanation

In the bag of tokens, we are told 55​ red, 44​ green, and 55​ blue tokens. Therefore, the total number of tokens in the bag is

[tex]55+44+55=154[/tex]

Hence to find the probability that a randomly selected token is not red becomes;

[tex]Pr(not\text{ red black})=\frac{n(green)+n(blue)}{n(tokens)}=\frac{44+55}{154}=\frac{99}{154}=\frac{9}{14}[/tex]

Answer: 9/14

Solve for t. If there are multiple solutions, enter them as a

Answers

we have the equation

[tex]\frac{12}{t}+\frac{18}{(t-2)}=\frac{9}{2}[/tex]

Solve for t

step 1

Multiply both sides by 2t(t-2) to remove fractions

[tex]\frac{12\cdot2t(t-2)}{t}+\frac{18\cdot2t(t-2)}{(t-2)}=\frac{9\cdot2t(t-2)}{2}[/tex]

simplify

[tex]12\cdot2(t-2)+18\cdot2t=9\cdot t(t-2)[/tex][tex]24t-48+36t=9t^2-18t[/tex][tex]\begin{gathered} 60t-48=9t^2-18t \\ 9t^2-18t-60t+48=0 \\ 9t^2-78t+48=0 \end{gathered}[/tex]

Solve the quadratic equation

Using the formula

a=9

b=-78

c=48

substitute

[tex]t=\frac{-(-78)\pm\sqrt[]{-78^2-4(9)(48)}}{2(9)}[/tex][tex]t=\frac{78\pm66}{18}[/tex]

The solutions for t are

t=8 and t=2/3

therefore

the answer is

t=2/3,8

Find seco, coso, and coto, where is the angle shown in the figure.Give exact values, not decimal approximations.

Answers

step 1

Find out the value of cosθ

cosθ=8/17 ------> by CAH

step 2

Find out the value of secθ

secθ=1/cosθ

secθ=17/8

step 3

Find out the length of the vertical leg in the given right triangle

Applying the Pythagorean Theorem

17^2=8^2+y^2

y^2=17^2-8^2

y^2=225

y=15

step 4

Find out the value f cotθ

cotθ=8/15 -----> adjacent side divided by the opposite side

therefore

secθ=17/8cosθ=8/17cotθ=8/15

A recent survey asked respondents how many hours they spent per week on the internet. Of the 15 respondents making$2,000,000 or more annually, the responses were: 0,0,0,0,0, 2, 3, 3, 4, 5, 6, 7, 10, 40 and 70. Find a point estimate of thepopulation mean number of hours spent on the internet for those making $2,000,000 or more.

Answers

Given

The total frequency is 15 respondents

The responses were: 0,0,0,0,0, 2, 3, 3, 4, 5, 6, 7, 10, 40 and 70

Solution

The population mean is the sum of all the values divided by the total frequency .

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marie invested 10000 in a savings account that pays 2 interest quartarly 4 times a yesr. how much money will she have in her account in 7 years?

Answers

Okey, here we have the following:

Capital: 10000

Interest: 2%

Time: 7 Years= 7*4=28 quarters of year

Using the compound interest formula, we get:

[tex]C_f=10000(1+\frac{0.02}{4})^{4\cdot7}=1000(1+\frac{0.02}{4})^{28}[/tex]

Working we get:

[tex]C_f\approx11.498.73[/tex]

She will have aproximately $11,498.73 in her account after 7 years.

Fill In the proportion No explanation just need answer got disconnected from last tutor

Answers

Explanation

Since the given shapes are similar, which implies that they are proportional,

Therefore; we will have

Answer:

[tex]\frac{AB}{EF}=\frac{BC}{FG}[/tex]

What is an equation of the line that passes through the points (-3,3) and (3, — 7)?Put your answer in fully reduced form.

Answers

The equation of line passing through two points (x_1,y_1) and (x_2,y_2) is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the points in the equation to obtain the equation of line.

[tex]\begin{gathered} y-3=\frac{-7-3}{3-(-3)}(x-(-3)) \\ y-3=\frac{-10}{6}(x+6) \\ 3(y-3)=-5(x+6) \\ 3y-9+5x+30=0 \\ 3y+5x+21=0 \end{gathered}[/tex]

So equation of line is 3y+5x+21=0.

The elimination method is used in place over substitution when one equation is not easily solved for ______________ variable.A) a standardB) a dependentC) an independentD) a single

Answers

Given:

There are given the statement about the elimination method and substitution method.

Explanation:

According to the concept:

One equation cannot be easily solved for a single variable.

Final answer:

Hence, the correct option is D.

Where are all the tutors at??? Like it won’t even let me ask a tutor

Answers

The scatter plot is given and objective is to find the best line of fit for given scatter plot.

Let's take the few points of scatter plot,

(0,8) ,( -1,8) , (-4,10) ,( -8,12),(-10,14) (-12,14)

Take the line and check which graph contains most of the points of scatter plot.

[tex]1)\text{ f(x)=}\frac{-1}{2}x+8[/tex]

The graph is ,

now take ,

[tex]2)\text{ f(x)=x+8}[/tex]

The graph is,

This graph contains only one point of scatter plot.

Take,

[tex]3)\text{ f(x)= 10}[/tex]

Now the take the last equation,

[tex]4)\text{ f(x)=-2x+14}[/tex]

this graph contains no point of the scatter plot.

From all the four graph of the lines it is observed that option 1) is the best line of fit for given scatter plot. because it contains 3 points of scatter plotes . which is more than the other graph of line.

Answer: Option 1)

how do you find the x intercept for -(x-3)^2+12

Answers

[tex]y=mx+b[/tex]

This is the equation for the line.

Here the given equation is,

[tex]-(x-3)^2+12[/tex]

We can calculate x intercept by substituting 0 for y, as there is no value of y,

the x intercept is none here. The graph is as follows,

Fragment Company leased a portion of its store to another company for eight months beginning on October 1, at a monthly rate of $1,250. Fragment collected the entire $10,000 cash on October 1 and recorded it as unearned revenue. Assuming adjusting entries are only made at year-end, the adjusting entry made on December 31 would be:

Answers

Given:

Credit to rent earned for

Amount of total rent = $10,000

Amount unearned = amount of total rent ( 3 month / 8 month)

[tex]\begin{gathered} \text{Amount unearned=10000}\times\frac{3}{8} \\ =3750 \end{gathered}[/tex]

Unearned rent is : $3750

7. The cylinder shown has a radius of 3inches. The height is three times the radiusFind the volume of the cylinder. Round yoursolution to the nearest tenth.

Answers

Answer:

250 cubic inches

Explanation:

Given that:

Radius of the cylinder, = 3 in.

Height of the cylinder = 3r

= 3(3)

=9 in.

The formula to find the volume of a cylinder is

[tex]V=\pi r^2h[/tex]

Plug the given values into the formula.

[tex]\begin{gathered} V=\pi3^29 \\ =81\pi \\ =254.469 \end{gathered}[/tex]

Rounding to nearest tenth gives 250 cubic inches, which is the required volume of the cylinder.

For a period of d days an account balance can be modeled by f(d) = d^ 3 -2d^2 -8d +3 when was the balance $38

Answers

Given a modelled account balance for the period of d days as shown below:

[tex]\begin{gathered} f(d)=d^3-2d^2-8d+3 \\ \text{where,} \\ f(d)\text{ is the account balance} \\ d\text{ is the number of days} \end{gathered}[/tex]

Given that the account balance is $38, we would calculate the number of days by substituting for f(d) = 38 in the modelled equation as shown below:

[tex]\begin{gathered} 38=d^3-2d^2-8d+3 \\ d^3-2d^2-8d+3-38=0 \\ d^3-2d^2-8d-35=0 \end{gathered}[/tex]

Since all coefficients of the variable d from degree 3 to 1 are integers, we would apply apply the Rational Zeros Theorem.

The trailing coefficient (coefficient of the constant term) is −35.

Find its factors (with plus and minus): ±1,±5,±7,±35. These are the possible values for dthat would give the zeros of the equation

Lets input x= 5

[tex]\begin{gathered} 5^3-2(5)^2-8(5)-35=0 \\ 125-2(25)-40-35=0 \\ 125-50-75=0 \\ 125-125=0 \\ 0=0 \end{gathered}[/tex]

Since, x= 5 is a zero, then x-5 is a factor.

[tex]\begin{gathered} d^3-2d^2-8d-35=(d-5)(d^2+3d+7)=0 \\ (d-5)(d^2+3d+7)=0 \\ d-5=0,d^2+3d+7=0 \\ d=0, \end{gathered}[/tex][tex]\begin{gathered} \text{simplifying } \\ d^2+3d+7\text{ would give} \\ d=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ a=1,b=3,c=7 \end{gathered}[/tex][tex]\begin{gathered} d=\frac{-3\pm\sqrt[]{3^2-4\times1\times7}}{2\times1} \\ d=\frac{-3\pm\sqrt[]{9-28}}{2} \\ d=\frac{-3\pm\sqrt[]{-17}}{2} \end{gathered}[/tex]

It can be observed that the roots of the equation would give one real root and two complex roots

Therefore,

[tex]d=5,d=\frac{-3\pm\sqrt[]{-17}}{2}[/tex]

Since number of days cannot a complex number, hence, the number of days that would give a balance of $38 is 5 days

A) What is the perimeter of the regular hexagon shown above?B) What is the area of the regular hexagon shown above?(see attached image)

Answers

Remember that

A regular hexagon can be divided into 6 equilateral triangles

the measure of each interior angle in a regular hexagon is 120 degrees

so

see the attached figure to better undesrtand the problem

each equilateral triangle has three equal sides

the length of each side is given and is 12 units

Part A) Perimeter

the perimeter is equal to

P=6(12)=72 units

Part B

Find the area

Find the height of each equilateral triangle

we have

tan(60)=h/6

Remember that

[tex]\tan (60^o)=\sqrt[]{3}[/tex]

therefore

[tex]h=6\sqrt[]{3}[/tex]

the area of the polygon is

[tex]A=6\cdot\lbrack\frac{1}{2}\cdot(6\sqrt[]{3})\cdot(12)\rbrack[/tex][tex]A=216\sqrt[]{3}[/tex]alternate way to find out the value of h

applying Pythagorean Theorem

12^2=6^2+h^2

h^2=12^2-6^2

h^2=108

h=6√3 units

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object. Scale factor. 4:1 10 in 10 in A C 12 in Scale drawing Object A. Side a is 6 inches long, side bis 6 inches long, and side cis 8 inches long. B. Side a is 14 inches long, side bis 14 inches long, and side cis 16 inches long. C. Side a is 40 inches long, side bis 40 inches long, and side c is 48 inches long D. Side a is 2.5 inches long, side bis 2.5 inches long, and side cis 3

Answers

As the scale factor is 4:1 it means that for each 4inches in scale drawing correspond to 1 inch in the object.

Then, to find the side lengths in the object you multiply the measure of each side in the scale drawing by 1/4:

[tex]\begin{gathered} 10in\cdot\frac{1}{4}=2.5in \\ \\ 10in\cdot\frac{1}{4}=2.5in \\ \\ 12in\cdot\frac{1}{4}=3in \end{gathered}[/tex]Then, side a is 2.5 inches, side b is 2.5in and side c is 3inches

There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

The probability of getting exactly 1 blue marble from a bag which is  filled with 5 blue and 4 red marbles is 40/81.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A bag is filled with 5 blue and 4 red marbles.

The total number of marble in the bag are,

5+4=9

One marble is taken at random from the bag, the color is noted and then it is replaced. The probability of getting blue marble is,

P(B)=5/9

probability of getting red marble is,

P(R)=4/9

The Probability of getting red marble in first pick and  probability of getting blue marble in second pick

P1=5/9×4/9=20/81

The Probability of getting blue marble in first pick and probability of getting red marble in second pick is,

p2=4/9×5/9=20/81

The exactly 1 blue is taken out, when first marble is red and second is blue or the first one is blue and second one is red. Thus, the probability of getting exactly 1 blue is,

P=p1+p2

=20/81+20/81

40/81

Hence the probability of getting exactly 1 blue marble from a bag which is  filled with 5 blue and 4 red marbles is 40/81.

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In the given figure ABC is a triangle inscribed in a circle with center O. E is the midpoint of arc BC . The diameter ED is drawn . Prove that ​

Answers

Answer:

  we can use two ways to write 180° along with the inscribed angle theorem to obtain the desired relation

Step-by-step explanation:

Given ∆ABC inscribed in a circle O where E is the midpoint of arc BC and ED is a diameter, you want to prove ∠DEA = 1/2(∠B -∠C).

Setup

We can add add arcs to make 180° in two different ways, then equate the sums.

  arc EB +arc BA +arc AD = 180°

  arc EC +arc CA -arc AD = 180°

Equating these expressions for 180°, we have ...

  arc EB +arc BA +arc AD = arc EC +arc CA -arc AD

Solution

Recognizing that arc EB = arc EC, we can subtract (arc EB +arc BA -arc AD) from both sides to get ...

  2·arc AD = arc CA -arc BA

The inscribed angle theorem tells us ...

arc AD = 2∠DEAarc CA = 2∠Barc BA = 2∠C

Making these substitutions into the above equation, we have ...

  4∠DEA = 2∠B -2∠C

Dividing by 4 gives the relation we're trying to prove:

  ∠DEA = 1/2(∠B -∠C)

PLEASE READ BEFORE ANSWERING: ITS ALL ONE QUESTION HENCE "QUESTION 6" THEY ARE NOT INDIVIDUALLY DIFFERENT QUESTIONS.

Answers

First, lets note that the given functions are polynomials of degree 2. Since the domain of a polynomial is the entire set of real numbers, the domain for all cases is:

[tex](-\infty,\infty)[/tex]

Now, lets find the range for all cases. In this regard, we will use the first derivative criteria in order to obtain the minimum (or maximim) point.

case 1)

In the first case, we have

[tex]\begin{gathered} 1)\text{ }\frac{d}{dx}f(x)=6x+6=0 \\ which\text{ gives} \\ x=-1 \end{gathered}[/tex]

which corresponds to the point (-1,-8). Then the minimum y-value is -8 because the leading coefficient is positive, which means that the curve opens upwards. So the range is

[tex]\lbrack-8,\infty)[/tex]

On the other hand, the horizontal intercept (or x-intercept) is the value of the variable x when the function value is zero, that is,

[tex]3x^2+6x-5=0[/tex]

which gives

[tex]\begin{gathered} x_1=-1+\frac{2\sqrt{6}}{3} \\ and \\ x_2=-1-\frac{2\sqrt{6}}{3} \end{gathered}[/tex]

Case 2)

In this case, the first derivative criteria give us

[tex]\begin{gathered} \frac{d}{dx}g(x)=2x+2=0 \\ then \\ x=-1 \end{gathered}[/tex]

Since the leading coefficient is positive, the curve opens upwards so the point (-1,5) is the minimum values. Then, the range is

[tex]\lbrack5,\infty)[/tex][tex]\lbrack5,\infty)[/tex]

and the horizontal intercepts do not exists.

Case 3)

In this case, the first derivative criteris gives

[tex]\begin{gathered} \frac{d}{dx}f(x)=-2x=0 \\ then \\ x=0 \end{gathered}[/tex]

Since the leading coeffcient is negative the curve opens downwards and the maximum point is (0,9). So the range is

[tex](-\infty,9\rbrack[/tex]

and the horizontal intercepts occur at

[tex]\begin{gathered} -x^2+9=0 \\ then \\ x=\pm3 \end{gathered}[/tex]

Case 4)

In this case, the first derivative yields

[tex]\begin{gathered} \frac{d}{dx}p(t)=6t-12=0 \\ so \\ t=2 \end{gathered}[/tex]

since the leading coefficient is postive the curve opens upwards and the point (2,-12) is the minimum point. Then the range is

[tex]\lbrack-12,\infty)[/tex]

and the horizontal intercetps ocurr when

[tex]\begin{gathered} 3x^2-12x=0 \\ which\text{ gives} \\ x=4 \\ and \\ x=0 \end{gathered}[/tex]

Case 5)

In this case, the leading coefficient is positive so the curve opens upwards and the minimum point ocurrs at x=0. Therefore, the range is

[tex]\lbrack0,\infty)[/tex]

and thehorizontal intercept is ('0,0).

In summary, by rounding to the nearest tenth, the answers are:

Solve for x. Then find m (8x+4)°
(10x-6)°
Both lines are intersecting and the two equations are vertical pairs

Answers

Answer:

x = 5

m∠QRT = 44

Step-by-step explanation:

8x + 4 = 10x - 6

-10x       -10x

------------------------

-2x + 4 = -6

      -4      -4

---------------------

-2x = -10

÷-2    ÷-2

--------------------

x = 5

m∠QRT

8x + 4

8(5) + 4

40 + 4 = 44

I hope this helps!

Solution:

From the image, [tex](8x + 4 )° = (10x - 6)°[/tex]

Reason: Vertically opposite angles are equal.

Now, we solve for x

[tex]8x + 4 = 10x - 6[/tex]

collect like terms

[tex] 4 + 6 = 10x - 8x[/tex]

[tex]→ 10 = 2x[/tex]

Divide both sides by the coefficient of x to find the value of x

[tex] x = 5[/tex]

Now, substitute for the value of x in the expression for mQRT to find the degree

[tex](8x + 4 )° → (8(5) + 4)°[/tex]

Therefore: m∠QRT = 44°

I hope this helps

Which of the following ordered pairs is a solution to the graph of the system of inequalities? Select all that apply(5.2)(-3,-4)(0.-3)(0.1)(-4,1)

Answers

For this type of question, we should draw a graph and find the area of the common solutions

[tex]\begin{gathered} \because-2x-3\leq y \\ \therefore y\ge-2x-3 \end{gathered}[/tex][tex]\begin{gathered} \because y-1<\frac{1}{2}x \\ \therefore y-1+1<\frac{1}{2}x+1 \\ \therefore y<\frac{1}{2}x+1 \end{gathered}[/tex]

Now we can draw the graphs of them

The red line represents the first inequality

The blue line represents the second inequality

The area of the two colors represents the area of the solutions,

Let us check the given points which one lies in this area

Point (5, -2) lies on the area of the solutions

(5, -2) is a solution

Point (-3, -4) lies in the blue area only

∴ (-3, -4) not a solution

Point (0, -3) lies in the red line and the red line is solid, which means any point on it will be on the area of the solutions

(0, -3) is a solution

Point (0, 1) lies in the blue line and the blue line is dashed, which means any point that lies on it not belong to the area of the solutions

∴ (0, 1) is not a solution

Point (-4, 1) lies on the area of the solutions

(-4, 1) is a solution

The solutions are (5, -2), (0, -3), and (-4, 1)

identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the graph of its parent function

Answers

Given the function:

[tex]g(x)=cos4x[/tex]

Let's find the amplitude and period of the function.

Apply the general cosine function:

[tex]f(x)=Acos(bx+c)+d[/tex]

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

[tex]\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

[tex]f(x)=cosx[/tex]

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.

Find the axis of symmetry, vertex and which direction the graph opens, and the y-int for each quadratic function

Answers

Solution

Part a

The axis of symmetry

Part b

The vertex

Vertex (2,3)

Part c

The graph opens downward

Part D

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.

The y-intercept

[tex](0,-5)[/tex]

Another

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.

[tex]\begin{gathered} y=-2x^2+8x-5 \\ y=-2(0)+8(0)-5 \\ y=0+0-5 \\ y=-5 \end{gathered}[/tex]

x=0 y=-5

[tex](0,-5)[/tex]

sum 0f 5 times a and 6

Answers

Answer:

30a

Step-by-step explanation:

find the value of x so that the function has the given value

j(x) = -4/3x + 7; j (x) = -5​

Answers

Answer:

x = 13 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

j(x)   =  [tex]\frac{-4}{3}[/tex] x + 7  Substitute -5 for x

j(-5) = [tex]\frac{-4}{3 }[/tex] ( -5) + 7  

or

j(-5) =[tex](\frac{-4}{3})[/tex] [tex](\frac{-5}{1})[/tex] + 7  A negative times a negative is a positive

j(-5) = [tex]\frac{20}{3}[/tex] + 7

j(-5) = [tex]\frac{20}{3}[/tex] + [tex]\frac{21}{3}[/tex]     [tex]\frac{21}{3}[/tex] means the same thing as 7

j(-5) = [tex]\frac{41}{3}[/tex] = 13 [tex]\frac{2}{3}[/tex]

Perform the indicated operation and write the answer in the form A+Bi

Answers

The Solution:

Given:

[tex](3+8i)(4-3i)[/tex]

We are required to simplify the above expression in a+bi form.

Simplify by expanding:

[tex]\begin{gathered} (3+8i)(4-3i) \\ 3(4-3i)+8i(4-3i) \\ 12-9i+32i-24(-1) \end{gathered}[/tex]

Collecting the like terms, we get:

[tex]\begin{gathered} 12-9i+32i+24 \\ 12+24-9i+32i \\ 36+23i \end{gathered}[/tex]

Therefore, the correct answer is [option 3]

Solve the equation3 x² - 12x +1 =0 by completing the
square.

Answers

By completing squares, we wll get that the solutions of the quadratic equation are:

x = 6 ± √35

How to complete squares?

Here we have the quadratic equation:

x² - 12x + 1 = 0

We can rewrite this as:

x² - 2*6x + 1 = 0

So we can add and subtract 6² to get:

x² - 2*6x + 1 + 6² - 6²  = 0

Now we rearrange the terms:

(x² - 2*6x + 6²) + 1 - 6² = 0

Now we can complete squares.

(x - 6)² + 1 - 36 = 0

(x - 6)² = 35

Now we solve for x:

x = 6 ± √35

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Your parents will retire in 25 years. They currently have $230,000 saved, and they think they will need $1,850,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places.

Answers

6.62% is annual interest rate must they earn to reach their goal.

 

What exactly does "interest rate" mean?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

N = 25

PV = - $230,000

FV =  $1,850,000

PMT = 0

CPT Rate

Applying excel formula:

=RATE(25,0,-230,000,1,850,000)

=  6.62%

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Use mental math to find all of the quotients equal to 50. Drag the correct division problems into the box.

4
,
500
÷
900

450
÷
90

45
,
000
÷
900

4
,
500
÷
90

450
÷
9

Quotients equal to 50

Answers

Answer: 45,000 ÷ 900=50

Step-by-step explanation:

Other Questions
A bag contains: 3 red marbles 2 2 orange marbles 1 yellow marble 4 green marblesA marble is drawn from the bag and replaced 150times. How many times can you predict that a greenmarble or yellow marble will be drawn? Write 0.000000000054 in scientific notation Which of the following rational functions is graphed below? which theory suggests that individual prefer feeling in control of their actions and that anything that makes an enjoyable task feel like an obligation undermines motivation? Q.34 1984 What is the shop owners motive when he asks, But who cares about genuine antiques nowadayseven the few that's left?Select one:a. The motive is to create more interest in Winston.b. The motive is to make Winston leave the store before the purchase.c. The motive is to show that in his heart he does not want to part with the item.d. The motive is to show that he is an expert of old items. Given the equation below, how many moles of nitrogen gas (N2) areneeded to react with 7.5 moles of hydrogen gas (H2)?N2+ 3H2 >2 NH3 Rosa receives money from her relatives every year on her birthday. Last year, she received a total of $350. This year, she received $441. What is the percent of increase in Rosas annual birthday money? Find the perimeter of the rectangle. Write your answer in scientific notation.Area = 5.612 times 10^14 cm squared9.2 times 10^7cm is one side of the perimeter 2. The area of the arena is 2160 in.2 a) Will the arena fit on the rug? Show your work and explain your answer below. b) If the length of the arena is 60 inches, what is the width? c) If the arena fits, and is placed exactly in the middle of the rug, how much standing room on the rug could a drive have? Use your measurements from above to help you. ? 3. If 15 robots can fit on the arena floor at one time, how much space does each robot take up? Part AWhat is the first plot event that establishes the story's mysterioustone?Chloe uses magic in the least dangerous passage.The team turns on their headlamps. Nicholas hears an unidentified sound, like a person breathing deeplyNicholas notices a problem with his headlamp. In the cave of eternal Given vectors a=(3, 2) and b=(-5, 6), find 3a+2b.Write your answer in component form.-3a + 2b = A return to behavior characteristic of earlier development is called what Both bonds payable and notes payable are obligations that usually arise from borrowing money. This statement is. write a paragraph connecting the required terms from the curriculum & highlighting each Assuming a direct proportion between the distance and time, how far would they travel in 5 hours? Please help! Consider the following diagram where the regular polygon ABCDE has center at M, polygon DEHGF is irregular, and point D is on CF.Which of the following statements are correct? Select all that apply. when copper is heated with an excess of sulfur, copper(i) sulfide is formed. in a given experiment, 0.0970 moles of copper was heated with excess sulfur to yield 6.43 g copper(i) sulfide. what is the percent yield? Use the formula for n^P_r to evaluate the following expression. What effect does recording a capital expenditure as repairs and maintenance expense have on the financial statements of the current period?. In "A March in the Ranks Hard-Prest, and the Road Unknown," readers can infer the speaker is shocked by the scene he encounters when his troop stops at the church. Which lines from the poem support this inference? a) "We come to an open space in the woods, and halt by the dim-lighted building," b) "Till after midnight glimmer upon us the lights of a dim-lighted building," c) "Entering but for a minute I see a sight beyond all the pictures and poems ever made, d) "Tis a large old church at the crossing roads, now an impromptu hospital,"