Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Answer:

Step-by-step explanation:

Recursively Defined Function               Sequence

f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2         13, 39, 65, 91, ...

f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2

f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2

f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2

f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2         28, -112, 448, -1,792, ...

f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2         -24, -96, -384, -1,536, ...

__

The initial values are easily seen. They match f(1). The recursive functions can be tested to see if they match the offered sequences.

  sequence 1 has a common ratio of 4 (not -4)

  sequence 2 has a common ratio of -4 (it is not arithmetic)

  sequence 3 has a common difference of 26 (it is not geometric)

Answer:

1 is sequence 3

5 is sequence 2

6 is sequence 1

(These r not included in the test, so don't use them)

 |

\ /

2 is no matching sequence

3 is no matching sequence

4 is no matching sequence

Step-by-step explanation:

PLATO

Answer:

500

Step-by-step explanation:

350/70%=500

Answer:

the first, second and last option are all correct

Step-by-step explanation:

just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.

a square have two pairs of parallel sides, making the fourth one incorrect

and a square is also a rectangle so the third one is wrong as well!! :)

Answer:

£1960

Step-by-step explanation:

Step 1.

2% = 100% ÷ 50

Step 2.

£2000 ÷ 50 = £40

Step 3.

£2000 - £40 = £1960

Answer:

[tex]w=\frac{t+8}{3}[/tex]

Step-by-step explanation:

[tex]3w - 8 = t[/tex]

Add 8 on both sides.

[tex]3w - 8 + 8 = t + 8[/tex]

[tex]3w = t + 8[/tex]

Divide both sides by 3.

[tex]\frac{3w}{3} =\frac{t+8}{3}[/tex]

[tex]w=\frac{t+8}{3}[/tex]

The value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.

It is defined as the combination of constants and variables with mathematical operators.

We have an equation:

3w - 8 = t

To solve for w in terms of t

Make the subject as w

In the equation:

3w - 8 = t

Add 8 on both sides:

3w - 8 + 8 = t + 8

3w = t + 8

Divide by 3 on both sides:

3w/3 = (t + 8)/3

w = (t + 8)/3

The equation represents a function of w in terms of t

As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Thus, the value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.

Learn more about the expression here:

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#SPJ2

Answer:

117.984ft^2

Step-by-step explanation:

To find the area of a circle the formula is PiR^2 so the area for the full 360 degree circle is. 530.929 ft^2.

Now that we know this we can use a ratio.

530.929/360=x/80

u divide out the left side and multiply it by 80.

so that shows that the area of this circle is

117.984ft^2

Answer:

(10, -29)

Step-by-step explanation:

I assume you are looking for the solution to this system of equations.

Plug them both into a graphing calculator. The point where they cross is:

(10, -29)

Answer:(10, -29)

Step-by-step explanation:

Answer:

The position of the particle is described by [tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]

Step-by-step explanation:

The position function is obtained after integrating twice on acceleration function, which is:

[tex]a(t) = 2\cdot t + 5[/tex], [tex]\forall t \geq 0[/tex]

Velocity

[tex]v(t) = \int\limits^{t}_{0} {a(t)} \, dt[/tex]

[tex]v(t) = \int\limits^{t}_{0} {(2\cdot t + 5)} \, dt[/tex]

[tex]v(t) = 2\int\limits^{t}_{0} {t} \, dt + 5\int\limits^{t}_{0}\, dt[/tex]

[tex]v(t) = t^{2}+5\cdot t + v(0)[/tex]

Where [tex]v(0)[/tex] is the initial velocity.

If [tex]v(0) = -5[/tex], the particular solution of the velocity function is:

[tex]v(t) = t^{2} + 5\cdot t -5, \forall t \geq 0[/tex]

Position

[tex]s(t) = \int\limits^{t}_{0} {v(t)} \, dt[/tex]

[tex]s(t) = \int\limits^{t}_{0} {(t^{2}+5\cdot t -5)} \, dt[/tex]

[tex]s(t) = \int\limits^{t}_0 {t^{2}} \, dt + 5\int\limits^{t}_0 {t} \, dt - 5\int\limits^{t}_0\, dt[/tex]

[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + s(0)[/tex]

Where [tex]s(0)[/tex] is the initial position.

If [tex]s(0) = 6[/tex], the particular solution of the position function is:

[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]

Answer:

Position of the particle is :

[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex]

Step-by-step explanation:

Given information:

The particle is moving with an acceleration that is function of:

[tex]a(t)=2t+5[/tex]

To find the expression for the position of the particle first integrate for the velocity expression:

AS:

[tex]V(t)=\int\limits^0_t {a(t)} \, dt\\v(t)= \int\limits^0_t {(2.t+5)} \, dt\\\\v(t)=t^2+5.t+v(0)\\[/tex]

Where, [tex]v(0)[/tex] is the initial velocity.

Noe, if we tale the [tex]v(0) =-5[/tex] ,

So, the velocity equation can be written as:

[tex]v(t)=t^2+5.t-5[/tex]

Now , For the position of the particle we need to integrate the velocity equation :

As,

Position:

[tex]S(t)=\int\limits^0_t {v(t)} \, dt \\S(t)=\int\limits^0_t {(t^2+5.t-5)} \, dt\\S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+s(0)[/tex]

Where, [tex]S(0)[/tex] is the initial position of the particle.

So, we put the value [tex]s(0)=6[/tex] and get the position of the particle.

Hence, Position of the particle is :

[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex].

For more information visit:

https://brainly.com/question/22008756?referrer=searchResults

Step-by-step explanation:

in the diagram what is the value of WRS

Answer:

C.  y = 1

Step-by-step explanation:

For two line to be parallel, they have to have the same slope.  The slope for the equation y = 4 is 0.  This cancels out answer choices A, B, and D.  

A and B have an undefined slope since they are vertical lines.

D has a slope of 4.

Also, the line has to go through the point (-3, 1).  Since the line has a slope of 0, the equation will include the y-value.  The y-value for this point is 1.  This gives you an answer of y = 1.

Answer:

y = 1

Step-by-step explanation:

Just took the practice test and got it right

Answer:

2/3

Step-by-step explanation:

The equation for direct variation is: y = kx, where k is a constant.

Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:

y = kx

6 = k * 72

k = 6/72 = 1/12

So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:

y = (1/12)x

y = (1/12) * 8 = 8/12 = 2/3

Thus, y = 2/3.

~ an aesthetics lover

Answer:

Step-by-step explanation: I hope i'm right

[tex]y \alpha x\\y=kx....(1)\\6=72k\\\frac{6}{72} =\frac{72k}{72} \\\\1/12 =k\\y = 1/12x=relationship-between;x-and;y\\x =8 , y =?\\y = \frac{8}{12} \\Cross-Multiply\\12y =8\\12y/12 = 8/12\\\\y = 2/3[/tex]

Answer:

3:1

Step-by-step explanation:

75%=[tex]\frac{75}{100}[/tex]=[tex]\frac{3}{4}[/tex]

25%=[tex]\frac{25}{100}[/tex]=[tex]\frac{1}{4}[/tex]

Answer:

work is shown and pictured

Answer:

x = 18; y = 35

Step-by-step explanation:

This gives us the equation:

1. x+y=53

2. 3x=y+19

3. 3x-y=19

Add the first and last line together: x+y+3x-y=53+19

Simplifies to: 4x=72

Divide by 4 to get: x = 18

Plug your numbers into the first equation to get 18+y=53; y = 35.

Answer:

The numbers are 18 and 35.

Step-by-step explanation:

The smaller number is x.

Let the other number by y.

Three times the smaller number is equal to 19 more than the larger number.

3x = y + 19

The larger number is

y = 3x - 19

the numbers add up to 53

x + y = 53

x + 3x - 19 = 53

4x = 72

x = 18

y = 3x - 19 = 3(18) - 19 = 54 - 19 = 35

The numbers are 18 and 35.

Answer:

2+(11+y)=(2+11)+y=11+(2+y)

Answer:

Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.

Step-by-step explanation:

E d g e n u i t y

Answer:

  c is either 25.4 or 1.1

Step-by-step explanation:

The Law of Sines is used to find sides and angles when you have a side and its opposite angle. Since the given angle is not opposite the longest given side, there are two possible solutions.

a) sin(B)/b = sin(A)/a

  sin(B) = (b/a)sin(A) = 14/13·sin(19°) ≈ 0.350612

  B = arcsin(0.350612)   or   180° -arcsin(0.350612)

  B = 20.525°   or   159.475°

Then angle C is ...

  C = 180° -A -B = 161° -B = 140.475°   or   1.525°

__

Side c can be found from ...

  c = sin(C)·a/sin(A)

For C = 140.475°, ...

  c = sin(140.475°)·39.9302 ≈ 25.4

For C = 1.525°, ...

  c = sin(1.525°)·39.9302 ≈ 1.1

The length of side c could be 25.4 or 1.1.

Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.

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

Hope this helps!

Brainliest would be great!

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

With all care,

07x12!

Answer:

Step-by-step explanation:

We are given the polynomial [tex]x^3+2^2-2x+3[/tex] and we are dividing by (x+3). So by performing one step of synthetic division we get

1 2 -2 3|-3

 -3 3 -3

1 -1 1   0

So the quotient in polynomial form is [tex]x^2-x+1[/tex]

Complete Question

In a small private​ school, 5 students are randomly selected from 13 available students. What is the probability that they are the five youngest​ students?

Answer:

The  probability is [tex]P(x) = 0.00078[/tex]

Step-by-step explanation:

From the question we are told that

    The number of student randomly selected is  r =  5

   The  number of available students is  n  =  13

Generally the number of ways that 5 students can be selected from 13 available students is mathematically represented as

      [tex]n(k)=\left n} \atop {}} \right.C_r = \frac{n ! }{(n-r ) ! r!}[/tex]

substituting values    

      [tex]\left n} \atop {}} \right.C_r = \frac{13 ! }{(13-5 ) ! 5!}[/tex]

    [tex]\left n} \atop {}} \right.C_r = \frac{13 * 12 * 11 * 10 * 9 *8! }{8 ! * 5 * 4 * 3 * 2 *1}[/tex]

     [tex]\left n} \atop {}} \right.C_r = 1287[/tex]

The  number of method by which  5 youngest  students are selected is n(x) =  1

   So  

          Then the probability of  selecting the five youngest students is mathematically represented as

        [tex]P(x) = \frac{n(x)}{n(k)}[/tex]

substituting values

        [tex]P(x) = \frac{1}{1287}[/tex]

        [tex]P(x) = 0.00078[/tex]

Answer:

D. 6

Step-by-step explanation:

here, as given set Q consists { 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36}

and set Z contains {3, 6, 9, 12, 15, 18, 21,24, 27, 30, 33, 36, .... }

so be comparing both, we can see that the numbers 6, 12, 18, 24, 30 and 36 is repeated.

Answer: The investment will be 6314 after 9 years.

Step-by-step explanation:

Formula to calculate the accumulated amount in t years:

[tex]A=P(1+r)^t[/tex], whereP= principal amount, r= rate of interest ( in decimal)

Given: P = $4,625

r= 3.52% = 0.0352

t= 9 years

Then, the accumulated amount after 9 years would be:

[tex]A=4625(1+0.0352)^9\\\\=4625(1.0352)^9\\\\=4625(1.36527)\approx6314[/tex]

Hence, the investment will be 6314 after 9 years.

Answer:

TRUE

Step-by-step explanation:

We are given 2 triangles, ∆ABC and ∆DEF.

For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.

From the information given, the following are the set of corresponding angles:

<B = <E = 31°

<B = <D = 90°

<C = <F = 59° [180 - (90+31)]

The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).

Answer:

The width of the model will be  2.5 inches

Step-by-step explanation:

The tower was scaled down by a factor to a smaller size in the model. We are to, first of all, determine this factor and then use it to scale down the width of the model.

Step One: Determine the scale factor from the tower height.

The scale factor is obtained from the formula:

Scale factor = model size / observed size

This will be

Height of model tower/ height of the real tower.

The height of the model tower is 5 inches which is the same as 0.416667 ft

Scale factor = 0.416667 ft/ 40ft = 0.0104

Step two:  Multiply the width of the real-life tower by the scale factor to get the model width.

Width of model =20ft X 0.0104 = 0.208ft

Step three:  Convert your answer back to inches.

We will now have to convert 0.208 ft back to inches by multiplying by 12

This will be 0.208 X 12 =2.5 inches.

The width of the model will be  2.5 inches

Answer:

-8=x

Step-by-step explanation:

6x-6=9x+18

-6-18=9x-6x

-24=3x

x=-8

hope i helped

brainliest pls

im trying to level up

Answer:

x=-8

Step-by-step explanation:

Answer:

this is all i got for the second question.

Step-by-step explanation:

That is, the average rate of change of from 3 to 0 is 1. That is, over the interval [0,3], for every 1 unit change in x, there is a 1 unit change in the value of the function. Here is a graph of the function, the two points used, and the line connecting those two points.

hope this kinda helps

-lvr

The correct answer is D. 23

Explanation:

Histograms similar to other graphs represent numerical information, usually by using bars, as well as ranges. For example, in the case presented the information presented belongs to the scores obtained in a test, which are shown using ranges. Moreover, it is possible to know the total of people that took the test by adding each of the frequencies, as the frequency in the y-axis shows the number of times the range repeated and it is expected each grade registered belongs to 1 person. This means the total of people is equal to 2 (score from 60-69) + 9 (score from 70-79) + 7 (score from 80-89) + 5 (score from 90-99) = 23 people.

Answer:

the answer is 23

Step-by-step explanation:

hopes this helps:)

Greetings from Brasil...

Here we have internal collateral angles. Its sum results in 180, so:

(6X + 8) + (4X + 2) = 180

6X + 4X + 8 + 2 = 180

10X + 10 = 180

10X = 180 - 10

10X = 170

X = 170/10

Answer:

[tex] 24x^3\sqrt{5x} - 4x^3\sqrt{10x} [/tex]

Step-by-step explanation:

The product [tex]2\sqrt{8x^3} (3\sqrt{10x^4} - x\sqrt{5x^2})[/tex] can be simplified as follows:

Step 1: Use the distributive property of multiplication

[tex]2\sqrt{8x^3}(3\sqrt{10x^4)} - 2\sqrt{8x^3}(x\sqrt{5x^2})[/tex]

[tex] 2*3\sqrt{8x^3*10x^4} - 2*x\sqrt{8x^3*5x^2} [/tex]

[tex] 6\sqrt{80x^7} - 2x\sqrt{40x^5} [/tex]

Step 2: simplify further

[tex] 6\sqrt{16*5*x^3*x^3*x} - 2x\sqrt{4*10*x^4*x} [/tex]

[tex] 6*4*x^3\sqrt{5*x} - 2x*2*x^2\sqrt{10*x} [/tex]

[tex] 24x^3\sqrt{5x} - 4x^3\sqrt{10x} [/tex]

Answer: i believe it’s 0.28, but tbh i’m on a unit test so i can’t see what’s wrong and what’s right. good luck!

Step-by-step explanation:

Answer:

c- 0.28

Step-by-step explanation: