Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In your final answer, include all of your calculations.

Answer:

cylinder

Step-by-step explanation:

A mascara tube is a cylinder

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]

[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]

Answer: Is (B) 23,377

Step-by-step explanation:

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?

a.

$23,706

b.

$23,377

c.

$52,069

d.

$58,944

Please select the best answer from the choices provided

A

( B )

C

D

Answer:

The surface area of the square pyramid is 280 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

[tex]A=2bs+b^2[/tex]

From the figure, it is clear that

substituting the values in the formula

[tex]A=2bs+b^2[/tex]

[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]

   [tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]

   [tex]=280[/tex]

Therefore, the surface area of the square pyramid is 280 units².

The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The graph is given below.

The ratio will remain constant. Then we have

y/10 = 4/8

    y = 5

Then the length of PQ will be

PQ = 4 + 10

PQ = 14

Then the length of RS will be

RS = 5 + 8

RS = 13

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

[tex]\large \boxed{ \ \sf \dfrac{13}{36} \ }[/tex]

[tex]\rightarrow \sf 10 \dfrac{1}{9} - 9\dfrac{3}{4}[/tex]

[Convert to improper Fractions]

[tex]\rightarrow \sf \dfrac{91}{9} - \dfrac{39}{4}[/tex]

[Make the denominator same]

[tex]\rightarrow \sf \dfrac{4(91)}{36} - \dfrac{9(39)}{36}[/tex]

[Multiply Integers]

[tex]\rightarrow \sf \dfrac{364}{36} - \dfrac{351}{36}[/tex]

[Join both fractions]

[tex]\rightarrow \sf \dfrac{364-351}{36}[/tex]

[Subtract Integers]

[tex]\rightarrow \sf \dfrac{13}{36}[/tex]

Answer:

13/36.

Step-by-step explanation:

First convert to improper fractions:

10 1/9 = (10*9 + 1)/9 = 91/9.

9 3/4 = (9*4 + 3)/4 = 39/4.

Next find the Lowest Common Denominator of 9 and 4.

This is 9*4 = 36.

Now convert both fractions to 36th:

For 91/9 we multiply by 4/4 and for 39/9 we multiply by 9/9

91*4 / 9*4 =  364/36 and 39*9 / 9*4 =  351/36, so we have:

364/36 - 351/36

=  13/36

Answer:

B.) 27.5²

Explanation:

This should be the triangle per say:

The Area of a Triangle can be found by using the formula- 1/2 x base x height.

In this case: 1/2 x 11 x 5

This equals 27.5².

Hopefully this may help.

The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

The given parameters are:

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
[tex]C = 2 \pi r[/tex]

We can get the radius from rearranging the equation.

[tex]r = \frac{C}{2 \pi}[/tex]

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the polyhedrons can be written as,

I Polyhedron

SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²

II Polyhedron

SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²

III Polyhedron

SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²

Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.

Learn more about Area:

https://brainly.com/question/1631786

#SPJ1

The total number of workers that earn $75 per day is 48

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

[tex]\frac{75x + 100(60-x)}{60} =80[/tex]

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

       x= 48

So, the total number of workers earn $75 per day is 48.

Learn more about the concept here:

brainly.com/question/21835898

#SPJ1

For closet

It's a rectangle

Volume

For rolls:-

Cylindrical body

Volume:-

Total rolls:-

Answer:

1372

Step-by-step explanation:

Rectangular closet dimensions:

Modelling the roll of toilet paper as a cylinder with dimensions:

If we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.

⇒ 36 in ÷ 5 in = 7.2 in

Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.

Now calculate how many toilet rolls we can stack on top of each other.

To do this, divide the height of the closet by the height of the toilet roll:

⇒ 108 in ÷ 3.75 in = 28.8

Therefore, we can stack 28 layers of 49 toilet rolls in the closet.

So the total number of toilet rolls = 28 × 49 = 1372

There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.

Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.

Answer:

2x - 11, 2x + 11

Step-by-step explanation:

The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.

Answer:

-24

Step-by-step explanation:

The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.

and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.

that is ~

[tex]\qquad \sf  \dashrightarrow \: x + y = 3[/tex]

put y = - 2,we will get :

[tex]\qquad \sf  \dashrightarrow \: x - 2 = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

so, 1st equation satifys the condition. let's check out 2nd one.

[tex]\qquad \sf  \dashrightarrow \: x + 2y = 1[/tex]

put y = -2

[tex]\qquad \sf  \dashrightarrow \: x + (2 \times - 2) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4 = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Hence, we can conclude that the Correct choice is D

Using an arithmetic sequence, it is found that the 35th value of the sequence is given by: [tex]a_{35} = 1[/tex].

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Considering that we have the mth term as reference, the nth term is also given as follows:

[tex]a_n = a_m + (n - m)d[/tex]

In this problem, we have that:

[tex]a_{23} = \frac{2}{3}, a_{53} = \frac{3}{2}[/tex].

Hence:

[tex]a_n = a_m + (n - m)d[/tex]

[tex]a_{53} = a_{23} + (53 - 23)d[/tex]

[tex]30d = \frac{3}{2} - \frac{2}{3}[/tex]

[tex]30d = \frac{9 - 4}{6}[/tex]

[tex]30d = \frac{5}{6}[/tex]

[tex]d = \frac{1}{36}[/tex]

Then the 35th term is:

[tex]a_{35} = a_{23} + 12d = \frac{2}{3} + 12\frac{1}{36} = \frac{2}{3} + \frac{1}{3} = 1[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

#SPJ1

Answer:

Step-by-this may be done by rearranging the equation. First, we start with the given equation:

0.05*10 = 0.5

In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:

0.05 * 10 / 10 = 0.5/10

0.05  = 0.5/10ep

explanation:

Regrouping terms in the sum as

x + (-5x + 5x) + (-9x + 9x) + … + (-21x + 21x) - 25x

you can see that all the middle terms cancel and you're left with

x - 25x = -24x

Answer:

B

Step-by-step explanation:

You would use the formula Length×Width×Height

In this question the length would be 67 in

The height would be 9 in

And the width would be 50 in

The unit of measure is inches

Cubed because this is a 3-dimesional shape

So the answer would be (50×67×9) in³

Answer:

Step-by-step explanation:

We find a like term and that is 33 so we mutiply 2/3 by 11 and we get 8 22/33 and do the same to 1 10/11 and we get 1 30/33

8 22/33- 1 30/33 since we can do that we give 22 an extra 33

so 7 55/33 - 1 30/33 (just like subtracting we borrow.)

=6 25/33

Basically i converted 1 of the 8 into a fraction which was 33 and added it to 22 which got me 55 from their it was just a basic subtraction problem. think of what i did like this 43-

                                   34

that wont work so you borrow a 1

Answer:

$ 30, 021.39

Step-by-step explanation:

3759( 1 + .11875/12 )^(211)  = 30, 021.39

Answer:

See below ~

Step-by-step explanation:

1. The average grade of Brenda :

2. During the second quarter, Brenda scored her lowest grade, which was an 82.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

We have to find the probability of not getting odd, whole rolling a 6 sided die ~

Actually dices have 3 odd numbers (1 , 3 , 5) and 3 non - odd numbers (2 , 4 ,6)

When we roll a dice, we may get any of the six numbers, so total possible outcomes are 6

and, The number of Favorable outcomes is 3, i.e non - odd numbers.

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{favourable \: outcomes}{total \: \: outcomes} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{3}{6} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{1}{2} \: \: \: or \: \: \: 0.5[/tex]

Answer:

½

Step-by-step explanation:

Not odd (even) numbers from 1 - 6 = 2, 4, 6

Any of these 3 numbers can come when rolling a cubical 6 - sided dice.

Then,

P (not odd)

= Favourable outcomes / total number of outcomes

= 3/6

= ½

_____

Hope it helps ⚜

Answer:

1/6

Step-by-step explanation:

On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.

Answer:

3/36 (8.333%)

Step-by-step explanation:

On a two (6 sided) dice roll probability table is

3. 3/36 (8.333%)

4 6/36 (16.667%)

5 10/36 (27.778%)

6 15/36 (41.667%)

Answer:

  (6x² +4x -20)/(x² +x -3) cm

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of its length and width. Here, length and width are rational functions. The same relation to perimeter applies.

__

  [tex]P = 2(L+W)\\\\P=2\left(\dfrac{2x^2 +3x-5}{x^2+x-3}+\dfrac{x^2-x-5}{x^2+x-3}\right)\qquad\text{use given values for $L$ and $W$}\\\\P=2\left(\dfrac{2x^2+3x-5+x^2-x-5}{x^2+x-3}\right)=\dfrac{2(3x^2 +2x-10)}{x^2+x-3}\\\\P=\dfrac{6x^2+4x-20}{x^2+x-3}\\\\\underline{\ \qquad}\\\\\textsf{It would take $\dfrac{6x^2+4x-20}{x^2+x-3}$ cm of ribbon to go around the package.}[/tex]

Answer:

i believe its the second

Step-by-step explanation:

so sorry if im wrong