Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.

  FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.

__

Problem 1

You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...

  log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months

  log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1

The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.

__

Problem 2

Again, solving for t, we get ...

  log(1 -Pr/(An))/(-n·log(1 +r/n)) = t

The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...

  log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years

Changing the withdrawal to $3000 per month makes the account last forever.  It earns $3150 in interest each month, so the account balance continues to increase.

The account will support withdrawals of $5000 per month for 18.5 years.

The account will support withdrawals of $3000 per month forever.

Answer:

ans is 0

Step-by-step explanation:

69 + 420 ÷ 0

489 ÷ 0

0

Answer:

Undefined

Step-by-step explanation:

When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.

You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.

There is an argument for infinity because for function  [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:

[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]

However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.

sego........ ... sego segó

Answer: M<1=135     M<2=45      M<3=135      M<4=45

Step-by-step explanation:

Answer:

its B homie

Step-by-step explanation:

U stuped

Answer:

B

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

The oederd data :

33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80

Stem Leaf

3 | 3

4 | 6 9

5 | 1 3 3 3 5 6

6 | 4 4 5 8

7 | 0 1 3 4 6 9

8 | 0

Key :

3 | 3 = 33

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

The ball reaches the maximum height after 1 seconds

Step-by-step explanation:

Given

[tex]y = -16t^2 + 32t + 4[/tex] --- the function missing from the question

Required

Time to reach maximum height

The time (t) to reach maximum height is calculated using:

[tex]t = -\frac{b}{2a}[/tex]

Where

[tex]y =at^2 + bx + c[/tex]

So, by comparison:

[tex]a = -16[/tex]

[tex]b = 32[/tex]

[tex]c = 4[/tex]

So, we have:

[tex]t = -\frac{b}{2a}[/tex]

[tex]t = -\frac{32}{2*-16}[/tex]

[tex]t = -\frac{32}{-32}[/tex]

[tex]t = \frac{32}{32}[/tex]

[tex]t = 1[/tex]

Answer:

x = -2

Step-by-step explanation:

Answer:

The unit rate of speed is 40 miles per hour.

Step-by-step explanation:

Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:

3 = 120

1 = X

(1 x 120) / 3 = X

120/3 = X

40 = X

Therefore, the unit rate of speed is 40 miles per hour.

216 in²

Step-by-step explanation:

The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.

Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.

= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)

= 45 + 90 + 81

= 216 in²

What is the approximate surface area of the figure?

A. 101.3 in²

B. 108 in²

C. 202.5 in²

D. 216 in²

Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.

[tex]\sf{S=Ph+2B}[/tex]

[tex]\sf{ \: \: \: \: =(27•5)+2(4.5)}[/tex]

[tex]\sf{ \: \: \: \: =135+81}[/tex]

[tex]\sf{ \: \: \: \: =\:}{\color{magenta}{216}}[/tex]

The surface area of the figure is 216 square inches. So, the correct option is D.

#Hope it helps!

(ノ^_^)ノ

Answer:

y = 23

x ≈ 13

Step-by-step explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13

Answer:

Step-by-step explanation:

hope this video link be helpfull to you

Answer:

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

Round this value however you need to.

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

Explanation:

We use the binomial distribution here. The formula for that is

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

where the n C k refers to the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

simply replace r with k.

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

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)

P(5) = 21*(0.6)^5*(0.4)^(2)

P(5) = 21*0.07776*0.16

P(5) = 0.2612736

This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.

There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.

9514 1404 393

Answer:

  20°, 120°, 40°

Step-by-step explanation:

Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...

  s + (100+s) +(2s) = 180

  4s = 80 . . . . . . . . . . subtract 100

  s = 20 . . . the smallest angle

  100+s = 120 . . . the largest angle

  2s = 40 . . . the third angle

The angle measures are 20°, 120°, and 40°.  

Answer:

second 1

Step-by-step explanation:

i literally just had that question

Answer:

THERE IS A LOT OF PEOPLE

Answer:  it is c which is the function was stretched by all the factor of 2

hope this help

Option C.88ft².

Answer:

Solution given:

side 1=19ft

side 2=25ft

height=4ft

now

area =½height (side 1+side 2)

=½*4*(19+25)=88ft²

Answer:

The area of trapezoid is 88 ft ² .

Step-by-step explanation:

The, area of trapezoid is given by

= 1 / 2 ( Base ¹ + Base ² ) × Height

Where,

Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.

1 / 2 ( Base ¹ + Base ² ) × Height

Where, given that

Substitute the values

Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft

add the both parallel sides of trapezoid

Area = 1 / 2 × 44 ft × 4 ft

multiply the values , we get

Area = 176 ft ²/ 2

Divide and we get

Area of trapezoid = 88 ft ²

Therefore, the area of trapezoid is 88 ft ².

Answer:

Ok I might misunderstand this but this is what I got ( in order )

Answer:

AB = 5√55

Step-by-step explanation:

Part 1 = AD = 25

Hypotenuse = AC = 55

Leg 1 = AB = x

To find AB, apply the leg rule which is:

Hypotenuse/leg 1 = leg 1/part 1

Plug in the values

55/x = x/25

Cross multiply

x*x = 55*25

x² = 1,375

x = √1,375

x = 5√55

AB = 5√55

27 exponent x/3 = 1/81

we can say exponent as power also

(27 power x) × (3 power -1) = 81 power -1

(3 power 3x) × ( 3 power -1) = 3 power -4

IN MULTIPLICATION WHEN BASES ARE SAME THEN POWERS ARE ADDED

3 power 3x + (-1) = 3 power -4

IN AN EQUATION WHEN BASES ARE EQUAL POWERS ALSO EQUAL

3x +(-1) = -4

3x - 1 = -4

3x = -4 + 1

3x = -3

x = -3/3

x = -1

Answer:

x = -1

Step-by-step explanation:

27 exponent x =  [tex]27^x[/tex]

Divided by 3 =   [tex]\frac{27^x}{3}[/tex]

Is equal to : [tex]\frac{1}{81}[/tex]

Therefore,

         [tex]\frac{27^x}{3} = \frac{1}{81}[/tex]

Cross multiplying :

       [tex]27^x \times 81 = 1 \times 3[/tex]

       [tex]27^x = \frac{3}{81}[/tex]

       [tex]27^x = \frac{1}{27}[/tex]

       [tex]27^x = 27^{-1}[/tex]

         [tex]x = -1[/tex]                     [tex][a^x = a^y => x = y][/tex]