What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?

Answer:

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

Step-by-step explanation:

Given

To determine

Principle P = ?

Using the formula

P = A / (1 + rt)

substituting A = 400.00, t = 9 and r = 0.08 in the formula

P = 400 / ( 1 + (0.08 × 9))

P = $232.56

Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

Answer:

the height is 15

Step-by-step explanation:

Divide the area of the base and volume to get the height

Answer:

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

Step-by-step explanation:

Given

[tex]f(x) = 8 - x^2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x) = 8 - x^2[/tex]

[tex]f(x+h) = 8 - (x+h)^2[/tex]

[tex]f(x+h) =8- x^2-2xh-h^2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]

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

Answer:

13

Step-by-step explanation:

Answer:

b=0

Step-by-step explanation:

A=bh

11=b11

11-11=b-11

0=b

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

Answer:

square root of

If the y-coordinate of P is −3/5, and P  is in quadrant IV, then x = 4/5

In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.

Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.

We're also given a y-coordinate as, y = -3/5.

The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.

If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:

x² + y² = h²

Making x the subject gives;

x = √(h² – y²)

Plug in the relevant values h = 1 and y = -3/5 to get;

x = √(1)² – (-3/5)²

x = √1 – 9/25

x = √16/25

x = 4/5

We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such  x is positive.

Thus, x = 4/5

Read more about Unit Circle Coordinate at; https://brainly.com/question/26284611

#SPJ1

Answer:

1 1/2 cups

Step-by-step explanation:

Answer:

6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

Answer:

50 - (50 * 0.20) = x

Step-by-step explanation:

Student in art class = 20% or 20/100 or 0.2

Student NOT in art class = 80% or 80/100 or 0.8

Total number of students = 100% or 100/100 or 1, which equivalent to 50 students

x = total number of students - 20%

= 50 - ( 50 x 0.2 )

= 50 - 10

= 40 students

Answer:

Min = 11

Q1 = 13

Median = 15

Q3 = 17

Max = 22

Step-by-step explanation:

The five-number summary that is displayed by the box plot above are:

The minimum value: the data value at the start of the whisker to your left = 11

The Q1 value: the data value at the beginning of the edge of the rectangular box = 13

The Median value: the data value at the vertical line that divides the rectangular box into two = 15

Q3 value: the data value at the end of the rectangular box = 17

Max: 22

Answer:

10 x 14 x 4 = 560

Step-by-step explanation:

You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements

Hope this helps

Answer: y= -4x/3 - 4/3

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=3x4−32.

The slope of the perpendicular line is negative inverse: m=−43.

So, the equation of the perpendicular line is y=−4x3+a.

To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.

Thus, a=−43.

Therefore, the equation of the line is y=−4x3−43.

Answer:

Step-by-step explanation:

y=mx+b

3x-4y=6

4y=3x-6

y=(3x-6)/4

So the slope, m, is 3/4

For lines to be perpendicular m1(m2)=-1, in this case

3m/4=-1

m=-4/3 so our line so far is

y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b

-4=-4(2)/3+b

b=-4/3 so

y=(-4x-4)/3

Answer:

12

Step-by-step explanation:

i think this because 7 + 5 = 12 but i'm not quite sure if this is right to be honest I haven't masterd this question before.

Answer:

300 packages

Step-by-step explanation:

Answer:

First doing it by mental math.

a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.

b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.

c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.

Now let us solve it on paper. I have attached a picture of it.

Answer:

scalene triangle

Answer:

Acute scalene triangle

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

Answer:

y = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

4y + 4 = 2y - 10

Step 2: Solve for y

Answer:

[tex]y = - 7[/tex]

Step-by-step explanation:

1. Subtract 2y from both sides.

[tex]4y + 4 - 2y = - 10[/tex]

2. Simplify 4y + 4 - 2y to 2y + 4.

[tex]2y + 4 = - 10[/tex]

3. Subtract 4 from both sides.

[tex]2y = - 10 - 4[/tex]

4. Simplify -10 - 4 to -14.

[tex]2y = - 14[/tex]

5. Divide both sides by 2.

[tex]y = - \frac{14}{2} [/tex]

6. Simplify 14/2 to to 7.

[tex]y = - 7[/tex]

Therefor, the answer is, Y = -7

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

180-124=56°

180-56-2x-(180-6x)=0

180-56-2x-180+6x=0

-56+4x=0

4x=56

x=14°

........

2x=28

6x=84

Answer:

I chose 7 as the base and 2 as the Exponent

Step-by-step explanation:

7^2 . 7 is the base and 2 is the Exponent.

Standard Form: 7^2

Expanded Form : 7 • 7 = 49

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

Answer:

Thousands place

Step-by-step explanation:

47,298 is written below. The place value is written next to it:

4 - ten thousands place

7 - thousands place

2 - hundreds place

9 - tens place

8 - ones place

I hope this helps!

Answer: 343 ft^3

Step-by-step explanation:

To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3