Find the sum of the first 40 terms of a geometric sequence where the first term is 16 and the common ratio is 1.1. 704 7,081.48089 7,805.62898 6,423.16445

Answers

Answer 1

Step-by-step explanation:

The nth term of a geometric progression can be determined by using the formula:

Tn=arn−1

where: a = first term and r = common ratio

Substitute the given values of first term and common ratio into the formula:

Tn=arn−1

T5=(40)(0.5)5−1

T5=(40)(0.5)4

T5=(40)(0.0625)

T5=2.5


Related Questions

Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?

Answers

Answer:

Buddie

Buddie should enter on line 6 of the income section:

capital gains or losses that he incurred for the past year.

Step-by-step explanation:

Line 6 asks about the capital gains or losses from the past year so that the AGI total could be obtained before deductions are made.  Where Line 6 is filled, there are some other forms that will accompany it, like Schedule D and 1099-B or 1099-S forms, which record the capital gains or losses.  All capital gains that are not excludable must be stated for income tax purpose.

Answer:

$43,980

Step-by-step explanation:

In some languages, every consonant must be followed by a vowel. How many seven-letter ‟words” can be made from the Hawaiian word MAKAALA if each consonant must be followed by a vowel?

Answers

Answer:

One. Kamala.

Step-by-step explanation:

please help will give brainliest ​

Answers

Answer:

a² = 144

b² = 25

c² = 169

c = 13

Step-by-step explanation:

• a² = 12×12

= 144

• b² = 5×5

= 25

• a² + b² = c²

= 144 + 25 = 169

• c = _/169

= 13

A school lunch contains 12 cheese sticks. Seventy-five students buy the lunch. What is the total number of cheese sticks served?

Answers

Answer:

900 cheese sticks served (thats a lot of cheese)

Step-by-step explanation:

You can multiply to find how much in total

12*75

you’d get 900

Total number of cheese sticks served in 75 school lunches is 900.

Given that a school lunch contains 12 cheese sticks and 75 students buy the lunch,

we have to find the total number of cheese sticks served.

To find the solution,

We can use a simple multiplication formula that says,

The total number of cheese sticks served equals the number of cheese sticks in one lunch multiplied by the number of lunches served.

Therefore,

we can write,

⇒Total number of cheese sticks served = Number of cheese sticks in one lunch x Number of lunches served

As there are 75 students who buy the lunch,

We can find the number of lunches served by dividing the total number of students by the number of students in one lunch.

Since one lunch contains 12 cheese sticks, we can write,

⇒ Number of lunches served = Total number of students / Number of students in one lunch

⇒ Number of lunches served = 75 / 1

⇒ Number of lunches served = 75

Now that we know the number of lunches served,

we can use the multiplication formula to find the total number of cheese sticks served,

Total number of cheese sticks served = Number of cheese sticks in one lunch x Number of lunches served

⇒ Total number of cheese sticks served = 12 x 75

⇒ Total number of cheese sticks served = 900

Therefore,

The total number of cheese sticks served in 75 school lunches is 900.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

The sum of three consecutive numbers is 72 what is the smallest of the numbers

Answers

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

Which statement describes the graph of function g?

f(x) = 2x
g(x) = 2x + 3

The graph of g is 3 units to the left of the graph of f.

The graph of g is 3 units below the graph of f.

The graph of g is 3 units above the graph of f.

The graph of g is 3 units to the right of the graph of f.

Answers

9514 1404 393

Answer:

  The graph of g is 3 units above the graph of f.

Step-by-step explanation:

Adding 3 to each y-value shifts the graph up 3 units.

__

In the case of the straight line given here, it also has the appearance of shifting the graph left. The left-shift, however, is not 3 units. The amount of apparent horizontal shift will depend on the slope of the original line.

Answer:

The answer is above

Step-by-step explanation:

its above because the sign is positive

4
5 6 7 8 9 10
11
12 13
The sum of three numbers is 56. If the second number is equal to the first diminished by 4, and the third number is 3
times the first. What are the numbers?
If x represents the first number, then which of the following equations could be used to solve the problem?
x = 3x-4
56=4x4
56=3x-4
56-5x4
a
OX
e here to search

Answers

Answer:

56-5x4

Step-by-step explanation:

The reason you want to do it that way is because they will cansle eatch other out

The table shows the number of gallons of water, 9.
that a water pump transfers in s seconds. How many
gallons of water are pumped per second? What is an
equation for the gallons of water, g, that the station
can pump in s seconds?

Answers

Answer:

G = 0.75s

Step-by-step explanation:

First find the unit rate: How many gallons of water can be pumped in 1 second. This means you just have to divide by however many seconds it is being pumped. I'm using 12 and 9. 9/12 = 0.75. This means that in 1 second 0.75 or 3/4 of a gallon will be pumped. Therefore:

G = 0.75s

Please help me with this :)

Answers

Answer: its  A ........................22 +/- (3(4)/sqrt 144) = 22 +/- 1 = 21 - 23

Step-by-step explanation:

Answer:

i wanna say A srry if im wrong tho im never right

Step-by-step explanation:

ye

Answer question in the picture for brainliest and 10 points.

Answers

Answer:

D

Step-by-step explanation:

I know because I am smart. Trust me, it is D.

Its D

Step-by-step explanation:

pwease ik

What is the value of b? 10 ( 1 + 3b ) = -20

Answers

Answer:

b=-1

Step-by-step explanation:

10(1+3b)=-20

1+3b=-2

3b=-3

b=-1

A month ago, the ratio of nurses to doctors on a hospital staff was 3:5. Since that time, two additional nurses joined the staff, no
nurses left and the number of doctors remained the same. The ratio of nurses to doctors on the hospital staff is now 4:5. How
many nurses are now on the staff?

Plz answer, I’ll givebrainliest

Answers

Answer:

8

Step-by-step explanation:

The ratio of nurses to docters a month ago was 3:5. Now, it's 4:5. You can tell that there aren't 4 nurses because 3 => 4 is only one nurse. If you duplicate both ratios (multiply both sides by 2), you get 6:10 (for a month ago) and 8:10 (now). This is correct because 6+2=8. Hope it helps!

________ Is the largest industry In the world.
O Technology
O Travel and tourism
O Manufacturing
O Education

Answers

I believe it’s travel and tourism. Hope this helps!

Answer:

Manufacturing is the largest industry In the world.

I
4)
73,693 I’m lookin to round the number

Answers

Answer:

Which place are you rounding with?

If your rounding with ones then the answer will be 73,690

If your rounding with tens then the answer will be 73,700

If your rounding with hundreds then the answer will be 73,600

If your rounding with thousands then the answer will be 74,000

There you go and your welcome!

Which linear inequality is represented by the graph?
A) y>2/3x-2
B) y<2/3x+2
C) y>2/3x+1
D) y<2/3x-1

The answer is C

Answers

Answer:

hey you guys

Step-by-step explanation:

the mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f​

Answers

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

Suppose that a new employee starts working at $7.72 per hour and receives a 4% raise each year. After time t, in years, his hourly wage is given by the equation y=$7.72(1.04)t. Find the amount of time after which he will be earning $10.00 per hour.

Answers

Answer:

6.5978 years

Step-by-step explanation:

y=7.72(1.04)^t

10=7.72(1.04)^t

1.04^t=1.2953367875647668

log 1.04^t=log 1.2953367875647668

t log 1.04=log 1.2953367875647668

t=6.5978 years .............

(04.05)Marcus painted one-third of his bedroom in fourth-fifths of an hour. At this rate, how long would it take him to paint the entire room?

five-twelfths of an hour
twelve-fifths of an hour
fifteen-fourths of an hour
four-fifteenths of an hour

Answers

So it took him 4/5 of an hour to paint 1/3
that means there is still 2/3 to go
so that means that he will have two times that time to paint the rest of the room
4/5 = ?
1/3 2/3
using cross multiplication
(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest

= 12/5 total to do entire room

Answer:

12/5

Step-by-step explanation:

1/3 = 4/5

2/3= 8/5

3/3= 12/5

A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?

x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept

Answers

Answer:

The correct option is;

It has the same slope and a different y-intercept

Step-by-step explanation:

The data on the table can be presented as follows;

x      [tex]{}[/tex]       y

-2/3     [tex]{}[/tex]   -3/4

-1/6     [tex]{}[/tex]    -9/16

1/3    [tex]{}[/tex]     -3/8

5/6    [tex]{}[/tex]   -3/16

The rate of change of the function, m = (-3/16 - (-3/4))/(5/6 - (-2/3)) = 3/8

The equation of the line given by the data points in point and slope form is given as follows;

y - (-3/16) = 3/8×(x - 5/6)

y = 3·x/8 - 5/16 - 3/16 = 3·x/8 - 1/2

y = 3·x/8 - 1/2

The y intercept is given at when x = 0, therefore, at the y-intercept, y = 3 × 0/8 - 1/2 = -1/2

The y-intercept is (0, -1/2)

The x-intercept occurs at y = 0, therefore, at the x-intercept, we have;

0 = 3·x/8 - 1/2

∴ 3·x/8 = 1/2

x = 4/3

Therefore, the x-intercept is 4/3 and the coordinates of the x-intercept is (4/3, 0)

Given that the x-intercept is different, the y-intercept of the two lines with the same slope are also different

The correct option is therefore that it has the same slope and a different y-intercept;

Answer:

the answer is B

Step-by-step explanation:


Number 2 answer please

Answers

Answer:

that's the answer in pic

Answer quick! Will give brainliest

Answers

Answer:

Blank #1 : 2S + 4B ≥ 36

Blank #2: 1

Step-by-step explanation:

Blank#1: that is the equation

Blank#2: 8 x 4 =32 one bracelet is 4 32 + 4 =36, the amount needed

What is the rise over the run (slope) in this graph? Please write in simplest form.​

Answers

Answer:

6

Step-by-step explanation: count the numbers from 26 to 32 from 32 to 38 from 38 to 44

Answer:

it would be at 5 i'm pretty sure

2(x+1)=10 Does anyone know what the value of x =

Answers

Answer:

2x+2=10 -2

2x=8 ÷2

x=4

Step-by-step explanation:

prove me wrong

Answer:

4

Step-by-step explanation:

2x + 2 =10

2x = 10 -2

2x =8

x = 4

find the amount on #45,000 in 3 years at 10% per annum and also find the compound interest​

Answers

Answer:

Amt. = 45000 ( 1+ 10/100 ) ^3

Interest = 45000 - Amt.

Step-by-step explanation:

Hope this helped have an amazing day!

what is the area of a shaded region in the quarter circle
radius 12​

Answers

Answer:

I guess that the shaded area is a quarter of a circle of radius 12 units.

Is easy to know that the area, will be equal to the quotient between the area of a circle of radius 12, and 4

We know that the area of a circle of radius R is:

A = pi*R^2

in this case, R = 12

pi = 3.14

Then:

A = 3.14*12^2 = 452.16

And a fourth of that is:

A/4 = (452.16)/4 = 113.04

The area of the shaded region is 113.04 square units

in order to receive a b on an essay, the grade must be no lower then 82% and no higher than an 89%.write a compound inequality to represent the range of scores to earn a B on the essay

Answers

Answer:

0.82 ≤ x ≤ 0.89

Step-by-step explanation:

hope this helps, pls mark brainliest :D

The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.

Answers

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358

I WILL GIVE BRAINLIEST. HURRY PLEASE

Answers

Answer:

Concept: Linear Algebra

Let us pick -5 and -4 which are one unit apart.We will find the difference by finding the slope: -3-(-11)/-4-(-5)= 8 Next for 2 units apart we will choose 1 and 3We do the same thing: 53-37/3-1= 16/2=8 Next we will pick something 2 units apart. Let's pick 0 and 3 Hence we will do the same: 53-29/3-0= 24/3=8No matter what difference we pick, whether that be one, two or three units, the difference is the same and consistent.Rate brainlist and drop a follow

The distance AB rounded to the nearest = [ ? ]


You’ll be marked as brainlest !! Help !!

Answers

The points shown on the graph are (-1,2) and (1,-2).

d = sqrt{-2-2)^2 + (1-(-1))^2}

d = sqrt{(-4)^2 + (1+1)^2}

d = sqrt{16 + 4}

d = sqrt{20}

d = 4•sqrt{5}

d is about 8.94427191.

Rounded to the nearest tenth, we get d = 8.9.

Answer:

4.5

Step-by-step explanation:

PLssssss HELPPPPPPP will GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!


Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds

of sand around his flower bed. How much sand did he have left in the

bucket?

Answers

Answer:

For addition 7 1/4. For subtraction 1 3/4. For multiplication 12 2/8. For division 1 7/11.  

Step-by-step explanation:

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