Write an
explicit formula for
an,
then
th
term of the sequence 100, 20, 4, ....

Answers

Answer 1

Answer:

Step-by-step explanation:

a1 = 100

r = 1/5

an = 100 (1/5)^(n - 1)

Try it. We have the answer for a_3

a_3 = 100 * (1/5)^(3 - 1)

a_3 = 100 * (1/5)^2

a_3 = 100 * 1/25

a_3 = 4  which is just what the series says should be the answer.


Related Questions

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?

Answers

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]

Plug t = 12 in the above function.

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

I NEED HELP PLEASEE ASAP

Answers

Answer:

7. open & shade right

4.  ∞>x>=11

5. 10.5<x<∞

9. closed & shade right

Step-by-step explanation:

Answer:

Step-by-step explanation:

K < 8= open circle on 8 shade left

d < 4 = open circle on 4 going to the left

9. closed circle on 13.5 going  to the right

Im not sure about the others but h oped this helped!

9x + 3y = -15
-18x - 6y = 30
X = ?
Y = ?

Answers

Answer:

I dont know why the answers are the same thats how i got the answer solving them

Step-by-step explanation:

answer for 9x+3y=-15  

is

x=-5/3 -y/3

y= -5 - 3x

answer for -18x-6y=30

is

x=-5/3 - y/3

y= -5-3x

i have no question .

Answers

Answer:

I have no answers.

Step-by-step explanation:

mr rolando sold the house and that at 10, 500,000.00 if he will receive 4% commansion, how much his commansion? ​

Answers

Given:

Mr. Rolando sold the house and that at 10,500,000.00.

Commission percent = 4%

To find:

The amount of commission.

Solution:

We have,

Commission percent = 4%

Commission = 4% of selling price of the house.

                     = [tex]\dfrac{4}{100}\times 10,500,000[/tex]

                     = [tex]4\times 105,000[/tex]

                     = [tex]420,000[/tex]

Therefore, the amount of commission is 420,000.

What kind of sequence is this? 52, 39, 26, 13, ...

Answers

It’s an arithmetic sequence. They subtract 13 each time

Check you
What is th
y = 3x + 7
5x - 2y=-10

Please answer

Answers

Answer:

x=-4; y=-5

Step-by-step explanation:

5x-2(3x+7)=-10

5x-6x-14=-10

-x=4

x=-4

y=3(-4)+7

y=-5

x = -4 and y = -5
hope this helps!!!

Need help please!!!!!!

Answers

Answer:

x = 13.75

Step-by-step explanation:

(4x + 5) - 10 = 50

4x + 5 - 10 = 50

4x - 5 = 50

4x = 50 + 5

4x = 55

x = 55/4

x = 13.75

write the slope intercept from of the equation of the line​

Answers

Answer:

y= x + 2

Hope this helps


How do you write 25/50
as a percentage?

Answers

Answer:

50%

Step-by-step explanation:

Converting a fraction such as 25/50 into a percent is pretty easy.

All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:

(Numerator/Denominator)*100

Then you enter 25/50 into the above formula, you get (25/50)*100 which calculates to:

50%

:)

Hope this helps!

Help please will give brainliest

Answers

Answer:

the first one

Step-by-step explanation:

have a great day

3.
We have $10,000 to invest for 45 months. How much money will we have if we put
the money into an account that has an annual interest rate of 5.5% and interest is
compounded...
a. monthly
b. quarterly
c.continuously
(find all)

Answers

The answer is a I think that is correct

Apply the distributive property to create an equivalent expression.
( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5

Answers

Given:

The expression is

[tex](1-2g+4h)\cdot 5[/tex]

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

[tex]a(b+c)=ab+ac[/tex]

Where, a, b and c are real numbers.

We have,

[tex](1-2g+4h)\cdot 5[/tex]

Using distributive property, we get

[tex]=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5[/tex]

[tex]=5-10g+20h[/tex]

Therefore, the expression [tex]5-10g+20h[/tex] is equivalent to the given expression.

Answer:

5-10g+20h

Step-by-step

Please give Brainliest :)

Noah is buying a pair of jeans and using a coupon for 10% off. The total price is $56.70, which includes $2.70 in sales tax. Noah's purchase can be modeled by the equation:
x - 0.1x + 2.70 = $56.70

Answers

$56.70 take away the tax first which brings you to $54 then 54x.10% is 5.40 so take 5.40 away from $54 you then have $48.60 then you can add the tax back in +2.70 = $51.30

Which of the following points could be tied to the coordinate graphiasathind point to
create an isoscelestrande Choose all that apply
5
-5
(2 points)
(1,3)
(-2,5
0 (4,-2)

Answers

(-2,5 that is the right answer

HELP! I need to divide 31.35 / m squared.

Answers

Answer:

it doesn't change

Step-by-step explanation:

What is the value of 6x90.6

Answers

Answer:

543.6

Step-by-step explanation:

answer is 543.6 :)

Factor the following expression.
12 vx?y9 + 18V3x6

Answers

Answer:

the anwser is 6(2vw?y+3V^3x^6)

Step-by-step explanation:

-2(n-12)+1=-2n+25

help

Answers

Answer:

infinite solutions

Step-by-step explanation:

use the distributive property

-2n + 24 + 1 = -2n + 25

-2n + 25 = -2n + 25

+2n            +2n      

25 = 25

infinite solutions

Answer:

infinitely many solutions

Step-by-step explanation:

-2(n-12)+1=-2n+25 Distribute.

-2n+24+1=-2n+25  Combine like terms on each side of the equation.

-2n+25=-2n+25      Add 2n on both sides of the equation.

+2n       +2n

25=25

This statement is true, so there are infinitely many solutions.

I hope this helps...have an awesome day (~*▽*)~

Factorise fully 6ac + 10ac​

Answers

Step-by-step explanation:

6ac+10ac

2ac(6ac+10ac)

2ac(3+5)

Convert 4 miles into yards there are 3,520 yards in 2 miles

Answers

Answer:

7,040

Step-by-step explanation:

2 miles is half of 4 miles so you would multiply 3,520 yards by 2.

what is 14/20 as a percentage ?

Answers

Answer:

The answer is 70%           HOPED THIS HELPED !!

Step-by-step explanation:

You turn 14/20 to a decimal which is 0.7 then multiply 0.7 by 100 which equals  70%.

Did I get this correct? If not please help me!!!

Answers

Answer:

I thinck u did get it write ....

Step-by-step explanation:

Find the shaded area. 12 cm 18 cm 8cm 8cm

Answers

You start with finding area of both then subtracting area of white box.
12x18=216
8x8=64
216 - 64 = 152
So the area of the shaded area = 152 cm^2

Step-by-step explanation:

152 cm square is ur answer

-3x-y=9
y=-3x+9
(select the correct answer for the solution to the following system of equations)
A: (1,6)
B: (0,-9)
C: infinite solutions
D: no solution

Answers

Answer:

D: no solution

...because none of the answers work for both of the equations when you plug in the x and y values

how to do two digits multiplication

Answers

Search it up! There are lots of helpful and informative videos that can explain how to do it more than I can!

i hope this helps :)

anybody knows what to do ...​

Answers

Answer:

put them in goo gle they are chemicals they shoulf bting up a picture

Step-by-step explanation:

Write a ratio in simplest form that compares the number of basketball cards to the total number of cards.

Answers

I am expecting that 52 total cards

complete the algebra terms with table and graph given y = 2x +3

Answers

It’s really easy all you have to do is plug in the numbers
(In order)
-1, 1, 3, 5, 7, 9

HELPPP IM ON A TIME LIMIT IF I FAILE IM GOING TO GET A WHOOPING OK PLS HELP

Which of the following represents the equation below in intercept form?
f (x) = 2x² + 6x - 80

A) f (x) = (x-5) (x+8)

B) f (x) = 2 (x-5) (x+8)

C) f (x) =2 (x+5) (x-8)

D) f (x) = 2 (x-4) (x+10)

Answers

Answer:

A

Step-by-step explanation:

since your in hurry i wont be showing work

Answer: B

is B f(x) = 2 (x-5) (x+8)

Step-by-step explanation:

Because you simplify

f (x) = 2x² + 6x - 80

f (x) = 2x2+6x−80

f (x) = 2x2+6x−80

        = 2 (x−5)(x+8)

hope this help ;)

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