I can't remember how to do this

The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term

The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

The geometric series is given as:

an = 400(1.05)^(n-1)

Substitute 1 for n

a1 = 400 * (1.05)^(1-1)

Evaluate the product

a1 = 400

Substitute 2 for n

a2 = 400 * (1.05)^(2-1)

Evaluate the product

a2 = 420

Substitute 3 for n

a3 = 400 * (1.05)^(3-1)

Evaluate the product

a3 = 441

Substitute 4 for n

a4 = 400 * (1.05)^(4-1)

Evaluate the product

a4 = 463.05

Hence, the first four terms are

a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

Read more about geometric series at:

https://brainly.com/question/24643676

Answer:

a1 = 400

a2 = 420

a3 = 441

a4 = 463

C

Step-by-step explanation:

Answer

See in pic

Step-by-step explanation:

The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5

The ages are given as:

Adam = 3 years and 6 months

Zara = 2 years and 11 months

Rewrite the ages in months

Adam = 3 * 12 + 6 = 42 months

Zara = 2 * 12 + 11 = 35 months

Adam's age as a fraction of Zara's age is calculated using:

Fraction = Adam/Zara

This gives

Fraction = 42/35

Simplify

Fraction = 7/5

Hence, Adam's age as a fraction of Zara's age is 7/5

Read more about fractions at:

https://brainly.com/question/1622425

Answer

B

Step-by-step explanation

Please give me brainlist.

Answer:

y = [tex]\frac{1}{2}[/tex] x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - 2x + 1 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = [tex]\frac{1}{2}[/tex] x + 5 ← equation of perpendicular line

Answer:

2

Step-by-step explanation:

Standard form of a circle   (x-h)^2 + (y-k)^2 = r^2

  this circle is already in this form

     the center will be at   h, k    or   7,10

       the radius^2 = 4     so radius = 2

Answer:

[tex]12\ gallons[/tex]

Step-by-step explanation:

Step 1:  Determine the unit rate

[tex]Miles / Gallons[/tex]

[tex]162\ miles / 9\ gallons[/tex]

[tex]18\ miles/gallon[/tex]

Step 2:  Determine the amount of gasoline used for 216 miles

[tex]216\ miles * (gallon / 18\ miles)[/tex]

[tex]12\ gallons[/tex]

Answer:  [tex]12\ gallons[/tex]

Answer:

12

Step-by-step explanation:

1. Figure out how many miles the car can go with one gallon of gasolline

162 ÷ 9 = 18

1 gallon = 18 miles

2. Figure out how many times 18 can go into 216

216 ÷ 18 = 12

12 gallons = 216 miles

*We do this because we know that every time the car drives 18 miles its uses another gallon of gas.

The car will use 12 gallons of gasoline to travel 216 miles.

Answer:

I've got lots of ratios for you.

4/14

6/21

8/28

10/35

12/42

14/49

16/56

18/63

To calculate a ratio, next time do this...

If you are comparing one (A) to another (B), your formula would be A/B.

This means you are dividing information A by information B.

For example, if A is 5 and B is 10, your ratio will be 5/10.

Simple as that.

YW!!

Answer:

1) 3:4. 2) 30:40. 3) 45:80

Step-by-step explanation:

15:20 CAN SIMPLIFEY BY 5  SO. 15/5 =3 20/5=4  SO OVERALL ITS 3:4

The percentage shows that they were 28% more likely to come from Riverdale High school.

From the information given, the percentage of those from Rockport will be:

= 25/(25 + 44) × 100.

= 25/69 × 100

= 36.23%

The percentage of those from Riverdale will be:

= 44/(25 + 44) × 100.

= 44/69 × 100

= 63.77%

Therefore, the difference will be:

= 63.77% - 36.23%

= 28% approximately.

Learn more about percentages on:

https://brainly.com/question/24304697

Answer:

3.14km^2

Step-by-step explanation:

area of circle= πr^2

=3.14×1^2

=3.14km^2

Answer:

Step-by-step explanation:

Given:

Area of circle:

[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]

Solutions:

[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]

Solve.

[tex]\sf{1^2=1*1=1}[/tex]

[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

143/63 or 2 and 17/63

Step-by-step explanation:

multiply the length times the width

13/9 x 11/7

Answer:

r = 9 meters

Step-by-step explanation:

2r + 8 = 26 <== subtract 8 from both sides

    - 8     - 8

2r = 18 <== divide both sides by 2 to isolate the variable

/2    /2

r = 9 meters

Hope this helps!

Answer:

Step-by-step explanation:

To find the value of r, isolate it on one side of the equation.

[tex]\sf{2r+8=26}[/tex]

First, you have to subtract by 8 from both sides.

[tex]\sf{2r+8-8=26-8}[/tex]

Solve.

Subtract the numbers from left to right.

26-8=18

2r=18

Divide by 2 from both sides.

[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]

Solve.

Divide the numbers from left to right.

18/2=9

r=9

I hope this helps. Let me know if you have any questions.

Done!

Answer:

Step-by-step explanation:

Remark

If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.

Let's try this:

(5x  +   1) ( 1x + 3)

Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.

It looks like this works. 5 * 3x + 1x = 16x

Answer: t= Distance/Speed = 4/28= 1/7

Step-by-step explanation:

Speed is 28miles /hr

Distance = 4miles

Distance = Speed × time

Time(t) = Distance /Speed

Answer:

9.4

Step-by-step explanation:

I used r=C/2π as the formula

Answer:

It’s D

Step-by-step explanation:

Answer:

Step-by-step explanation:

It mentions the new line is perpendicular to the original line.

It also mentions it passes through the point (3, -1).

Using point-slope form of equation,

Answer:

1008

Step-by-step explanation:

If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%,  and you'll get 1008.

add the degrees 90 and 25 which gives 115° and subtract to give 65°

I am subtracting by 180 because angle on a straight line is 180 hope this helps

Answer: y is 155⁰ X is 65⁰

Step-by-step explanation: y = 180⁰ - 25⁰

X = 180⁰ - (90 + 25) = 180 - 115= 65

Straight line triangle is 180

Total angle in a triangle 180

Answer:

95th term

Step-by-step explanation:

the nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

the 60th term is then

a₆₀ = 6(60) - 4 = 360 - 4 = 356

so 210 more than a₆₀ = 356 + 210 = 566

now equate [tex]a_{n}[/tex] to 566 and solve for n

6n - 4 = 566 ( add 4 to both sides )

6n = 570 ( divide both sides by 6 )

n = 95

Answer:

95th term.

Step-by-step explanation:

The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term.  This can be written as 6n+2, where n starts at 0 for the first term.

n  Value  (6n+2)

0     2  

1      8

2     14

3     20

4     26

60   362

---

We want to know what term is 210 more than 362.  (362+ 210) = 572

We can solve by using the equation in reverse and solving for n:

(6n+2) = 572

6n = 570

n = 95

The 95th term (572) is greater than the 60th term (362) by 210.

This is the answer of your question

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.

Answer: area

Step-by-step explanation:

        Area is solved with L * W

        Volume is solved with L * W * H

        Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.

Answer:

Area.

Step-by-step explanation:

2 dimentional spaces have only area, and no volume. Volume describes the amount of space within the container

Answer:

500.00    equal

5 × 10      not equal

5 × 10²      equal

50.05     not equal

500.500      not equal

Step-by-step explanation:

The question is not complete or correct

The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.

From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.

The distance will be:

= 160 × cos30°

=160 × 0.866

= 138.56 feet

Learn more about velocity on:

https://brainly.com/question/1125420

#SPJ1

Answer:

S = 21

Step-by-step explanation:

21 - 19 = 2

Answer:

S=21

Step-by-step explanation: 21-19=2

Answer:

D

Step-by-step explanation:

First of all, "k" has nothing to do with determining vertical shrink/stretch, and therefore A and C can be eliminated from the choices. A shrink occurs with a fractional "a" value, so "a" must be greater than 1 in order for a vertical stretch to occur.