Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:

(0,50); (1,55); (2,60.5); (4,66.55)

What is the common difference or ratio?

a. The common difference is 0.48
b. The common difference is 0.50
c. The common ratio is 0.98
d. The common ratio is 1.1

Answers

Answer 1

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since [tex]60.5 - 55 \neq 55 - 50[/tex], it has a common ratio.

To find it, we divide consecutive terms. For example:

[tex]\frac{55}{50} = 1.1[/tex]

So the correct answer is:

d. The common ratio is 1.1


Related Questions

1. What is the range of y = x2 - 1, given the domain of (-2,-1, 0, 1, 2}?

Answers

I

I'm tryna figure out the same question

A JIT system uses kanban cards to authorize movement of incoming parts. In one portion of the system, a work center uses an average of 105 parts per hour while running. The manager has assigned an inefficiency factor of .35 to the center. Standard containers are designed to hold 3 dozen parts each. The cycle time for parts containers is about 90 minutes. How many containers are needed

Answers

Answer: 6 Containers are needed

Step-by-step explanation:

The ideal number of Kanban cards can be calculated using the following formula;

N = (DT × ( 1 + X)) / C

where N is total number of container,

D is panned usage rate of using work Centre

T is Average waiting time for replenishment of parts plus average production for a  container of parts,

X is policy variable set by management that reflects possible inefficiency in the system ,

C is capacity of standard container.

Now, given that;

D = 105 parts

T = 90min = 90/60 = 1.5 hrs

X = 0.35

C = 3 × 12parts = 36 parts

so; we substitute

N = (105×1.5 × ( 1 + 0.35)) / 36

N = 212.626 / 36

N = 5.9063 ≈ 6

Therefore 6 Containers are needed

HELPPPPPPPLLL
You-tube music channel plays 4 rap songs to 2 pop songs. The ratio is 4:2. Based on the information provided, how many rap songs does You-tube play for every 8 pop songs? How many pop songs does You-tube play for every 12 rap songs?

Answers

Answer:

16

Step-by-step explanation:

4:2

2x4 = 8

4x4=16

Stations 1, 2, and 3 are bus stations. The equation y = 160x represents the number of people that go to Station 1, where y is the total number of people and x is the number of hours since opening. The table shows the same relationship for Station 2, and the graph shows the relationship for Station 3.

Answers

Answer:

station three for part a and 2,064 for part b

Step-by-step explanation:

i got the answer correct

2. 5²- 4 +3 • (9 • 2) /2=
3. 4³ - 4(8-7) +12=
4. 6(5 +4) + 4 – 3 •4 =
5. 10²- 4 + 1 • (9 • 2) /2 =
6. 32 -5 + 8 / 2 • 5 =
7. 3² • (1+4) + 4 – 3 • 4 =
8. 9² • (1+4) + 7 – 3 • 4 =
9. 3³ - (2+4) + 5 – 3 • 3 =
10. (2 + 5) – 3 + 4 • 2 + 1³ =

Answers

2) 48

3) 72

4) 48

5) 105

6) 47

7) 37

8) 400

9) 17

10) 13

I hope this helps! Let me know if I get anything wrong so I can fix it.

Steven hiked 3/8 mile in 1/4 hour. How fast did he hike, in miles per hour?

3/23

2/3

1 1/2

4

Answers

It's the first option, 3/23

what is 40% less than 70​

Answers

Answer is 42. 70 x .4 =28. 70-28

What is the slope of the line graphed on the coordinate plate? (1,-2) (0,6)

Answers

Answer:

m = -8 (Two points slope form)

Step-by-step explanation:

y = -8x + 6

Definition: This is an approximate calculation of quantity or degree or worth.
Example: Bill Gates net worth is about 75 billion dollars.

Answers

I don’t get the question

Answer:

estimation

Step-by-step explanation: Just got it correct thanks to the person in the other answers comments

Taylor bought a painting for 1 million yen

Answers

Answer:

Yen is the currency of Japan

What is the inverse of the function f(x) = 1/4x-12?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=4x+48}[/tex]

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

Step 1: Write the function as [tex]y=mx+b[/tex] Step 2: Swap all x and y values Step 3: Solve for y Step 4: Replace y with [tex]f^{-1}(x)[/tex]

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function [tex]y=\frac{1}{4}x-12[/tex].

Step 2: We can swap where the x and y values are, making our equation

[tex]x = \frac{1}{4}y-12[/tex]

Step 3: We can now solve for y.

[tex]x = \frac{1}{4}y-12[/tex] [tex]x + 12 = \frac{1}{4}x[/tex] [tex]4x+48 =y[/tex]

We now have the function as [tex]y = 4x+48[/tex].

Step 4: We can now replace the y with [tex]f^{-1}(x)[/tex].

[tex]f^{-1}(x) =4x+48[/tex]

Therefore the inverse of [tex]f(x) = \frac{1}{4}x-12[/tex] is [tex]f^{-1}(x) =4x+48[/tex].

Hope this helped!

What’s the answer for step 5 and 6

Answers

Answer:

Step-by-step explanation:

Step 4)   AW  = PW

Step 5) ΔAWB  ≅ ΔPWR                      {A A S}

Step 6) RW ≅ BW                     {corresponding sides of congruent triangles are congruent}

The students in a class were each asked to name their favorite meal of the day. The results are shown in this percentage bar graph. Which table could be represented by the percentage bar graph?

Answers

Answer:

bar graph??? we need a pic

The requried table that represents the bar graph is table H.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total number of students is 30,

Now,

10% of students take lunch,
So the number of students who take lunch,
= 10% of 30
= 3

Similarly,

Number of students who takes Breakfast = 9
Number of students who takes super = 18

Thus, the requried table that represents the bar graph is table H.

Learn more about percentages here:

brainly.com/question/13450942

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i am thinking of a number x. What algebraic expression represents "eight less than three times this number "?​

Answers

Answer:

3x-8

Step-by-step explanation:

3x is three times the number, -8 is 8 less.

When this​ 3-digit number is rounded to the nearest​ hundred, it rounds to 400. The digit in the ones place is the fourth odd number you count beginning with 1. The sum of the digits is 12. What is the​ number?

Answers

Answer: 417

Step-by-step explanation:

Since the digit in the ones place is the fourth odd number that the person count beginning with 1, then the digit will be 7.

This means the number will be:

____ _____ 7. The number in the units and hundreds place are still unknown. But since the addition of the three numbers gives 12, and approximating to the nearest hundred gives 400. Then the number will be 417.

Check: 4 + 1 + 7 = 12

417 = 400 to nearest hundred

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks ina week?
There are 16 cups in a gallon

Answers

Answer:

7×0.5= 3.5 cups of water

Step-by-step explanation:

7×0.5 is the expression used to find how many cups she drank in a week

What's -3(x – 4) =

A. -3x + 12

B. -3x + 4

C. -3x - 4

D. -3x - 12​​

Answers

Answer:

Step-by-step explanation:

-3(x-4)= multiply -3 with each term in parenthesis

-3x+12  choice A

write an equivalent expression to present patricia total earnings this week 7h + 135 + 5h = ?h + ?​

Answers

Answer: 12 h + 135

Step-by-step explanation: 7h +135 + 5h = ?h + ?​

                                             7h +5h +135  

                                            =12h +135

So u combine like terms together  which are 7h and 5h which gives you 12 h.And then you have 135 left,so you add 12h to 135.

Ps.If you don't know what like terms are.I will explain down below.

Like terms are  variable that are the same.For an example 4y and 3y are like terms .Another example is 1/3 xy and 6xy .

Hope this helps :) and if it does please give brainliest .

pls hurry I need this. can y'all answer this ?

Answers

The answer would be
1.)12.9%
2.)45.15%
3.)I need the full sentence to figure it out

Hope this helps

Have a great day/night

(If you want me to explain then please ask)

Someone help me
Find the x and y intercepts of the function

Answers

jacol jacol boy 103847wks

HELP ME I NEED SOMEHELP
PLZ
PLZ
PLZ

Answers

Step-by-step explanation:

2/7

2×2 = 4

___

7×2 = 14

2×3 = 6

___

7×3 = 21

2×4 = 8

___

7×4 = 12

A cable car suddenly slackens while crossing an 86 m wide gorge. The cable makes an angle of depression of 57 degrees at one end and 40 degrees at the other end. How long is the cable that holds the car?

Answers

Answer:

I took the test its 63

Step-by-step explanation:

please mark brainliest

write an equation that describes the function​

Answers

Answer:

x+7

Step-by-step explanation:

Hope this helps!

Please mark me brainliest if possible. :)

A garden has the form of a right triangle. One leg of the triangle is formed by a 2000-ft long sea wall. The hypotenuse of the triangle is 400 ft longer than the other leg. What are the dimensions of the garden?

Answers

Answer:

[tex]H = 5200[/tex] - Hypotenuse

[tex]S_1 = 2000[/tex] - Leg 1

[tex]S_2 = 4800[/tex] - Leg 2

Step-by-step explanation:

Represent the dimensions as:

[tex]H = Hypotenuse[/tex]

[tex]Other\ Legs = \{S_1,S_2\}[/tex]

So, we have:

[tex]S_1 = 2000[/tex]

[tex]H = 400 + S_2[/tex]

Required

Determine the dimensions

Apply Pythagoras theorem

[tex]H^2 = S_1^2 + S_2^2[/tex]

This gives:

[tex](400 + S_2)^2 = 2000^2 + S_2^2[/tex]

Open bracket

[tex]160000 + 800S_2 + S_2^2 = 4000000 + S_2^2[/tex]

[tex]160000 + 800S_2 = 4000000[/tex]

Collect Like Terms

[tex]800S_2 = 4000000 - 160000[/tex]

[tex]800S_2 = 3840000[/tex]

Solve for S2

[tex]S_2 = \frac{3840000}{800}[/tex]

[tex]S_2 = 4800[/tex]

Recall that:

[tex]H = 400 + S_2[/tex]

[tex]H = 400 + 4800[/tex]

[tex]H = 5200[/tex]

Hence, the dimensions are:

[tex]H = 5200[/tex]

[tex]S_1 = 2000[/tex]

[tex]S_2 = 4800[/tex]

Estimate the sum of 6107 and 2960 to the nearest thousand.


How u do this

Answers

Answer:

9,000

Step-by-step explanation:

You would add it together.

6107 + 2960 = 9,067

You round the thousand (9) to the 0.

The rule is that if any number next to the one your rounding is higher then 5 or is 5 then the rounding number will go up, if its 4 or below if won't go up but stay the same.

9,067 would not go up but stay the same because of the rule.

Estimations are guesses from the mind so an exact answer wouldn't work but its whatever.

hellllllllllllllllllllllllllllppppppppppppppppp

Answers

Answer:

11

Step-by-step explanation:

2.2x 5 = 11

AWNSER: W=11

Hope This Helps, have a great day!

What is the explicit formula for the geometric sequence with this recursive formula? { a1 = -7 an = an-1 • (1/3)

Answers

9514 1404 393

Answer:

  an = -7(1/3)^(n-1)

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

The multiplier in the recursion relation is the common ratio: 1/3. The first term is given as a1 = -7. Putting these in the general formula, we have ...

  an = -7·(1/3)^(n-1)

Is the binomial a factor of the polynomial function?

f(x)=x^3+4x^2-25x-100
Select Yes or No for each binomial.

Binomial Yes No
(x-5)
(x+2)
(x-4)

Answers

binomial (x+11) answer

No
Yes
Yes
Are the answers

Estimate the sum by rounding each number to the nearest tenth: 0.214 +0.61​

Answers

The estimate of the sum by rounding each number to the nearest tenth is 0.8

How to estimate the sum by rounding each number to the nearest tenth?

Estimation is a method used for calculating the approximate value of a quantity (just to get a 'rough answer')

In estimation 1, 2,3, and 4 are rounded down while 5, 6, 7, 8 and 9 are rounded up.

Rounding each number to the nearest tenth:

0.214 = 0.2

0.61 = 0.6

The sum = 0.2 + 0.6 = 0.8​

Learn more about Estimation on:

brainly.com/question/28416295

#SPJ1

What is the value of b?

Answers

Answer:

interior angle of a hexagon = 720

straight line is a 180 degree angle.

180- 116 = 64

a=64

180- 82 = 98

116 + 98 + 90 = 304

720 - 304 = 416

416/3 =138.666666

b=138.666666

that's as far as I could get not 100%

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