Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah’s grandma says if she saves that amount, she will give her an additional $50 each month. What are the recursive formula and first term for Sarah’s saving’s?

Sarah Has Saved $150. She Wants To Double The Amount She Saves Each Month. As An Incentive, Sarahs Grandma

Answers

Answer 1

Answer:

A₁ = $150.

Step-by-step explanation:

We know that:

Sarah has saved $150 at the moment.

She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300

And if she saves the $300, then her grandma will give her another $50.

Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:

2*A + $50

Then the recursive relation is just:

Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:

A₁ = $150.


Related Questions

48 divided by blank =6

Answers

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

Answer:

8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.

Step-by-step explanation:

the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer

Ivan currently has $ 45 saved. He had been saving $ 9 each week. You spent $ 126 of those savings yesterday. How many weeks have you been saving?

Write an equation that can be used to answer the previous question. First, choose the appropriate shape. Then fill in the blanks with the numbers 45, 9, and 126. Let w be the number of weeks.

please i need the procedure of this pls

Answers

9w + 45 = 126

Ivan earns $9 per week so we would write it as 9w
Add 45 to it because that is what he also saved
Then he spent those savings which was 126.
Now we can find how many weeks he was saving for.

First minus 45 from both sides
9w = 126 - 45 = 81

The divide both sides by 9
w = 9

Ivan has been saving for 9 weeks

The perimeter of a square is 30cm the perimeter of a rectangle is 30cm use this information to find out the area of the square below?

Answers

Step-by-step explanation:

perimeter of square = 30cm

perimeter of rectangle = 30cm

area of square is = 30×30= 900 cm

hope it helps , make sure to follow !!!!

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 6 and the denominator is decreased by 5, the new rational number obtained is 3/2. Find the original rational number.

Answers

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Original Rational number is = 6/13

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator is increased by 6Denominator is decreased by 5the new rational number obtained is 3/2

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

Find the location of K

Answers

Answer:

-2

Step-by-step explanation:

This is confusing and makes no sense

Answers

Answer:

A is the answer

rrrrrrrr

Law of indices a×10⁰×a​

Answers

Step-by-step explanation:

a×10⁰×a

Since, m⁰=1 therefore

a×1×a

a × 10⁰ × a = a × 1 × a = a × a =

Write a rule that describes how to find the number of legs for any
number of insects.

Answers

The rules of a dataset are what guide the formation of the dataset. The rule that describes how to find the number of legs for any  number of insects.

Add 6 or [tex]y = 6x[/tex]

Let:

[tex]x \to[/tex] number of insects

[tex]y \to[/tex] number of legs

From the table (see attachment), we notice the following:

As the number of insects increases by 1, the number of legs increases by 6.

Hence, the rule that describes how to find the number of legs is "Add 6"

A better approach is as follows:

From the table we have:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate the slope (m) of these points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12 - 6}{2-1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

The equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 6(x - 1) + 6[/tex]

[tex]y = 6x - 6 + 6[/tex]

[tex]y = 6x[/tex]

Hence, the rule is:

Add 6 or [tex]y = 6x[/tex]

Any of the above, can be stated as the rule that how to find the number of legs for any  number of insects.

Read more about linear functions at:

https://brainly.com/question/21107621

find the 50th term of 0,3,6,9

Answers

Answer:

150

Step-by-step explanation:

3×0=0

3×1=3

3×2=6

3×3=9

....

3×50=150

g(x)=3x-8
g(1)
help!

Answers

The question is asking to evaluate the function when the input value is 1 meaning we substitute one for every case of x. 3(1)-8 is equal to -5. Meaning g(1)=-5

what is 384757 + 293

Answers

The answer is 385050 because the one on top of this one is right

What have you discovered regarding data representation methods? What's the difference between qualitative and quantitative data?

For data and probability

Answers

Step-by-step explanation:

Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).

Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)

How do you know each of the sides of the shape are the same length?

Answers

Answer:

If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length. It is common to use tick marks to show that all sides are an equal length.

Step-by-step explanation:

Hope it helps love form india server

Answer:

they usually have double line on top of the lines of the shapes. for example square they have all the same lenght so they have double line signs on top of them

i hope this help. good luck

Please help 8th grade math

Answers

Answer:

1500 calories

Step-by-step explanation:

2400 is 100% of in this case, 8/8

So then we know that 1/8 of 2400 is 300 because we just divide it by 8. Sarah eats 5/8 that much so we multiply 300 by 5 which gives us 1500

Answer:

2400 x 5/8 = 1500

Step-by-step explanation:

Just multiply the fraction they gave u

1) One fifth of the sum of two angles is 36° and half of the difference between the two angles is 40°. Find the size of the two angles.
6) The price of 6 chairs and 3 tables is RM480. The price of 8 chairs and a table is RM400. Find the price of a chair and a table.
7) The sum of Wan Yee's and her mother's age is 60. Two years ago, her mother was three times older than Wan Yee. Calculate (a) Wan Yee's age now.
(b) her mother's age when she was born.​

Answers

Answer:

1) 130 degrees and 50 degrees 6) a price of a chair is 40, a price of the table is 80 7) a) 16 b)28

Step-by-step explanation:

1) Let it be that the first angle is x, The second one is y

1/5(x+y)=36- the first equation

1/2(x-y)=40- the second equation

The equations are simultaneous

x+y=180   and x-y=80

x+y+x-y=180+80

2x=260

x=130

y=50

6) The cost of a chair is x, the cost of table is y

6x+3y=480  2x+y=160

8x+y=400

8x+y- (2x+y)=400-160

6x=240

x=40

2*40+y=160

y=80

7) The Wan's age is x, the mother's age is y

x+y=60 x=60-y

Two years ago mother's age was y-2, when Wan;s age was x-2

y-2=(x-2)*3

y-2= (60-y-2)*3

y-2= (58-y)*3

y-2=174-3y

4y=176

y= 44

x=60-44=16- Wan's age now

44-16=28- her mother's age when she was born

The coordinates of point T are (0,3). The midpoint of ST is (3,-2). Find the coordinates of point S.

Answers

Answer:

(6,-6) use midpoint formula

Graph the equation: g(x) = 5 - 2x

Answers

So first you could need to find the x and y intercepts.

So the x intercept can be found why y is zero and vice versa.

so your graph would go through the points (0,5) and (2.5,0)

Find the slope of the line.
5
X
--5-6.
a. Undefined
c.
3
2
b. 0
d. -1

Answers

Answer:

undefined

Step-by-step explanation:

slope = ((y2-y1)/2) / ((x2 - x1 )/2)

since x1 = x2

so x2 - x1 = 0

then ((y2-y1)/2) / 0 = undefined

Laina buys 14 meters of ribbon. She cuts her ribbon into 2 equal pieces. How many meters long is each
piece? Label the tape diagram to represent the problem, including the unknown.

Answers

Answer:

Each piece is 7 meters long.

Step-by-step explanation:

The ribbon, being 14 meters long, would be 7 meters long if cut into 2 equal pieces because 14 divided by 7 equals 2.

In the following expression, both AAA and BBB are variables that can take positive values. Which of these actions will cause the expression's value to increase?

Answers

Answer:

A and C

Step-by-step explanation:

Keeping A constant and increasing B.

increasing A and keeping B constant.

The correct option is (A) and (C)

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

A^B(B +2)

As, both are in ratio of multiplication and B is also the power for A.

There is no possible of decreasing the quantity.

Hence, if A is constant then B increasing and B is constant then A is increasing .

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

help with this question -8=-16+n​

Answers

Answer:

8

Step-by-step explanation:

-16-8=8

Robert climbed 755 steps in a mix fraction of 12 1/2. How many steps did he average per minute?

Answers

Answer:

60.4 steps per minute

755 divided by 25/2 (12 1/2) equals 60.4

please help i’m failing algebra and it’s only the 3rd week

Answers

Ok relax this is really easy

Rational numbers are those which can be expressed as a fraction of 2 whole numbers
(2/3 , 1/2 etc)

Irrational numbers are those that CAN NOT be expressed as a fraction of 2 whole numbers
( pi, square root of 2, etc)

*Extra notes to help differentiate*

-An irrational number has endless non-repeating digits to the right of the decimal point.

- Every whole number is a rational number, because any whole number can be written as a fraction. For example, 2 can be written as 2/1

Yea also all of this

Answers

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Please give me the awnser

Find m
Find m

Answers

M= 37
3x-7+2x+2=180
5x-5=180
5x=185
x=37

HELPP!!
describe the pattern. then write the next 3 numbers
729,243,81,27

Answers

Answer: it's being devided by 3  heres is an equation [tex]\frac{729}{3^{n-1} }[/tex]  the next 3 numbers are 9,3,1

9
. 10
11
12
Yesterday, Jessica had 95 baseball cards. Today, she got d more. Using d, write an expression for the total number of baseball cards she has now.
ローロ

Answers

Answer:

95+d

Step-by-step explanation:

Given: g(x) = -3x + 5x and h(x) = 2x +1
Find: g(h(x+1)

Answers

Answer:

Answer is 0.67 rounding up

The largest theater has 42 rows.There are 14 seats in the first row.Each row has 4 seats more than the previous row.how many total are there in this theater?

Answers

Answer:

41 x 18 = 738 + 14 = 752

Step-by-step explanation:

Its says that there 42 rows .First row has 14 seats and the rest of 41 rows has with + 4 more so every row has 18 seats ,and asks how many seats are in total in the theater . To show that you understood the question you have to multiply 41x18 which gives 738 and then add + 14 from the first row so you can find out how many seats are in total .Hope that helps .

Lol help me :0

Company Employees attended a year end banquet. 43of the quests ordered chicken, while 12 more of them ordered steak and 9 fewer ordered seafood. How many quests attended the banquet?

I did 43+12-9 which = 46
But tbh I think i might be completely wrong. This is for Algebra 2 so why would a teacher give me this easy of a question. I'm also just thinking not to smart LOL please help

Answers

Answer:

58

Step-by-step explanation:

only 3 people ordered seafood so u add 43 12 and 3

SORRY IF I AM WRONG

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