Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?

A. f(n + 1) = f(n) + 5
B. f(n + 1) = 5f(n)
C. f(n + 1) = 1.05f(n)
D. f(n + 1) = 0.05f(n)

Answers

Answer 1

1.05 should be it

Step-by-step explanation:

In a recursive formula, each term of the sequence is found by using the previous term.  In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.

To find this common ratio, we find the percent of change between terms.  We do this by using the formula

% change = (amount of change)/(original amount)

The amount of change between the first two terms is 105-100 = 5.  This makes the percent change

5/100 = 0.05

The amount of change between the second two terms is 110.25-105 = 5.25.  This makes the percent change

5.25/105 = 0.05

However, the common ratio in the sequence is not 0.05.  This is because multiplying by this decimal would make the terms decrease instead of increasing.  In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.

This gives us the recursive formula

Answer 2

Answer:

the correct answer is C. f(n + 1) = 1.05f(n)

Step-by-step explanation:

just got it right 2020 edg


Related Questions

PLEASE HELP ASAP ILL GIVE YOU BRAINLEST


Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?

Answers

Step-by-step explanation:1,200x 0.06 interest= 72.

She paid it over the course of 9 months, so 72x9= 648.

Mira pay $1,254 the bank back all together.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

Mira borrowed $1,200 from the bank to help pay rent.

And, The bank charged 6% interest over 9 months.

Now, We know that;

⇒ Simple interest = PRT / 100

Where, P is principle amount, R is rate and T is time.

So, We get;

⇒ Simple interest = PRT / 100

⇒ Simple interest = 1200 × 6 × 9/12 × 1/100

⇒ Simple interest = $54

Hence, The total amount to pay back to bank is,

Amount = Principle amount + Interest

⇒ Amount = $1,200 + $54

⇒ Amount = $1,254

Learn more about the simple interest visit;

brainly.com/question/2294792

#SPJ2

Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)

Answers

the answer should be 4 (4+9)

Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables

Answers

Given:

After driving for 20 minutes, Juan was 62 miles away from his apartment.

After driving for 32 minutes Juan was only 38 miles away.

The time driving and the distance away from his apartment form a linear relationship.

To find:

The independent and dependent variables.

Solution:

If the value of a variable depends on the another, then it is called dependent variables.

If the value of a variable does not depend on the another, then it is called independent variables.

In the given problem, the distance of Juan from his apartment depends on the time he drove. So,

Dependent variable = Distance of Juan from his apartment in miles.

Independent variable = Time he drove

Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)

Answers

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

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

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

[tex]y=mx+b[/tex]

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]

8.4 km/min into km/h​

Answers

Answer:

504km/h

Step-by-step explanation:

there are 60 minutes in an hour.

8.4kmx60min= 504km/h

What’s the diameter and the radius

Answers

Answer:

Radius is 12 (24/2)

Diameter is 24 (a straight line passing from side to side through the center of a circle)

Solve for x 5z-8=-28

Answers

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

which actions are most likely to lead to the discovery of new info

Answers

Answer:

the answer is D :3

Step-by-step explanation:

you must use the dividen to answer the question

f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

Mr. Bohman is taking out a loan so that he can buy more bees. If he takes out a loan of $5,500 at 10% simple interest for 7 years, how much interest will he have to pay

Answers

Answer:$3850

Step-by-step explanation:fist do 5,500 X 1 =500

Then do 500 X 7 = 3850

what value of x makes this equation true:
8x + 7 = 79

Answers

Answer:

x equals to 9

9

x is 9

x is 9

Need help Just say a b c or d

Answers

Answer:

A) 2

Step-by-step explanation:

19=2x-15

19-15=4

4=2x

4÷2=2

×=2

The answer is B. Hope this helps!

y = –6x+2
–12x – 2y = –4
How many solutions does this linear system have?

one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

y = -6x + 2 . . . . . . . . (1)

-12x - 2y = -4 . . . . . . (2)

Putting (1) into (2), we have

-12x - 2(-6x + 2) = -4

-12x + 12x - 4 = -4

-4 = -4

Therefore, the system has infinite number of solutions.

I hope this helps you! :3 :)

Answer:

infinte number of solutions

Step-by-step explanation:

2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?

Answers

Answer:

Square 18.

Step-by-step explanation:

First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.

Hope this helps!

- Danny multiplied a number by 7 and
added 32. Paul multiplied the same
number by 5 and added 92. After
these calculations, both boys arrived
the same answer. Which equation
can be used to determine what
number each boy multiplied?

Answers

Answer:

A.

Step-by-step explanation:

x is what is representing the unknown number. So, both are multiplying x (the unknown number) by 7 and 5, respectively, and adding that number by 32 and 92, respectively.

A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m

1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?

Answers

Answer:

0.616m

Step-by-step explanation:

A spinner with 10 equally sized slices has 2 red slices , and 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or yellow slice?

Answers

Given parameters:

Number of equally sized slices = 10

Red slices  = 2

Yellow slices  = 4

Blue slices  = 4

Unknown:

Probability that the dial stops on a red or yellow color  =?

Solution:

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome }{Total outcome}[/tex]  

   This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.

Pr(red  or yellow) = Pr(red) + Pr(Yellow)

                             = [tex]\frac{2}{10}[/tex]  + [tex]\frac{4}{10}[/tex]

                              = [tex]\frac{6}{10}[/tex]

                              = [tex]\frac{3}{5}[/tex]

The probability of red or yellow is [tex]\frac{3}{5}[/tex]

Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer

Answers

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

Question 1.

what equation is graphed in this figure?

A. y-4= -1/3(x+2)

B. y-3=1/3(x+1)

C. y+2=-3(x-1)

D. y-5=3(x-1)

Question 2.

a line has a slope of 3 and goes through the point (6,-5) what is the equation of this line in standard form?

A. -3x+ y=-13

B. -3x + y=21

C. 3x+ y= 13

D. -3x y= -23

Question 3.

a line passes through the points (-4,-9) and (-2,-6) what is the equation of the line in slope- intercept form?

A. y=2/3x +3

B. y=3/2x-3

C. y=2/3x -3

D. y=2/3x+3 ​

Answers

Answer:

whats the choice dudududududeudeudeududueduedudeuduededeudeudueduedeudeud ededeededede

Step-by-step explanation:

what is the choices !$.$.$&.

What is the simple interest formula?

A.I=P-rt
B.I=Prt
C.I=P+r+t

Answers

the answer should be I=prt
The answer is B!!!!!!

Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.

(0, 10)

(3, 2.5)

(-2, 15)

(2, 5)

Answers

Step-by-step explanation:

so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.

10(0)+4(10)=40

Answer:

(0, 10)

Step-by-step explanation:

substitute the value of x,y given into the formula, that equates 40.

10x + 4y = 40

let x = 0, y = 10  ;         10(0)  + 4(10)   = 40    

let x = 3, y = 2.5 ;         10(3)  + 4(2.5) ≠ 40     x

let x = -2, y = 15  ;         10(-2) + 4(15)   ≠ 40    x

let x = 2, y = 5     ;        10(2)   + 4(5)    ≠ 40    x

therefore, (0, 10) is the right answer

list 1/6, -4, sq root of 8, 4.3 from least to greatest 

Answers

Answer:

-4, 1/6, sq rt 8, 4.3

Step-by-step explanation:

1/6=.167

sq rt8= 2.82

A is opposite _________???

Answers

Like BC! Hope this helps :)

The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?

PLEASE HELPPP

Answers

Answer:

y(0) = -39

Step-by-step explanation:

15 * 3 = 45

6- 45 = -39

What is 2+2 how do you know?

Answers

Answer:

is 4

Step-by-step explanation add

A community center with 700
members has 56 teenage members.
What percentage of the members are
teenagers?
F 56%
G 8%
H 5.6%
J 80%

Answers

Answer:

8%

Step-by-step explanation:

divide number of teenagers by total and the multiply by 100... this is very basic

Answer: 8

Step-by-step explanation:

"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive

Answers

Answer:

C

Step-by-step explanation:

Look in your old textbooks

C) addition,

x + 4 = y + 4

HELP!!!!On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $7.75. On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95. Which of the following systems of equations can be used to determine the cost for one peach (p) and one watermelon (w)?

1. 5p+2w=$7.75
3p+4w=$10.95

2. 5p×2w=$7.75 (Wrong)
3p×4w=$10.95

3. 5w+2p=$7.75
3w+4p=$10.95

4. 5w×2p=$7.75
3w×4p=$10.95

Answers

Answer:

1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation:

Just make sure the sign is adding and the w and p are in the right spots

Answer: 1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation: did the test n got it correct, hope this helped :)

The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.

Answers

Answer:

f

Step-by-step explanation:

Can you please solve this.

Answers

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

They are not similar

Explanation: I did this
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