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?

f(n + 1) = f(n) + 5
f(n + 1) = 5f(n)
f(n + 1) = 1.05f(n)
f(n + 1) = 0.05f(n)

Answers

Answer 1

Answer:

C. f(n+1) = 1.05f(n)

Step-by-step explanation:

correct on edge

Answer 2

f(n + 1) = 1.05f(n) can be used to determine the total amount of money earned in any year based on the amount earned in the previous year.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

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, ...

hence, f(n + 1) = 1.05f(n) can be used to determine the total amount of money earned in any year based on the amount earned in the previous year.

To learn more on function click:

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Related Questions

I need to know an answer to an equation
2 2/5w = 21 3/5

Answers

Answer:

w = 9

Step-by-step explanation:

Firstly, change the mixed numbers to improper fractions, that is

[tex]\frac{12}{5}[/tex] w = [tex]\frac{108}{5}[/tex] ( multiply both sides by 5 )

12w = 108 ( divide both sides by 12 )

w = 9

Answer:

w=9

Step-by-step explanation:

1
Kelly is wrapping paper around a box. The box is 16 in. long, 14 in. wide, and 3 in. high. What is the minimum amount of paper Kelly needs to completely wrap the box?

Answers

Answer:

672 in squared

Step-by-step explanation:

you multiple all the number together

jayla invested $8200 in an account that grows continuously at an annual rate of 2.8%. write the function that represents the situation, where A is the value of Jaylas investment after t years. what will kayla’s investment be worth after 7 years to the nearest cent

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &7 \end{cases} \\\\\\ A=8200e^{0.028\cdot 7}\implies A=8200e^{0.196}\implies A\approx 9975.52[/tex]

A scientist measured the growth rate of a bamboo plant at 6 inches in 12 hours. What is the growth rate of the Bamboo? (in inches/hr)

Answers

Distance=6inTime=12hr

Growth rate

[tex]\\ \sf\longmapsto Distance/Time[/tex]

[tex]\\ \sf\longmapsto 6/12[/tex]

[tex]\\ \sf\longmapsto 0.5in/h[/tex]

1. Dan painted 3/5 of a wall using 1/5 of a can of paint. How many walls can he paint using one can of paint? ​

Answers

They can paint 3 walls with one can of paint. After using a full can, 15/5 walls would be painted, 15/5 = 3.

One can of paint will cover 3 walls.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

Answer:

smaller figure: 3

larger figure: 5

or, in other words, 3/5.

Step-by-step explanation:

simplify the fraction, or 15/25.

correct me if i'm wrong. hope this helps. :)

A prism is completely filled with 64 cubes that have edge lengths of 12 in. What is the volume of the prism? Enter your answer in the box

Answers

Answer:

answer;8

Step-by-step explanation:

I took the test and got it right

Answer:

110592 in^3

Step-by-step explanation:

12x12x12=1728

1728x64=110592

math question... lol

Answers

Answer:

answer is

Step-by-step explanation:

Surface are = (3 x 4) + (3 x 5) + (4*5) x 2  is calculate as 94 squat inches

                                         

What is the length of arc AB?
O 67 cm
O 127 cm
O 187 cm
O 367 cm

Answers

The length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.

What is the Length of an Arc?

If we are given a circle with radius, r, and a radian angle, ∅, therefore, the length of an arc would be:

S = r∅

Given the following:

r = 18 cm∅ = π/3 radians

Length of arc = 18 × π/3 = 6π cm

In conclusion, the length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.

Learn more about length of an arc on:

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Which of the following represents the value of a^-4/b^-2 when a is 3 and b is 2

Answers

Let's find out

[tex]\\ \sf\longmapsto \dfrac{a^{-4}}{b^{-2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{b^2}{a^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2^2}{3^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{81}[/tex]

help i need to know what answer to this is xd

Answers

40 students and 10 teachers

help me with this please​

Answers

we replace m by (-3)

so

P = (-3)² / (2 - (-3))

P = 9 / 5

Answer: B 9/5

Step-by-step explanation:

m^2 = 9

2-m = 5

9/5= 18/10 or 9/5

What are three consecutive integers that have a sum of 51?

Answers

Answer:

16, 17 and 18 im pretty sure

Step-by-step explanation:

Answer:

16, 17 and 18

Step-by-step explanation:

16+17+18=51

what is 50 approximately equal to

Answers

Answer:

50 lol

Step-by-step explanation:

can I please have brainliest I only need 2 more :)

What is the average rate of change of the line whose equation is:


y−3=−12(x+4)?


PLEASE HELPPPP

Answers

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

Rate of change = (-12(x + h) - 45 + 12x + 45)/h

Rate of change = (-12x - 12h - 45 + 12x + 45)/h

Rate of change = -12h/h

Rate of change = -12

El radio medio de la Luna es 1737 km, el de la Tierra es de 6,371 · 106 m, y el del Sol es de 6,96 · 105 km. a. ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna? b. ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra? c. ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?

Answers

Answer:

a) El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) El radio del Sol es 400.711 veces mayor que el radio de la Luna.

Step-by-step explanation:

a) ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna?

En esta pregunta nos piden la razón del radio medio de la Tierra al radio medio de la Luna. Las unidades están en kilómetros:

[tex]r = \frac{6.371\times 10^{3}\,km}{1.737\times 10^{3}\,km}[/tex]

[tex]r = 3.668[/tex]

El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón, definida en este caso como la razón del radio medio del Sol al radio medio de la Tierra. Las unidades están dadas en kilómetros:

[tex]r= \frac{6.96\times 10^{5}\,km}{6.371\times 10^{3}\,km}[/tex]

[tex]r = 109.245[/tex]

El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón. Una forma sintética de obtener la razón consiste en obtener el producto de las razones encontradas en a) y b). Es decir:

[tex]r = 3.668\times 109.245[/tex]

[tex]r = 400.711[/tex]

El radio del Sol es 400.711 veces mayor que el radio de la Luna.

El ayuntamiento impone un 15% de multas retrasadas ¿Cuál será el impuesto para multas de 75€?

Answers

Answer:

75 x 0.15 = 11.25

Step-by-step explanation:

A bus travels at a
speed of 58 miles per
hour for 2 hours. How
far does it travel?

Answers

116 miles total because 58 x 2 = 116

Which equation demonstrates the identity property of multiplication? 2/3 x 3 6/1 x 3 1/3 x 3 7/7 x 3

Answers

Answer:

10/3x4/1

Step-by-step explanation:

3 1/3= 10/3

3 7/7= 28/7= 4/1= 4

-----------------------------------------------

keep, change, flip

divided sign= * (for this)

keep: 10/3x4/1=

change: 10/3*4/1=

flip: 10/3*1/4= 1/10

Answer: 1/10

Hope this helped <3

if f(x) = 2x - 5, what is the value of f(-2)?​

Answers

2(-2)-5
-4-5
=-9
u just plug in -2 for x
f(x)/x=2x/x+5
f=2-5
f=-3
f(-2)
-3(-2)
6

PLEASE HELP picture below

Answers

Answer:

12/4 is equal to 15/5

The next equality after 12/4 is 15/5.

Answer:

15

Step-by-step explanation:

12/4=3, so x/5=3.

5x3=15

help me on this ill give brainliest

Answers

Answer:

1, 3, and 4 are correct

Step-by-step explanation:

We know that to find the radius, we divide the diameter by 2, so the first one is correct.We know that the second one is incorrect because we just said that we would divide the diameter by 2 for the radius, so we would multiply the radius by 2 to find the diameter.The third statement is correct because the circumference is approximately 3 times bigger than the diameter.The fourth statement is correct because the circumference is equal to pi times 2 times the radius.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K

Answers

Check the picture below.

The population of a city is 100,000. It doubles each decade for 5 decades.
Select all expressions that represent the population of the city after 5
decades.

Answers

Answer:

1000000

Step-by-step explanation:

hello, can anyone solve this equation? any help is appreciated!
4 + x = 11​

Answers

Answer:

The answer is 7

Step-by-step explanation:

So you would look at it this way, what plus 4 is going to equal 11? The answer is 7, so x would equal 7 :) I hope this helped!!

Answer:

7

Step-by-step explanation:

use reverse operation to find the missing

Addition=subtraction

Multiplication=division

11-4=7

A bakery sold a total of 160 cupcakes in a day, and 104 of them were chocolate flavored. What percentage of cupcakes sold that day were chocolate flavored?

Answers

Answer:

65%

Step-by-step explanation:

On a plane, 2/5 of the passengers were British. 30% of the British passengers were men. There were 36 British men on the plane. Find the total number of passengers on the plane

Answers

Answer:

76 passengers

Step-by-step explanation:

100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76

There were 300 passengers.

What is Algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

Fraction of British = 2/5

Percent of British men = 30%

Number of British men = 36

let the British passenger be x

30 /100 * x= 36

x=120

and let the total passenger by y

2/5 of y = 120

y= 120 * 5/2

x= 300

Hence, there were 300 passengers.

Learn more about algebra here:

https://brainly.com/question/24875240

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A school has 6 sports teams during the fall season, and each team has 20 members. How many fall athletes does the school have?
athletes

Answers

Answer:

120

Step-by-step explanation:

Basically you just 6x20=120

Hey there!

Answer: 120 fall athletes

Since each team has 20 members, and in total they have 6 teams

Then, we multiply

=> 20 × 6

=> 120


A car dealer buys a car for $500, and then sells it for $640. What
is the percentage profit?
is sold for $100.​

Answers

Answer:

28%

Step-by-step explanation:

I think:

640-500= 140

140/500 = 0.28 = 28%

640-500/500 x 100
140/500 x 100
0.28 x 100
28%

Pls help me with 8a and b

Answers

Answer:

Step-by-step explanation:

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