Question 3 V (t) 30(1.05), where t is the time, in years, since opening the account Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as To the nearest cent, what is the average rate of change in the value of the account for the first 3 years? A $0.63/year B $1.58/year С $3.15/year thing D $4.73/year

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The average rate of change in the value of the account for the first 3 years is, $3.15/year. So Option C is correct.

What is the rate?

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

The average rate of change in the value of the account for the first 3 years can be calculated as follows:

Let t = 0 be the time when the account is opened,

and t = 3 be the end of the third year.

The value of the account at t = 0 is V(0) = 30,

and the value of the account at t = 3 is

V(3) = 30(1.05)³

The average rate of change in the value of the account over the first 3 years is given by the formula:

⇒ (V(3) - V(0)) / (3 - 0)

⇒ (30(1.05)³ - 30) / 3

⇒ $3.15/year

Hence, the average rate of change in the value of the account over the first 3 years is approximately $3.15/year

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Related Questions

Which set of sides would make a right angle?

8,10,12

4,5,6

5,12,13

5,10,12

Answers

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)

Answer:

Step-by-step explanation:

Need help real quick haha pls

Numbers as answers only, no variables pls. thank u! :)

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Answer:

n = -6

Step-by-step explanation:

Find the mean of the following numbers:

32, 45, 33, 32, 43, 36, 38, 41, 39, 30, 44

Answers

Answer:

Step-by-step explanation:

Mean: 41+39+48+52+41+48+36+41+37+35/10

=41.8

Mode:41

Median:41

30, 32, 32, 33, 36, 38, 39, 41, 43, 44, 45 added together = 413
Divide by 11 (the number of items in the set)
Mean = 37.54545454
I don’t know how many decimal places they want you rounding to.

Can someone please help me with this math problem please:):)

Answers

Answer:

4800cm²

Step-by-step explanation:

20x30x8=4800

4,800 cm just multiply each side and that’s ur answer

Maria counted the number of candies in ten different boxes. the number of candies are 57 38,45,49,52,56,41,50,61, and 60. What is the mean absolute deviation of the number of candies.

Answers

Add all the numbers then divide them by the amount of numbers

509 divided by 10 = 50.9

A rectangle is 12 cm long and 8 cm broad.
The length and breadth of the rectangle are
both increased by the same amount, dcm.
If the area of the rectangle is now 221 cm,
find the value of d. with a digram

Answers

Answer:

Step-by-step explanation:

because 17 is the mulitple

A board game comes with the set of cards
shown below. Find each ratio in simplest form.

Answers

by row...
5:12
2:1
1:2
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Maria says that the solutions of the inequality are y. Find, describe, and correct the error in Maria's work, shown here.

Answers

Answer:

Y=-1

Step-by-step explanation:

2(2y-1)<-6

4y-2<-6

4y<-6+2

4y< -4

y< -1

A teacher buys a ruler for $2.25 and a sketchbook for $10.25 for each student in their classroom. The teacher spenes a total of 5525.0D for all of the
rulers and sketchbooks

Answers

what’s your question ?

help btw it needs to be rounded to the hundredths

Answers

Answer:

Hewo!!!

The answer is 9.1 or if you don't want a decimal then, 9.

Step-by-step explanation:

10% ?

___ ___

100 91

First:

you make them into fractions (hint: 100 is ALWAYS the denominator of your percent)

Second:

You multiply 10 and 91 which gives you 910

Third:

910

___

100

You put the fractions like this and cross out the two zeros to get this:

Lastly you divide 91 and 10 which gives you 9.1 and if you don'y want a decimal then round it to the nearest whole number which gives you 9.

Hope this helps!! =3

4 + 2x 2 + 3y + 7 – x 2 + 2y simplify

Answers

Answer:

[tex]x^{2}[/tex] + [tex]5y[/tex] + [tex]11[/tex]

Step-by-step explanation:

El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.

Answers

Answer:

Area of sector = 144.4π cm²

Step-by-step explanation:

Given:

Perimeter of circle = 40π cm

Given angle = 130°

Find:

Area of sector

Computation:

Perimeter of circle = 2πr

⇒ 40π = 2πr

⇒ 40 = 2r

⇒ Radius r = 40 / 2

Radius r = 20 cm

Area of sector = [θ/360][π][r]²

⇒ Area of sector = [130/360][π][20]²

⇒ Area of sector = [0.361][π][400]

Area of sector = 144.4π cm²

An equation is represented by the model below

What is the value of x that makes the equation true?

If you can may someone explain how to do this also? Thanks!

Answers

Answer:

The value of x=5!

Step-by-step explanation:

I remeber ing this!!!:)

Shirts are on sale for 30% off. The original price of one shirt is $15. What is the total cost, in dollars, of 2 of these shirts at the sale price, including a 7% sales tax?

Answers

Answer:

I pretty sure the answer is $22.47

Step-by-step explanation:

15+15=30-30%=21+7%=22.47

Answer:

Hi ! The answer to your question would be $23.54

Step-by-step explanation:

30% off of $15 would bring you to $10.50, if you add $10.50 twice u would get $21. The 7% sales tax would be $2.54, adding that to $21 you get $23.54

3/9=X/27
Solve for X

Answers

3/9=X/27

9/27=3

3 x 3 = 9

For the graph, what is a reasonable constraint so that the function is at least 600?

Please only submit REAL answers WITH an explanation as to why you chose it!

graph of y equals minus 2 times the square of x plus 40 times x plus 600

A- −10 ≤ x ≤ 30
B- x ≥ 0
C- All real numbers

Please right answers only!

Answers

Answer:

I remember taking this too. So, the correct answer is A! I SWEAR ITS RIGHT!

Step-by-step explanation:

Answer:

Step-by-step explanation:

CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help

Answers

Answer:

Step-by-step explanation:

x is 0

1+0=1

It’s 1 because you can see the distance from r to the x axis is 1

This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles

Answers

Grdndgeorgeheheuehe

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Answers

Answer:

im pretty sure the ones that say "if not replaced" are independant, sorry if im wrong but im trying to help you out :)

Step-by-step explanation:

Two boys each run 3 ½ miles for 4 days. How many total miles did they run?

Answers

Answer:

They ran 28 miles total!

Quick Step-by-step explanation:

3 1/2 = 3.5

3.5 x 4 = 14

14 miles per boy so then, 14 x 2 = 28

Hope this helps!

if it costs 21.6$ for 12 brownies, how much would it cost for 1

Answers

21.6 divided by 12= $1.80

Answer:

1.8$

Step-by-step explanation:

simply just say 21.6 divided by 12 (number of brownies) which equals to 1.8

so therefore the answer is 1.8$ for 1 brownie

please help with this question?!?

Answers

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

Remember to find the area it is length x width

9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416

HELP PLEASE

1. 5x + 7 = 2x + 16
2. 3x + 4 = 5x – 10

Answers

Answer:

1. x=3

2. x=7

Step-by-step explanation:

12x−5y=−20 y=x+4 x=x=x, equals y=y=y, equals

Answers

Answer:

The solution is (0, 4)

Step-by-step explanation:

Please pay attention to the first two equations and drop the last two:

12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:

12x−5y=−20

y=x+4

Let's find x. Substitute x + 4 for y in the first equation, obtaining:

12x - 5(x + 4) = -20

Carrying out the indicated multiplication, we get:

12x - 5x - 20 = -20, or 7x = 0

If x = 0 then y must be 0 + 4, or 4.

The solution is (0, 4)

Answer:x=0 y=4

Step-by-step explanation: khan

I need help with my homework

Answers

Interesting question

Isaac paid $81 for a new surfboard. The amount paid was 60% of his total savings. How much money did he have in his savings before buying the surfboard?

Answers

Answer:

$135

Step-by-step explanation:

Given data

Amount paid for new surfboard= $81

Percentage of the savings paid= 60%

Let the amount of the savings be x

Hence

60% of x= 81

60/100*x= 81

0.6x=81

x= 81/0.6

x=$135

Hence his savings was $135

If (5^n)^3 = 5^12 then n= ?
6

Answers

Answer: n=4

Step-by-step explanation:

Uh I did some trial and error and it came up with the right answer

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Answer:

Não falo espanhoooooooooooooooool

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Answers

Answer:

Step-by-step explanation:

Answer:x=14

Explanation

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Answer:

square on the side - 7

first square on top 3

last square 10

Step-by-step explanation:

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