The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.

The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 1,264(1.09)x

Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:

r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13


Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)

Answers

Answer 1

Exponential functions can either represent growth or decay.

Part A:

The function is given as:

[tex]f(x) = 1264(1.09)^x[/tex]

The above function is an exponential function.

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where b represents the rate.

When b > 1, then the function is increasing

By comparison:

[tex]b = 1.09[/tex]

1.09 is greater than 1

Hence, the amount of money in account A is increasing.

Part B:

Divide any two concurrent values on the table, to determine the rate of the table.

So, we have:

[tex]b = \frac{1512.50}{1375}[/tex]

[tex]b = 1.10[/tex]

By comparison:

1.10 is greater than 1.09 (the rate of account A).

Hence, account B records a greater percentage change in the amount of money

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer 2

A. because b > 1, the function is increasing, so the amount of money in account A is increasing.

B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money


Related Questions

Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?

Answers

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

8 7/3 divided 7 1/2

6 1/2 divided 34/4

23/3 divided 6 2/5

Pls help ASAP

Answers

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2)  13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

Find the range of data set 10, 18, 21, 28, 12, 20

Answers

Answer:

range 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.

[tex]28 - 10[/tex] [tex]18[/tex]

Therefore, the range is 18.

Winter fills 2/5 of a water bottle in 1/4

of a minute. How many bottles can

Winter fill in 1 minute?

Answers

Answer:

1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)

Step-by-step explanation:

If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5

it a car is traveling at 60 miles an hour how long will it take to travel 1 mile

Answers

the answer is 1 minute because an hour has 60 minutes and it jus makes sense

√80+√20 find it ......​

Answers

Answer:

Approximately 13.41

Step-by-step explanation:

First do square root of each, which is finding what number multiplies by its self to get the number.

For example: The square root of 80 is approximately 8.94, and the square root of 20 is approximately 4.47.

So: 8.94 + 4.47 = 13.41 (Add normally, but remember to put the decimal in the right place).

Hope this helped :)

hello can anyone please help with this.
Selina takes 1 and a half hours to cycle 12 miles.
What is her average cycling speed?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Given terms :

Distance covered (d) = 12 miles

Time taken (t) = 1.5 hour

Average speed :

[tex]v = \dfrac{d}{t} [/tex]

[tex]v = \dfrac{12}{1.5} [/tex]

[tex]v = 8 \: \ \: mph[/tex]

average speed = 8 mph

Answer:

8mph

Speed= Distance/Time

12/1.5= 8mph

420 seconds to 10 minutes

Answers

Answer:

420 seconds is equal to 7 min

So 7 to 10 or 7 : 10

pls brainliest

These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.

Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7

So 7 to 10 or 7 : 10

Hope this helped!

Have a great day

I really need help i need this ASPA

Answers

Answer:

Vertical angles

Actually the correct answer should be Vertically opposite angles

ORDER THE NUMBERS FROM GREATEST TO LEAST.

1. 7 ⁶/¹¹ , –7.6 , 7.34 (3&4 repeating), 7 ⁴/⁵

2. –10 ¹/⁵ , 10.19 , –10 ²/¹¹ , –10.20 (20 repeating)​

Answers

Answer:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Step-by-step explanation:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Plz help me I don’t understand. Thanks

Answers

there are two answer these are them:

5x + 2y = 10 and 15x = -6y - 9

Step-by-step explanation:

Solving Exponential Equations and Inequalities Solve for x 169% = 13" ​

Answers

Answer:

x = 100/13

Step-by-step explanation:

x 169% = 13

x = 13/169%

x = 13/1.69 = 13/169/100

x = 13 × 100/169

x = 100=13

[tex]\\ \sf\longmapsto 169\%x=13[/tex]

[tex]\\ \sf\longmapsto 1.69x=13[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]

[tex]\\ \sf\longmapsto x=7.69[/tex]

9+99999999999999999999

Answers

Answer:

1e20 or written as 100,000,000,000,000,000,008

x>-1
help please!!!!!

Answers

Answer:

but if it was x>1 it would be less equal to

Step-by-step explanation:

x < 1 is greater than

how to do estimate 81=25+8x​

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

is 24:4 equivalent to 6:1

Answers

If you divide 24 and 4 by 4 then you would get 6 and 1, so yes it is equivalent.

4x - 1 < 7 i don’t know what to do

Answers

4x - 1 < 7

To solve for x:

4x - 1 + 1 < 7 + 1

4x < 8

Divide both sides by 4:

4x/4 < 8/4

x < 2

if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​

Answers

Answer:

x = 1/10

Step-by-step explanation:

if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​?

3x + 101x - 24x = 8

80x = 8

x = 1/10

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

check

3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8

8 = 8

the answer is good

6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?

Answers

You might miss out on things you would want to buy .

Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?

Answers

Answer:

4hrs 7 minutes and 30 seconds

Step-by-step explanation:

1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy   1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan   3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris    Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds

Please help me due in an hour

Answers

Answer:

Ok so it would be square root 1

Step-by-step explanation:

what should the exponent be for 11 am

Answers

Answer:

-1

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

Answer:

2nd power is 121

3rd power is 1331

Step-by-step explanation:

LOL

Solve the equation 4x^2+36=0

Answers

Answer:

it have no answer in real number(but it have in complex number if you know)

Step-by-step explanation:

4x^2+36=0

4x^2=-36

(if you know complex numbers see this: x^2=-9 then

[tex]x = \frac{ + }{} 3i[/tex]

)

Can someone help me plz!!

Answers

Answer:

RMT or TMR

Step-by-step explanation:

The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.

angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.

Answers

Answer:

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.

M is measure of angle M

N is measure of angle N

M + N = 90 degrees

M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)

We can then use the second equation to substitute in M in the first equation with N - 38

N - 38 + N = 90

2N - 38 = 90

2N = 128

N = 64 degrees

We plug this value back into the first equation to find M

M + 64 = 90

M = 26 degrees

The measure of ∠M and ∠N are 26° and 64° respectively.

What is a supplementary angle ?

Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.

According to the given question angle M and angle N are complementary.

Sum of these two angles ∠M + ∠N = 90°.

Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.

Therefore, x + (x-38) = 90°.

2x = 90° + 38°

2x = 128°.

x = 64°.

∴ The measure of ∠M is (64 - 38 )° = 26°.

learn more about angles here :

https://brainly.com/question/7116550

#SPJ2

Find the area I will make you Brainliest (show working) the bottom number is 8 cm where it says liveworksheets​

Answers

Answer:

228cm^2

Step-by-step explanation:

 

Multiply 18cm by 10cm:

18 x 10 = 180cm^2

So we have the area of the biggest/top part: 180cm^2

   

For the bottom part:

You've said the length of the bottom side is 8cm.

We know the length of the biggest side: 24cm. And we know the length of the opposite side: 18cm. So, to find the length of the missing side, it's simple subtraction:

24cm - 18cm = 6cm

So now we have lengths for 2 sides: 8cm and 6cm.

Multiply these to give the area:

8cm * 6cm = 48cm^2

Add these areas of both shapes together to give total area:

180cm^2 + 48cm^2 = 228cm^2

1) Find the value of x

2) Justify your answer by explaining the series of angle relationships used to prove the value of x.

Answers

Answer:

65

Step-by-step explanation:

hello dear!

suppose that y and x are the straight line.

as we know that:

115=y (reason: corresponding sides are equal in parallel lines)

now,

y + x= 180(straight angle)

now we keep the value of y i.e. 115

115+x=180

x=180-115

x=65

as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .

so therefore, the value of x = 65°

hope it helps!

Help please help me

Answers

Answer:Hi

Step-by-step explanation:  

how do you solve y=x+12 y=-18

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Someone PLZ answer this I willl give brainliest

Answers

Answer:

8

1

1/2

20

Step-by-step explanation:

hope helful plsgive brainliest

Answer:

[tex]\frac{1}{2}[/tex]  is the 3rd one  1 is the last one 20 is the first one  8 is the second one

Step-by-step explanation:

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