Aubree invested $8,300 in an account paying an interest rate of 2.2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?

Answers

Answer 1

Answer:

A≈11039.41

Step-by-step explanation:

Plug in values

A=8300(1.0055)^{52}

A=8300(1.0055)

52

Simplify

A=11039.4131948

A=11039.4131948

Round)

A≈11039.41

Answer 2

After a 13-year span, the money in the account would be  $11.038.4.

As mentioned in the question,
Aubree invested $8,300 in an account paying an interest rate of 2.2% compounded quarterly.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
principal(P) = 8300
rate(r) = 2.2% = 0.022
Time(a) = 13 years,
n = 4
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 8300[ 1 + 0.022/4]⁴ˣ¹³
Amount = $11.038.4

Thus, After a 13-year span, the money in the account would be  $11.038.4.

Learn more about compound interest here: https://brainly.com/question/14295570

#SPJ2


Related Questions

Which of the following points is between 2 and 3 on the number line?

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

Any number between 2 and 3

Step-by-step explanation:

Possible numbers: 2.1, 2.2, 2.3, 2.5, 2.6, 2.7, 2.8, 2.9

I believe 2 and 3 would count too.

30 POINTS !! HELP ME PLEASE! WILL GIVE BRAINLIEST TO BEST ANSWER
SHOW STEPS PLEASE! THANK YOU SOO MUCH!

Solve the system of equations

{3x−y=6
{6x+y=21

Answers

Answer:

The easiest way to solve this is by elimination.  

3x - y = 6  

6x + y = 21

Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

9x = 27  

Then solving for x leaves you with x = 3  

Then you take the x value of three and plug it into to either of the equations, so  

3(3) - y = 6

9 - y = 6  

subtracting 9  

-y = -3  

then dividing by -1  

y = 3  

so the solution is x = 3 y = 3 or (3,3)  

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Add 3x + 6x, and execute the y, then -6 from 21 and you got ur answer of 15!

pls help me thx very desparate

Answers

Answer:

4) Dmytro drank more juice

5) Henrietta is older

Step-by-step explanation:

4)

Dmytro drank 7/4 bottles which is 1.75 bottles

Jitka drank 1 1/2 bottles which is 1.5 bottles

So, Dmytro drank more juice

5)

Henrietta is 7 2/3 years old which is 7.66

Jagdeep is 65/12 years old which is 5.41

So, Henrietta is older

100PT AND BRAINLIEST! Two functions are graphed below. The exponential function is g. The linear function is h. Which option below gives the formula of k (x) = g(x) × h (x)?

A. k(x) = 2^x + 1

B. k(x) = x2^x + 1

C. k(x) = 2^x - 1

D. k(x) = x2^x - 1

Thanks so much in advance for your help, have a great day! :)

Answers

For h(x)

See line passes through

(0,2)(2,4)(3,6)

The function is

y=2x

For g(x)

Line passes through

(0,1)(1,2)(2,4)

Observe

2⁰=12¹=12²=4

So

The function is

y=2^x

Now

k(x)

g(x)×h(x)2^x(2x)2^{x+1}xx2^x+x

Answer:

Hope this helps! :)

Step-by-step explanation:

We can find the equations of the given functions as follows:

The linear function is h(x) = 2x + 1

The exponential function is g(x) = 2^x

To find k(x) = g(x) * h(x), we multiply the two functions:

k(x) = g(x) * h(x)

k(x) = 2^x * (2x + 1)

k(x) = 2^(x+1) * (x + 1/2)

So, the option that gives the formula of k(x) is:

k(x) = 2^(x+1) * (x + 1/2)

Therefore, the answer is:

k(x) = 2^(x+1) * (x + 1/2)

What is the mode of the data set: 17,13,18,20,17,15,12

Answers

Answer:

17

Step-by-step explanation:

17 is the most frequent number showing in the set.

Answer:17

Step-by-step explanation:

Mode = Most frequently occurred data

Mode = 17 (as 17 occurred 2 times in the given set of data)

Pls answer the question attached.
I WILL MARK U BRAINLIST

Answers

Answer:

(a - 2b - 3c)(a - 2b + 3c)

Step-by-step explanation:

a² + 4b² - 4ab - 9c²

= (a - 2b)² - 9c² ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

(a - 2b)² - 9c²

= (a - 2b)² - (3c)²

= (a - 2b - 3c)(a - 2b + 3c)

5x + 6y = -10
find x
5x+3y=20
find y

Answers

X= -2
Y= 20/3
Lmk if it helps

Find the equation of the exponential function represented by the table below:

Answers

Answer:

y=a(b)^x

y=0.01(3)^x

a is start, b is multiplier

what is the answer and how did you get it
X/4=3x -22

Answers

X=12x-88
X-12x=-88
-11x=-88
X=8

Twice a number plus 4 is the product of 4 and a number

Answers

Answer:

2n + 4 = 4n

Step-by-step explanation:

Twice a number n → 2 · n = 2n

Twice a number n plus 42n + 4

The product of 4 and a number n4 · n

Twice a number n plus 4 is the product of 4 and a number n2n + 4 = 4n

A hamburger and 2 drinks cost $6.00,2hamburgers and 2 drinks cost $9.60
How much does 1 drink cost?

Answers

h + 2d = 6
2h + 2d = 9.60
-2h - 4d = -12
2h + 2d = 9.60
- 2d = - 2.4
d = $1.20

Help. When five times a certain number is subtracted from 40, the result is -15. Find the number.

Answers

Answer:

that number is 11

Step-by-step explanation:

if you call that number n, you can make the following equation:

40 - 5n = -15

add 5n to both sides of the equation

40 = -15 + 5n

add 15 to both sides of the equation

55 = 5n

divide both sides by 5

11 = n

Answer:

11

Step-by-step explanation:

I put 11 and got it right

I need this answer asap…. quickest answer gets marked brainiest and hella points PLEASE HURRY!!!

Answers

Answer:

$-8295

Step-by-step explanation:

13.5% of 23700 is 3199.5. 3199.5 x 10 years is 31,995 so

23,700-31,995 is -8295.

Answer:

the answer i believe would be $5,557.89.i am currently learning the same as you and did everysingle step.hopefully this helps! 5,560 is the answer rounded to the nearest tenth!!! :)

Step-by-step explanation:

enrj rj ejnfe nkee c enmdkwmdkmwe

Answers

What is u trying to say ? Like is this a joke -

Answer:

4iowtesnV?mc

Step-by-step explanation:

Can u help me solve this pls

Answers

Answer:

2x +3(x +1.5)=12

Step-by-step explanation:

you do this because you are trying to find what x equals,

BTW I’m doing this right now as well

An expression is shown below.

Which expression is an equivalent expression?

Please work it out to show how you got the answer.

Answers

Answer:

C

Step-by-step explanation (A):

[tex]\frac{4}{5}(3x+5y)[/tex]

Apply the Distributive Property

[tex]\frac{4}{5}\times3x+\frac{4}{5}\times5y[/tex]

Cross out the common factor

[tex]\frac{4}{5}\times3x+4y[/tex]

Multiply the monomials

[tex]\frac{12}{5}x+4y[/tex]

Determine true/false

[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\\ \frac{4}{5}(3x+5y)\ are\ equivalent\\ False[/tex]

Step-by-step explanation (B):

[tex]\frac{4}{15}(3x-5y)[/tex]

Apply the Distributive Property

[tex]\frac{4}{15}\times3x-\frac{4}{15}\times5y[/tex]

Cross out the common factor

[tex]\frac{4}{5}x-\frac{4}{15}\times5y\\ \frac{4}{5}\times-\frac{4}{3}y[/tex]

Determine true/false

[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{15}(3x-5y)\ are\ equivalent:[/tex]

[tex]False[/tex]

Step-by-step explanation (C):

[tex]\frac{4}{15}(9x+25y)[/tex]

Apply the Distributive Property

[tex]\frac{4}{15}\times9x+\frac{4}{15}\times25y[/tex]

Cross out the common factor

[tex]\frac{4}{5}\times3x+\frac{4}{15}\times25y\\ \frac{4}{5}\times3x+\frac{4}{3}\times5y[/tex]

Multiply the monomials

[tex]\frac{12}{5}x+\frac{4}{3}\times5y\\ \frac{12}{5}x+\frac{20}{3}y[/tex]

Determine true/false

[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{15}(9x+25y)\ are\ equivalent:\\ True[/tex]

Step-by-step explanation (D):

[tex]\frac{4}{3}(3x-5y)[/tex]

Apply the Distributive Property

[tex]\frac{4}{3}\times3x-\frac{4}{3}\times5y[/tex]

Cross out the common factor

[tex]4x-\frac{4}{3}\times5y[/tex]

Multiply the monomials

[tex]4x-\frac{20}{3}y[/tex]

Determine true/false

[tex]Determine\ whether\ \frac{12}{5}x+\frac{20}{3}y\ and\ \frac{4}{3}(3x-5y)\ are\ equivalent:\\ False[/tex]

I hope this helps you

:)

-2+8(b+3)=86
Can you help me in this question please

Answers

Answer:

b = 8

Step-by-step explanation:

-2 + 8(b + 3) = 86

Open the parenthesis

-2 + 8b + 24 = 86

Combine like terms

8b + 22 = 86

Subtract 22 from both sides of the equation

8b = 64

Divide both sides by 8

b = 8

hi i need help on this one problem i’m not completely understanding what to do or what the answer is!!

Answers

Answer:

1 is function and 2 is not function.

Step-by-step explanation:

If a linear equation has one output for ever input it is a function. if you give a inout and you get two outputs, it is not a function. the input or x value is called domain and the output or y value is range.

Answer:

Step-by-step explanation:

Starting at 0:8 for every time the x(or the 0) changes up by 1 the y(or the 8) goes down by one

do that with the other  but look how the 4:11/12 is diff form the others. This usually means thar is is a pattern so it should look like

3:10

4:11/12

5:13

6:14

7:15/16

8:17

Bag contains 11 counters. 5 are white
a counter is taken out and not replaced. Second one is taken out. Prob that one of them is white

Answers

Answer:

6/11

Step-by-step explanation:

After taking 2 counters with no replacement, that only one of these is white. We will see that the probability is 6/11.

Given that;

there are 11 counters, 5 of them are white, 6 are not white

First we take the white one, the probability is equal to the quotient between the number of white counters and the total number of counters, so we have:

p = 5/11

And, also notice that there are 2 permutations:

first white, then non-white.

first non-white, then white.

So we need to add a factor 2.

P = 2*p*q = 2*(5/11)*(6/10) = 6/11

The probability is 6/11

We can also Do:

11/11 = Whole

11 - 5 = 6

Hence, Answer = 6/11

~Learn with Lenvy~

Question 5 (5 points)
(02.05 LC)
Which sequence of transformations creates a similar but not congruent triangle? (5 points)
a
Dilation and reflection
b
Reflection and rotation
с
Reflection and translation
d
Translation and rotation

Answers

A
because a dilation changes the size of the shape, but it’s still similar because it’s proportional to the original triangle.

Answer:

A

Step-by-step explanation:

dilation and rotation

CAN SOMEONE PLS HELP ME, I WILL GIVE BRAILIEST.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their values when d = 3.


2
1
4
3
0


the difference of 2 times d minus 3

4 added to the difference of d minus 3

the difference of d minus 3 divided by 2

the quotient of 12 divided by the
difference of 3 times d minus 3

Answers

Answer:

the difference of 2 times d minus 3= 6

4 added to the difference of d minus 3= 4

the difference of d minus 3 divided by 2= 0

the quotient of 12 divided by the difference of 3 times d minus 3= 2

Step-by-step explanation:

2 times 3 equals 6. 3 minus 3 equals 0. 6-0=6

d minus 3 equals 0. 4+0 equals 4

3 minus d equals 0. 0 divided by two is 0

3 times d= 9. minus 3 = 6. 12 divided by 6 = 2

hope this helps! (:

Check picture for question.

Answers

Answer:

∠A + ∠B = 180

20 + ∠B = 180

-20     -20

∠B =  160

what is 1 5/12 + 1 8/12 for iready

Answers

Answer:

3 1/12

Step-by-step explanation:

One rental car has a daily fee of $27 and a charge of $0.15 per mile. A second car has a daily fee of $19 and a charge of $0.23 per mile. How many miles must be driven for the the price of the rentals to be the same?​

Answers

Answer 7.92

first add 27 in 0.15 then your total will be 27.15

please help ASAP!!! (75 points!!!)

Answers

Answer:

Image its not loading my man, try to re-upload it

Step-by-step explanation:

You find a pair of jeans on a clearance rack that originally cost $64. They were marked down 50%. The clearance price sign says an additional 50% off. Johnny says that you do not need to pay anything for the jeans. Do you agree? Why or Why not? Make sure that your answer is given with at least four sentences.

Answers

Answer and explanation:

Original cost of jeans =$64

Markdown by 50%= 0.50*64= $32

Additional discount by clearance sign 50% =0.50*32= $16

Therefore I disagree with Johnny. First the original price $64 was reduced by half of the price 50% of $64 =$32. Secondly the new price $32 is then also reduced by half of it 50% giving us $16. Therefore the discounts did not wipe off all the price as suggested by Johnny.

Can anybody help me please with question 1 please and thank you .I would really appreciate it so much. Please

Answers

Answer:

1. and 2. Reason) Given

3. Statement) Angle ABD is congruent to CBD

4.) BD is congruent to BD

5.) ΔDAB is congruent to ΔDCB due to SAS

Solve for m.

5m+72=−2m+52

Drag and drop the answer into the box.

A. -1
B. -1/7
C.6/7
D.7

Answers

Answer: I tried it and my answer was not an option, I got -1/3 sorry

Step-by-step explanation:

I got -20/7. I am sorry .

Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and and 3 m subtracted
from its width, the resulting rectangle has an area of 600 m². Find the dimensions of the new rectangle.

Answers

Answer:

Step-by-step explanation:

Original rectangle

L = 2*w

w = w

New rectangle

2w + 4

w - 3

Area New rectangle

(2w + 4)(w - 3) = 600               Remove the brackets

2w^2 - 6w + 4w - 12 = 600     Combine the left

2w^2 - 2w -  12 = 600             Subtract 600 from both sides

2w^2 - 2w - 600 - 12 = 0        Combine

2w^2 - 2w - 612 = 0                This factors.

(w- 18)(w + 17) = 0

w +  17 will produce nothing useful. What is - 17 m ? Can you measure it?

w = 18

check

Original Triangle

w = 18

L = 36

Derived Triangle

L = 36 + 4 = 40

w = 18 - 3 = 15

LW = 600

Answer

L = 40W = 15

DO THIS FACTORISATION WITH STEPS!!! 4ax-3bx-8ay+6by

Answers

Step-by-step explanation:

x•(4a-3b)-2y•(4a-3b)

(x-2y)•(4a-3b)

Answer:

Step-by-step explanation:

4ax-3bx-8ay+6by

4ax-x-3bx-x-8ay+6by

4a-3b-2x-8ay+6by

4a-3b-2x-8ay+6by

4a-3b-b-2x-8ay+6b-by

4a-4b-2x-8ay+6y

4a+a-4b-2x-8a+ay+6y

5a-4b-2x-8y+6y

5a-4b-2x-2y

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