Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Answers

Answer 1

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.


Related Questions

Pls help thanks :)

















123456789

Answers

Answer:

the answer is the last one

Step-by-step explanation:

i pick that answer because when u look at the graph it tell you it is less than cuz one number and the other number is lower than that number

a squares side are increased by five inches. Find the length of the original square if the perimeter of the new square is 100 inches. Length of side of original square: ______
inches

Answers

Answer:

The length of side of original square is: 20 inches

Step-by-step explanation:

Let x be the length of side of original square

Then x+5 will be the side of new square

Th formula for perimeter is:

[tex]P = 4*side[/tex]

As we know the perimeter of the new square we can use the perimeter to find the value of x

[tex]100 = 4 * (x+5)\\100 = 4x+20\\4x = 100-20\\4x = 80\\\frac{4x}{4} = \frac{80}{4}\\x = 20[/tex]

The value of x is 20 inches.

Hence,

The length of side of original square is: 20 inches

What is the Equation of this Trend line

K=_ J+_

Answers

Answer:so the standard form is y = mx + b

m is the slope (rise/run)

b is the y-intercept or where the slope intercepts the y-axis

so you end up with

k = (4/-2)j + 24

simplify this to

k = -2j + 24

Step-by-step explanation:

Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Answers

Answer:

[tex](f\circ g)(x)= x + 4[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

[tex](f\circ g)(x)=f(g(x))= - (-x -1) + 3[/tex]

Removing parentheses:

[tex](f\circ g)(x)= x + 1 + 3[/tex]

Simplifying:

[tex]\mathbf{(f\circ g)(x)= x + 4}[/tex]

if y is 20 when x is 5 find x when y is 60

Answers

Answer:

15

Step-by-step explanation:

If y is 20 when x is 5 then x is always 1/4 of y

60*(1/4)=15

The answer is 15. Because 20/5 = 4
So you do 60/4 = 15

Find the value of ​f(​3) for the function. f(3)=-5(x+5)

Answers

Answer:

Step-by-step explanation:

f(3)=-5(x+5)

     =5(3) +5

     =15+5

f(3)      =20

चुनाव आयोग के कार्यों को लिखिए।​

Answers

Answer:

भारत निर्वाचन आयोग (अंग्रेज़ी: Election Commission of India) एक स्वायत्त एवं अर्ध-न्यायिक संस्थान है जिसका गठन भारत में स्वतंत्र एवं निष्पक्ष रूप से विभिन्न से भारत के प्रातिनिधिक संस्थानों में प्रतिनिधि चुनने के लिए किया गया था। भारतीय चुनाव आयोग की स्थापना 25 जनवरी 1950 को की गयी थी।

help me I don't know which one it is ASAP​

Answers

Answer: It is credit discount.

Step-by-step explanation:

Answer:

Markup

Step-by-step explanation:

It is a markup because they use a markup to make profit. I hope this helps, :)

At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?

Answers

Answer:

177.78

Step-by-step: Let's solve your equation step-by-step.

9

5

=

320

x

Step 1: Cross-multiply.

9

5

=

320

x

9*x=(320)*(5)

9x=1600

Step 2: Divide both sides by 9.

9x

9

=

1600

divided by 9 which will give you 177.78

Fleece vests regularly priced at $15.99 are on sale for $12.99. If the sales tax is 5%, how much can you save by buying the vests on
sale?

A. 3.30
B. 3.00
C. 3.15
D. 3.20

Answers

The answer to your question it $3.15

An assignment of 82 pages of a novel was given out on Monday to be read on Friday. if the students read equal nʋmber of pages on Monday, tuesday ,Wednesday and ?Thursday evening how many pages should be read each evening​

Answers

Step-by-step explanation:

20 .5 i think its right answer

Write in slope-intercept form an equation of the line that passes through
the given points. (0, 1) (2, 4 )

Answers

slope intercept form: y = 1.5x + 1

In physics, the current (I), potential difference (V), and resistance ® of an electrical circuit are known to stand in the following relation. i=V/R Which of the following is the same equation solved for V?A. V=IR B. V= I(1-R) C. V=I/R D.V=R/I

Answers

Answer:

Step-by-step explanation:

The current that flows through most substances is directly proportional to the voltage V applied to it. The German physicist Georg Simon Ohm (1787–1854) was the first to demonstrate experimentally that the current in a metal wire is directly proportional to the voltage applied: I∝V I ∝ V .

2. What is the place value of the 5 in 3562? ​

Answers

Answer:

Hundreds Place

Step-by-step explanation:

The 5 is in the hundreds place.

Hope this helps :D

3 is the thousands place

5 is the hundreds place

6 is the tens place

2 is the ones place

You tell me the answer.

7. Lola buys a 1-liter bottle of olive oil. She puts half of the oil in the frying pan.
Then she puts of the remaining 1/4 of the oil in a mixing bowl. How much of a liter of oil is
left in the bottle? Illustrate your thinking and your solution.

Answers

Answer:

1/4 L

Step-by-step explanation:

You have one whole liter at first right, so you subtract the hald that you put on the frying pan. After, you subtract the 1/4 that you put in the mixing bowl.

1 - 1/2 = 1/2

1/2 -1/4 = 1/4

=1/4 Liters

Lance’s team made 16 out of the 25 free-throws they attempted. What percent of the free-throws did the team make?

Answers

Answer:

64%

Step-by-step explanation:

16/25

Answer:

64%

Step-by-step explanation:

if they made 16/25 free-throws, you would multiply each side by 4 in order to get 100% on the right side, and if you multiply 16 by 4 it is 64

the values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9

Answers

9514 1404 393

Answer:

  y = 9x

Step-by-step explanation:

If you like, you can start with the proportion ...

  x/y = 0.1/0.9

Multiplying by 9y gives ...

  9x = y

The equation you want is ...

  y = 9x

Fill in the table using this function rule.
y = 4+4x
X Y
2
3
4
10
Fill in the y area

Answers

12, 16, 20, 44

Just substitute the number on the x side of the table for x in the equation and solve to get the y value.

The completed table of Y values using the function rule y = 4 + 4x is as follows:

X     Y

2     12

3     16

4     20

10    44

To fill in the Y values using the function rule y = 4 + 4x, we substitute the given X values into the equation and solve for Y.

When the value of X = 2:

4 + 4(2) = 4 + 8 = 12

When the value of X = 3:

4 + 4(3) = 4 + 12 = 16

When the value of X = 4:

4 + 4(4) = 4 + 16 = 20

When the value of X = 10:

4 + 4(10) = 4 + 40 = 44

The completed table is as follows:

X     Y

2     12

3     16

4     20

10    44

Learn more about the Linear equations here:

https://brainly.com/question/13738061

#SPJ4

What is the value of ?
14 when z = 9?

Answers

Answer:

chicken nuggets

Step-by-step explanation:

cuz if u add then  

u g

Umm I don’t even know but you can get 5% off at geico

If a wedding ring is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ring was dropped. How far has the ring fallen after 5 seconds?

Answers

It would be 40 seconds.

Solve 7b = 91
Please answer

Answers

Answer:

13

Step-by-step explanation:

Divide both sides by 7 so the multiplication cancels out.

Answer:

To get b you’ll have to divide 91 by 7

b=91/7

b=13

Step-by-step explanation:

I hope it helped you, please give me brainliest

-0.8 + 40 - 8x - 35 can you please help with this pre algebra

Answers

-8x + 4.2 is the answer

Answer:4.2-8x

Step-by-step explanation:

-0.8-40-35=4.2 -8x

HELP ME WHICH ANSWER

Answers

Answer:

D

Step-by-step explanation:

30 : 13  = 30/13

Answer:

The answer is 13:30

Step-by-step explanation:

All you have to do is make sure that you put the ice skating fist because that is the one that the question mentioned first. Hope this helps :)

Can someone please help me out with this question?

Answers

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

Please help me it due today at 11:00pm please will mark the brainiest please

Answers

Answer:

d = 2.75 or 11/4

Step-by-step explanation:

15 = 5 + 4(2d - 3)

15 = 5 + 8d - 12

15 = 8d - 7

+7        + 7

22 = 8d

22/8 = d

2.75 = d

Check:

15 = 5 + 4(2(2.75) - 3)

Lease answer this 1-12 PLEASE I WOULD GET IN TROUBLE!!!!!! (MATH EASY) EXAMPLE:
1.
2.
3.
4.+

Answers

Answer:

Number 1 is 9

Step-by-step explanation:

2 1/2 x 3 is 9

Answer:

1=9

2=5

3=91/3

4=6

5=8

6=2 4/9

Si un número divisible entre 3 también es divisible entre 6

Answers

Answer:

es verdad pero 3 nomas puede ser dividido por 3 o 1

Step-by-step explanation:

Which one is bigger 7.4 or 7 2/5?

Answers

Answer:

None, They are Both Equal

Step-by-step explanation:

7 2/5 = 7.4

7.4 = 7.4

So, 7.4 = 7.4

Hence, none of them are bigger

Which is a unit rate?
StartFraction 4 dollars Over 3 cans EndFraction
StartFraction 5 students Over 2 teachers EndFraction
6 hours : 1 book
3 miles : 2 days

Answers

The answer is

6 hours : 1 book

Answer:

C

Step-by-step explanation:

100.6 + 296.5 using
mental math

Answers

Answer:397.1....i think

Step-by-step explanation:

Answer:

397.1

Step-by-step explanation:

I used mental math

swear no calculator or work done

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

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