1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka57 [31]
3 years ago
8

Finding Account Balances In Exercise,complete the table to determine the table A for P dollars invested at rate r for t years,co

mpounded n times per year .see Example 3.
n 1 2 4 12 365 continuous compounding
A
p = $1000,r = 4%,t = 20 years
Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

n = 1, A = $2,191.12

n = 2, A = $2,208.04

n = 4, A = $2216.71

n = 12, A = $2222.58

n = 365, A = $2225.44

Compound continuously, A = $2,225.54

Step-by-step explanation:

We are given the following in the question:

P = $1000

r = 4% = 0.04

t = 20 years

Formula:

The compound interest is given by

A = P\bigg(1 + \displaystyle\frac{r}{n}\bigg)^{nt}

where P is the principal, r is the interest rate, t is the time, n is the nature of compound interest and A is the final amount.

For n = 1

A = 1000\bigg(1 + \displaystyle\frac{0.04}{1}\bigg)^{20}\\\\A = \$2,191.12

For n = 2

A = 1000\bigg(1 + \displaystyle\frac{0.04}{2}\bigg)^{40}\\\\A = \$2,208.04

For n = 4

A = 1000\bigg(1 + \displaystyle\frac{0.04}{4}\bigg)^{80}\\\\A = \$2216.71

For n = 12

A = 1000\bigg(1 + \displaystyle\frac{0.04}{12}\bigg)^{240}\\\\A = \$2222.58

For n = 365

A = 1000\bigg(1 + \displaystyle\frac{0.04}{365}\bigg)^{7300}\\\\A = \$2225.44

Compounded continuously:

A = Pe^{rt}\\A = 1000e^{0.04\times 20}\\A = $2,225.54

You might be interested in
Estimate how much 10.25 and 30.5
Elza [17]
I don't really get what you are asking for. Can you clarify it?
5 0
3 years ago
Read 2 more answers
The circumference of a circle is equal to n times its diameter. Estimate the circumference of a round swimming pool that has a d
sdas [7]

Answer:  An estimate done quickly: The circumference is about 75 ft.

Step-by-step explanation:

Round π to 3, and 24 to 25.  3 times 25 is 75

A more exact value would be 75.36

3.14 × 24 = 75.36

5 0
2 years ago
What is the midpoint between 3.99 and 4
asambeis [7]

Answer:  

3.995

Step-by-step explanation:

A midpoint is defined as a point that is exactly in the middle between two other points. The midpoint between two numbers is the number exactly in the middle of the two numbers. Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two.

6 0
2 years ago
A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis. Which steps should be used t
sdas [7]

Answer:

see the explanation

Step-by-step explanation:

we have

y-4=\frac{1}{3}(x+2)

This is the equation of a line in point slope form

where

the point is (-2,4)

the slope is m=1/3

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

To graph the line

1. Plot the point (–2,4).

2. From that point, count left 3 units and down 1 unit and plot a second point.

3. Draw a line through the two points

3 0
3 years ago
Read 2 more answers
Jaz was 43 inches tall. Eighteen months later she was 52 inches tall. Find the constant rate of change of jaz's height
notka56 [123]

Answer:

.5 inches a month


Step-by-step explanation:

52 - 43 = 9 inches


9/18 = .5



8 0
3 years ago
Read 2 more answers
Other questions:
  • The range of the function given below is the set of all positive real numbers greater than 6. F(x)=6+2^x
    7·1 answer
  • What is an equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point 4,-6
    7·2 answers
  • SOS!!
    13·1 answer
  • Area addition and subtraction
    8·1 answer
  • Which expression is equivalent to |x| < 11?
    14·2 answers
  • 4 QUESTIONS FOR 50 POINTS!!!!!! PLEASE HELP!!
    7·1 answer
  • Find the 8th term of the geometric sequence 4 , − 20 , 100
    6·1 answer
  • A robot can complete 4 tasks in 5/6
    9·1 answer
  • Please please help me !!
    12·1 answer
  • Round off 1,246,193 to the nearest thousands​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!