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
pickupchik [31]
3 years ago
11

How do you compound interest continuously??

Mathematics
1 answer:
Mkey [24]3 years ago
7 0
The question states the interest is compounded annually. We have to use the given formula for this.

Principal Amount = P = $500
Interest Rate = r = 6% = 0.06
Time in years = t = 12
Compounding periods in a year = n = 1

Using the values in the given formula we get:

A(t)=500(1+ \frac{0.06}{1})^{12*1} \\  \\ 
A(t)=$1006.10

Thus, rounding to nearest cent the answer to this question is 1006.10

However, if you are also interested in finding the compound interest that is compounded continuously, use the following formula:

A(t)=Pe^{rt}
You might be interested in
What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2
klio [65]

y =  - 2x + 53x - 4y = 2 \\  y  = 51x - 4y = 2 \\  > y = 51 x - 4y \\  > 51x - 4y = 2
y = 51x - 4y \\ 5y = 51x \\ y =  \frac{51}{5} x
Substitute 51/5x into
51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times  \frac{10}{102}  \\ x =  \frac{10}{51}  \: aka \: 0.196
Substitute that into
y =  \frac{51}{5}  \times  \frac{10}{51}  \\ y = 2
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.
8 0
3 years ago
Please help asap 20 pts
kherson [118]

It is associative property

8 0
3 years ago
−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it
Ivahew [28]

Answer:

-45x^{2}-26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

  1. Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45x^{2} and -9x*4 = -36x
  2. Step two: Put the answers together. That would leave us with -45x^{2}-36x.

Part two 10(x+3)

  1. Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
  2. Step two: Put the answers together. That would leave us with 10x+30

Part three solve

  1. Step one: combine and put together what you have solved for. That would leave us with a -45x^{2}-36x+ 10x+30
  2. Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
  3. Step three: Write the equation in standard form. Therefore the answer is -45x^{2}-26x+30.

Let me know if anything is confusing!

5 0
2 years ago
Question 18 of 25
Pani-rosa [81]

Step-by-step explanation:

ajhwvsvsbsjsnnwnwnwnwnnnnnnn<em>r</em><em>q</em><em>r</em><em>q</em><em>r</em><em>r</em><em>q</em><em>r</em><em>w</em>

bsvsbwvqcfsgfafautaufayrayystacayfsugs7y7ay7auq

7 0
3 years ago
Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to
Brrunno [24]
Part A:

Given that <span>a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months

The total installment price is given by

P=\$8.50+\$11(24) \\  \\ =\$8.50+\$264=\$272.50



Part B:

The carrying charges is given by the total installation price minus the cash price.

From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.

Therefore, the carrying charges is given by

$272.50 - $200.00 = $72.00



Part C:

If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by

\frac{\$200}{\$11} =18.18\, months

Therefore, it will take 19 months </span><span>to save the money at the monthly rate needed to buy the item for its cash price.</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an ob
    11·1 answer
  • Help me with graphing pls
    14·1 answer
  • Which expression is equivalent to (3x-5y)+(x+2y)<br><br> A.4x-7y<br> B.4x-3y<br> C.4x+3y<br> D.4x7y
    15·2 answers
  • Whats the answer to this question
    10·1 answer
  • 18 miles to 18 yards to a fraction do i divided ?
    10·2 answers
  • Help with this word problem???? :)
    6·1 answer
  • Order the following numbers from LEAST TO GREATESTI!<br> 16+ 4<br> = 2.5<br> 7-8)<br> = 21
    5·1 answer
  • Simplify it plzzzzz and thx
    9·1 answer
  • Evaluate the expression 8+-9​
    9·2 answers
  • The measure of c is _____?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!