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Alborosie
3 years ago
9

How much would $500 invested at 9% interest compounded continuously be worth after 4 years? Round your answer to the nearest cen

t.
Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

 =705.79

Step-by-step explanation:

F=P(1+i)n  where F is the Future amount P is the Present amount/Capital i is the interest rate n is the number of periods.

In this case you have the given as follows:

    P = $500 i = 9% n = 4 years

Substituting the values to the formula you'll have:

F=500(1+0.09)^4

 <u>=705.79</u>

You might be interested in
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
jolli1 [7]

Answer:

  • 30 adult tickets,
  • 50 kids tickets

Step-by-step explanation:

<u>Given</u>

  • Cost of adult ticket = $8.50
  • Cost of kids ticket = $7.00
  • Number of tickets = 80
  • Total cost = $605

Let the adult ticket be a and kids be k

<u>We got equations</u>

  • a + k = 80
  • 8.5a + 7k = 605

<u>From the first equation we get</u>

  • k = 80 -a

<u>Substituting k in the second equation</u>

  • 8.5a + 7(80 - a) = 605
  • 8.5a - 7a + 560= 605
  • 1.5a = 45
  • a = 45/1.5
  • a = 30

<u>Then finding k</u>

  • k = 80 - 30 = 50

8 0
4 years ago
Find the length of HD
mel-nik [20]

Answer:

11 units

Step-by-step explanation:

HPO and DPI are similar triangles

HP/DP = PO/PI

HP/9 = 6/27

HP = 9×6/27

HP = 2

HD = HP + PD

HD = 2 + 9 = 11

7 0
3 years ago
X/-3-41=-11 show work please
Brilliant_brown [7]

The correct answer is x = -90.

To find this, solve using the order of operations. See the example below.

x/-3 - 41 = -11 ----> Add 41 to both sides

x/-3 = 30 ----> Multiply each side by -3

x = -90

4 0
4 years ago
Darius and Matthew have three fruit bars. They are both hungry after playing football and decide to split the fruit bars evenly.
IgorC [24]
They each get one whole one and then half of one.
4 0
3 years ago
Ralph pays his workers $100 each, and labor is the only variable cost. At a quantity of 2000 chickens, how many workers does he
pshichka [43]

Ralph hires 8 workers

What is variable cost ?

Variable costs are expenses that alter as the volume of a good or service a company produces fluctuates. Marginal costs multiplied by the number of units produced make up variable costs. They can be regarded as typical expenses as well. Total cost is divided into two parts: fixed costs and variable costs.

Workers paid = $100

Assuming $1600 is given as a Total cost for the 2000 quantity for chicken and Fixed cost is $800

Total cost = $1600 out of which $800 is the fixed cost

Variable cost =  Total cost - Fixed cost

                      = 1600 - 800

                      = 800

Numbers of workers hired = Variable cost / Workers pay

Numbers of workers hired = 800 / 100

Numbers of workers hired = 8

Therefore, the number of workers that Ralph hires is 8 workers

To learn more about variable cost from the given link  

brainly.com/question/14313017

#SPJ4

6 0
1 year ago
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