Question

Find the present value if the money is compounded as indicated below: $11,820.77 at 6.8% compounded annually for 8 years Select the correct answer below: $9677.13 $6983.54 $11820.13 $9156.54 $7683.18 Assume a 360 day year, find the simple interest of the scenario below: $9156.54 at 3.8% for 54 days Select the correct answer below: $50.79 $25.63 $70.69 $24.63 $52.19 The cost of producing x boxes of water is C(x) dollars, where C(x)=600x+2000. The water sells for $800 per boxes. What is the break-even quantity? Select the correct answer below: 5 10 15 20 25 Suppose that the demand and price for lemons are related by p=D(q)=5.0.25q. Where p is the price (in dollars) and q is the quantity demanded (in hundreds of quarts). Find the price of the level of demand is 600 quarts. Select the correct answer below: −1/4 1/2 8 1 4

Answer 1

The present value of $11,820.77 compounded annually at 6.8% for 8 years is approximately $6,983.54. The simple interest on $9,156.54 at 3.8% for 54 days is approximately $25.63. The break-even quantity for the cost of producing x boxes of water is 10. The price of lemons when the demand is 600 quarts is $1.

Step-by-step explanation:

To find the present value of $11,820.77 compounded annually at 6.8% for 8 years, we can use the formula for compound interest:

Present Value = Principal / (1 + r/n)^(nt)

Plugging in the values, we get:

Present Value = 11,820.77 / (1 + 0.068/1)^(1*8)

Calculating this gives us a present value of approximately $6,983.54.

For the simple interest scenario, we can use the formula:

Interest = Principal * Rate * Time

Plugging in the values, we get:

Interest = 9,156.54 * 0.038 * 54/360

Calculating this gives us an interest of approximately $25.63.

The break-even quantity can be found by setting the cost equal to the selling price and solving for x:

600x + 2000 = 800x

Simplifying this equation gives us:

200x = 2000

Dividing both sides by 200, we get:

x = 10

Finally, to find the price of lemons when the demand is 600 quarts, we substitute q = 600 into the demand equation:

p = 5 - 0.25(600)

Calculating this gives us a price of $1.