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Ainat [17]
3 years ago
15

Big Dom’s Pawn Shop charges an interest rate of 27 percent per month on loans to its customers. Like all lenders, Big Dom must r

eport an APR to consumers. a. What rate should the shop report? b. What is the effective annual rate? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Business
1 answer:
Bad White [126]3 years ago
7 0

Answer:

a. 324%

b. 16.61%

Explanation:

a. The computation of the APR is the annual rate of interest which is shown below:

= Interest per month × number of months in a year

= 27% × 12 months

= 324%

b. And, the  effective annual rate would be

=  (1 + interest rate per month) ^ Number of months in a year - 1

= (1 + 27%) ^ 12 -1

= 1.27 ^ 12 -1

= 17.6053 - 1

= 16.61%

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Suppose the cost per hour incurred in operating a cruise ship is 3a + bv3 dollars per hour, where a and b are positive constants
Airida [17]

Answer:

Suppose the cost per hour incurred in operating a cruise ship is 3a + b v^{2}dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)

<em>The speed at which the ship would maximize cost is </em>\sqrt[3]{\frac{3a}{2b} }

Explanation:

The problem can be solved using differentiation to get the minimum value of the speed to travel between the two ports. Step by step calculation is contained in the attached images;

3 0
3 years ago
A corporation makes an investment of $20,000 that will provide the following cash flows after the corresponding amounts of time:
s344n2d4d5 [400]

A) The company should not invest in the provided project due to the negative NPV of the project.

B) The NPV of the project comes out to be (286).

<h3>What is NPV?</h3>

NPV is an abbreviated form of Net present value and computed by deducting the cash outflows from cash inflows at the present value.

Given values:

Cash flow of year 1: $10,000

Cash flow of year 2: $10,000

Cash flow of year 3: $2,000

Cash outflow (cost of investment) =$20,000

Step-1 Computation of PV of cash inflows of every year:

PV of year 1 = Cash inflow of year 1 / (1+ interest rate)^ 1

                    = $10,000 / (1+0.07) ^ 1

                    = $10,000 X 0.934579

                    = $9,346

PV of year 2 = Cash inflow of year 1 / (1+ interest rate)^ 2

                    = $10,000 / (1+0.07) ^ 2

                    = $10,000 X 0.873438

                    = $8,735

PV of year 3= Cash inflow of year 1 / (1+ interest rate)^ 3

                   = $2,000 / (1+0.07) ^ 2

                    = $2,000 X 0.816297

                    =$1,633

Step-2 Computation of total amount of PV of cash inflows:

\rm\ PV \rm\ of \rm\ cash \rm\ inflows = \rm\ PV \rm\  of \rm\  year \rm\  1 + \rm\  PV \rm\ of \rm\ year \rm\ 2 + \rm\ PV \rm\ of \rm\ year \rm\ 3\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\$9,346 + \$8,735 + \$1,633\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\$19,714

Step-3 Computation of NPV:

\rm\ NPV=\rm\ PV \rm\ of \rm\ cash \rm\ inflows- \rm\ Cost \rm\ of \rm\ investment\\\rm\ NPV=\$19,714-\$20,000\\\rm\ NPV=\$ (286)

Therefore, the NPV comes out to be a negative amount of 286, and hence, the company should not accept the project.

Learn more about the net present value in the related link:

brainly.com/question/14015430

#SPJ1

5 0
2 years ago
How do consumers take part in the resource market?
Andrew [12]

Simple answer....too break it down if there was no consumers there would be Stores open.

Definition of consumer is a person who purchases goods and services for personal use.

7 0
3 years ago
6. What do you pay for a twelve-ounce can? What are the real social costs of producing a can of Coke – in terms of water, power
VladimirAG [237]

Answer and Explanation:

To pay for a twelve ounce can it costs between 50 cents to a dollar. The social costs of producing a can coke, in which 9 liters of fresh water is used which effects fresh water supply on earth due to its contamination. The cost of making coke :costs more higher, where it has to maintain its employees, buildings, its road transportation, garbage disposal, and many more. People who are living near the coke plant building pays all these costs, and all people pays a equal part as it is taking from earth.

4 0
3 years ago
A stock paid $2.64 in dividends at the end of last year and is expected to pay a cash dividend
Sindrei [870]

Answer:

$117.26

Explanation:

Easy.

4 0
3 years ago
Read 2 more answers
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