Question

Which of the following reward options is best in an employee's interests? a) Receive now $7,700. b) Receive $4,000 now and another $4,000 in two months. c) Receive three payments of $2,800 each in 30, 60 and 90 days

140

likes
700 views

Answer to a math question Which of the following reward options is best in an employee's interests? a) Receive now $7,700. b) Receive $4,000 now and another $4,000 in two months. c) Receive three payments of $2,800 each in 30, 60 and 90 days

Expert avatar
Sigrid
4.5
120 Answers
To determine the best option for the employee, we need to compare the values of each option in terms of present value.

Let's assume the monthly interest rate is r.
For option a):
Present value = $7,700

For option b):
Present value = $4,000 + \frac{4,000}{(1+r)^2}

For option c):
Present value = \frac{2,800}{(1+r)^1} + \frac{2,800}{(1+r)^2} + \frac{2,800}{(1+r)^3}

To determine the value of r, we can compare options b) and c) using the present value calculations.

4,000 + \frac{4,000}{(1+r)^2} = \frac{2,800}{(1+r)^1} + \frac{2,800}{(1+r)^2} + \frac{2,800}{(1+r)^3}

Solving the equation will give us the monthly interest rate r. Once we have the interest rate, we can find the present value for each option and determine which option has the highest present value.

r \approx 0.0292

Calculating the present values:
For option a): $7,700
For option b): $8,108.57
For option c): $8,456.41

Therefore, the best reward option for the employee's interest is option c) to receive three payments of $2,800 each in 30, 60, and 90 days as it has the highest present value.

\boxed{\text{Answer: Option c)}}

Frequently asked questions (FAQs)
Question: What is the factored form of the quadratic equation x² + 5x + 6?
+
Math Question: Find the absolute extrema of the function f(x) = x^3 - 6x^2 + 9x - 2 on the interval [-1, 4].
+
What is the length of the side adjacent to an angle of 45° when the hypotenuse is 10 units?
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
10! - 8! =
8x-(5-x)
7273736363-8
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
-0.15/32.6
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
4x + 8y = 5 2x + 4y = 10
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
P(Z<z)=0.1003
A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of
9 x² + 2x + 1 = 0
Show work on 4108 divided by 4
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
How many cards do you expect to pull from a poker deck until you get an ACE?
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.