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
119 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)
What is the length of the median of a triangle, given the lengths of its two sides are 3 and 4 units?
+
Math question: What is the smallest value of n that satisfies the equation a^n + b^n = c^n, where a, b, c, and n are positive integers, in line with Fermat's Theorem?
+
What is the solution to the inequality 3x + 8 > 22?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
(2b) to the 1/4th power. Write the expression in radical form.
2.3/-71.32
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
How much does the average college student spend on food per month? A random sample of 50 college students showed a sample mean $670 with a standard deviation $80. Obtain the 95% confidence interval for the amount college students spend on food per month.
3+7
Two minus log 3X equals log (X over 12)
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
Find the vertex F(x)=x^2-10x
Calculate the area of the parallelogram with adjacent vertices (1,4, −2), (−3,1,6) 𝑦 (1, −2,3)
A company dedicated to the manufacture of shirts sells the units at a price of $40, the cost of each shirt is $24, a commission is paid for the sale of a unit of shirt of $2 and its fixed costs are $3500 Determine the marginal contribution
In an economy with C= 10+0.8 Yd ; I= 20+0.1Y ; G= 100 ; X= 20 ; M=10+0.2Y ; T=-10+0.2Y and R= 10, when knew that Yd= Y-T+R. How much is the budget? A. -23.18 B. -28.13 C. -13.28 D. -32.18
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
A block slides across the floor with a force of 20N, which has an angle of 30°. The mass of the block is 2kg and the coefficient of friction is 0.1. Calculate the value of all the forces involved in this system and finally the value of the acceleration.
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x ∈ Df). Determine a function ƒ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dm². Show that this function f has neither a local maximum nor a global maximum
(3b)⋅(5b^2)⋅(6b^3)