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 measure of the third angle in an isosceles triangle if the other two angles measure 40Β° each?
+
Question: Calculate the square root of 345,676, excluding decimals.
+
What is the result of multiplying 57 by 3, then subtracting 12, dividing the answer by 4, and finally adding 8?
+
New questions in Mathematics
Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.
2+2
90 divided by 40
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would be less than 121 months? Round your answer to four decimal places
Convert 78 percent to a decimal
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
RaΓΊl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (RaΓΊl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ΒΎ%. Perform operations and order events from least to most probable.
TEST 123123+1236ttttt
cube root of 56
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
Two particles of electrical charges Q1=3.8Γ—10-⁢C and q,=4.4Γ—10-⁢C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.mΒ²/CΒ², the intensity of the interaction force between them, in newtons, is?
Below are three 95% CIs (where 𝜎 was known and π‘₯Μ…happened to be the same); one with sample size 30, one with samplesize 40, and one with sample size 50. Which is which?(66.2, 76.2)(61.2, 81.2)(56.2, 86.2)
Evaluate ab+dc if a=56 , b=βˆ’34 , c=0.4 , and d=12 . Write in simplest form.
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
2.3 X 0.8
6(k-7) -2=5
Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.