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 domain of the trigonometric function f(x) = sin(x) - cos(x) in radians?
+
What is the product of square root of 9 and the sum of 5 and 7?
+
What is the period of the function f(x) = sin(3x) + cos(2x) ?
+
New questions in Mathematics
Pedro bought 9 kg of sugar at the price of R$1.80 per kilogram, six packets of coffee at the price of R$3.90 per packet and 8 kg of rice at the price of R$2.70 per kilogram. Knowing that he paid for the purchases with a R$100.00 bill, how much change did he receive?
431414-1*(11111-1)-4*(5*3)
I need .23 turned into a fraction
58+861-87
The graph of the equation xΒ²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of xΒ²=12y is a parabola with focus F(_,_) and a directrix y=_____
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
7/6-(-1/9)
2/3+5/6Γ—1/2
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
Find 2 numbers whose sum is 47 and whose subtraction is 13
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
Estimate the quotient for 3.24 Γ· 82
Convert 9/13 to a percent
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
P(Z<z)=0.1003
9.25=2pi r solve for r
Find the vertex F(x)=x^2-10x
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
2.3 X 0.8