Question

A person purchases a certain product by paying 8 successive monthly installments of $3,400.00 each, paying the first 5 months after the purchase. What is the cash price of the product, if an interest rate of 4% is being charged bi-monthly, capitalized each month? How much is paid each month?

144

likes
718 views

Answer to a math question A person purchases a certain product by paying 8 successive monthly installments of $3,400.00 each, paying the first 5 months after the purchase. What is the cash price of the product, if an interest rate of 4% is being charged bi-monthly, capitalized each month? How much is paid each month?

Expert avatar
Adonis
4.4
106 Answers
P = 3400
r = \frac{0.04}{12}
n = 8

Step 1: Calculate the present value (cash price) using the annuity due formula:
PV = 3400 \times \frac{1 - (1 + \frac{0.04}{12})^{-8}}{\frac{0.04}{12}}

Step 2: Calculate \( (1 + \frac{0.04}{12})^{-8} \):
(1 + \frac{0.04}{12})^{-8} \approx 0.969198

Step 3: Plug in the value:
PV = 3400 \times \frac{1 - 0.969198}{0.003333}
PV = 3400 \times \frac{0.030802}{0.003333}
PV \approx 3400 \times 9.240
PV \approx 31,464

Step 4: Monthly payment is given as:
\text{Monthly Payment} = 3400

Final Result:
PV \approx 31,464.00
\text{Monthly Payment} = 3400.00

Frequently asked questions (FAQs)
Question: What is the integral of ∫ ( e^x + cos(x) + 3x^2 ) dx over the interval [0, 1]?
+
Math question: What is the largest possible value of the function f(x) = x^3 - 6x^2 + 9x - 2 on the closed interval [0, 4]?
+
Math Question: Find the absolute extrema of f(x) = x^3 - 6x^2 + 9x on the interval [0, 4].
+
New questions in Mathematics
12-6x=4x+2
calculate the following vector based on its base vectors a= -18i,26j
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality
Use the elimination to find the solution to each linear system. X+y=43 2x-y=20
A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36
4x + 8y = 5 2x + 4y = 10
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
28 is 92 percent of what?
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
Determine the reduced form of the slope equation equal to 2
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Calculate the pH of a solution obtained by mixing 100ml of 0.2M HCl with 100ml of 0.1M NaOH
y′ = 2x + 3y x′ = 7x − 4y x(0) = 2 y(0) = −1 sisteminin ¸c¨oz¨um¨un¨u bulunuz. (Lineer Denk. Sis.)