Question

Marta Alicia will buy new industrial equipment for her business. The value of It is Q 250,000 of which you will pay 20% in cash and the rest will be financed for 5 years through monthly payments at a rate of 12% annually compounded monthly. What is the value of the monthly payments?

80

likes
400 views

Answer to a math question Marta Alicia will buy new industrial equipment for her business. The value of It is Q 250,000 of which you will pay 20% in cash and the rest will be financed for 5 years through monthly payments at a rate of 12% annually compounded monthly. What is the value of the monthly payments?

Expert avatar
Jon
4.6
110 Answers
To calculate the value of the monthly payments, we first find the monthly interest rate, the present value of the loan, and the total number of payments:

Given:
- Total value of the equipment, Q = \$250,000
- Down payment = 20\% of Q
- Annual interest rate = 12\% or 0.12 as a decimal
- Loan term = 5 years or 60 months

1. Monthly interest rate, r = \frac{0.12}{12} = 0.01
2. Amount financed, PV = Q - \text{Down payment}
= 250,000 - (0.20 \times 250,000) = 250,000 - 50,000 = \$200,000
3. Total number of payments, n = 5 \times 12 = 60

Now, we can use the formula for an amortizing loan:

P = \frac{rPV}{1 - (1 + r)^{-n}}
P = \frac{0.01 \times 200,000}{1 - (1 + 0.01)^{-60}}
P = \frac{2,000}{1 - 1.01^{-60}}
P = \frac{2,000}{1 - 0.54703}
P = \frac{2,000}{0.45297}
P \approx \$4,448.89

Therefore, the value of the monthly payments Marta Alicia would have to make for the industrial equipment is approximately \$4,448.89.

\boxed{\text{Answer: \$4,448.89}}

Frequently asked questions (FAQs)
Math Question: What is the derivative of the function f(x) = 3x^2 + 2x - 1?
+
Math Question: What is the smallest value of the function f(x) = x^3 - 2x^2 + 4x - 1 in the interval [0, 3]?
+
What is the product of (a + b) and (a - b)?
+
New questions in Mathematics
5(4x+3)=75
A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
3(4Γ—-1)-2(Γ—+3)=7(Γ—-1)+2
A company is wondering whether to invest Β£18,000 in a project which would make extra profits of Β£10,009 in the first year, Β£8,000 in the second year and Β£6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.
A brass cube with an edge of 3 cm at 40 Β°C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
B - (-4)=10
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
Estimate the fifth term if the first term is 8 and the common ratio is -1/2
15/5+7-5
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
viii. An ac circuit with a 80 ΞΌF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle ΞΈ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately β€˜scaled’ voltage phasor diagram.
94 divided by 8.75
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 Ζ’ (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 dmΒ². Show that this function f has neither a local maximum nor a global maximum
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
The domain of the function f(x)=x+7x2βˆ’144 is (βˆ’βˆž,), ( ,), and ( , ∞).