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: Find the derivative of f(x) = 3x^2 + 5x + 2.
+
What is the equation of the exponential function that passes through (0,1) and (2,16)?
+
Question: If 40% of a number is 120, what is the number?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
-6n+5=-13
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.
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
calculate the normal vector of line y = -0.75x + 3
What is the appropriate measurement for the weight of an African elephant?
A box contains 18 blue balls and 33 white balls. What is the ratio of the blue to white balls?
A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Calculate the difference between 407 and 27
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
(6²-14)÷11•(-3)
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
write in set builder notation { 1,3,9,27,81,243,...}
Define excel and why we use it?
g(x)=3(x+8). What is the value of g(12)
In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator. The accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper "Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments."† (Round your answers to four decimal places.) 1,018 1,007 1,054 988 937 1,030 1,065 1,011 860 1,106 A button hyperlink to the SALT program that reads: Use SALT. Calculate the variance for this data set. 7437.7333 Incorrect: Your answer is incorrect. Calculate the standard deviation for this data set. 86.2022 Incorrect: Your answer is incorrect.
(3b)⋅(5b^2)⋅(6b^3)
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.