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)
What are the characteristics of the quadratic function f(x) = x^2? Identify the vertex, axis of symmetry, and whether it opens upward or downward. Does it have a maximum or minimum value? Does the graph intersect the x-axis or y-axis?
+
What is the probability of selecting a red marble from a bag containing 5 red marbles, 3 blue marbles, and 2 green marbles?
+
What is the formula for calculating the standard deviation of a sample size, given the sum of squares of deviations from the mean?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
-8+3/5
Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.
what is 456456446+24566457
Clara usually walks briskly to the farmers' market and it takes her 22 minutes. Today she walked leisurely and it took 61/2 minutes. How much more time than usual did she take to reach the market today?
X³-27
What is 75 percent less than 60
-1%2F2x-4%3D18
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
In a physics degree course, there is an average dropout of 17 students in the first semester. What is the probability that the number of dropouts in the first semester in a randomly selected year has between 13 and 16 students?
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
Find the zero of the linear function 8x + 24 = 0
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
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.
8/9 divided by 10/6
9n + 7(-8 + 4k) use k=2 and n=3