Question

Calculate the annual payments on a lease of $190,000 with a 6% monthly compounded interest rate if the residual value is $48,000 after six years. Round your answer to two decimal places.

240

likes
1199 views

Answer to a math question Calculate the annual payments on a lease of $190,000 with a 6% monthly compounded interest rate if the residual value is $48,000 after six years. Round your answer to two decimal places.

Expert avatar
Fred
4.4
113 Answers
P = 190,000

FV = 48,000

r = \frac{6\%}{12} = 0.005

n = 72

\frac{48,000}{{(1+0.005)^{72}}} = 33,552

190,000 - 33,552 = 156,448

1 - (1+0.005)^{-72} = 0.301

156,448 = \frac{{PMT \cdot 0.301}}{0.005}

156,448 = PMT \times 60.2

PMT = \frac{156,448}{60.2}

PMT \approx 2,598.17

PMT_{annual} = 2,598.17 \times 12 = 31,178.04

Answer:

31,178.04

Frequently asked questions (FAQs)
Math question: What is the result of dividing 3/5 by 7/8?
+
What is the sum of all the even numbers between 1 and 100, inclusive?
+
What are the roots of the quadratic equation y = 2x^2 + 3x - 4?
+
New questions in Mathematics
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?
8x²-30x-10x²+70x=-30x+10x²-20x²
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
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
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
Let X be a discrete random variable such that E(X)=3 and V(X)=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine E(Y).
Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45
To get to a hotel on the hill you have to travel 6 km of uphill road and every kilometer there are 6 sharp curves. Each of the sharp curves is marked by three traffic signs. How many traffic signs are there on the stretch of road that leads to the arbergi?
a) 6x − 5 > x + 20
How do you convert a fraction to a decimal
2+2020202
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.