MathMaster logo

MathMaster

  1. Home
  2. general
  3. lashonda bought a desktop computer and a laptop without finance charges the laptop cost 350 more than the desktop she paid
Question

Lashonda bought a desktop computer and a laptop. Without finance charges, the laptop cost $350 more than the desktop. She paid for the computers with two different financing plans. The annual interest rate on the desktop computer was 6.5%, and on the laptop it was 9%. The annual finance charges were $388 total. How much did each computer cost without finance charges?

50

likes
250 views

Answer to a math question Lashonda bought a desktop computer and a laptop. Without finance charges, the laptop cost $350 more than the desktop. She paid for the computers with two different financing plans. The annual interest rate on the desktop computer was 6.5%, and on the laptop it was 9%. The annual finance charges were $388 total. How much did each computer cost without finance charges?

Expert avatar
Dexter
4.7
114 Answers
Denotemos el costo de la computadora de escritorio sin cargos financieros como D y el costo de la computadora portátil como L. Según la información proporcionada: 1. La computadora portátil cuesta $350 más que la computadora de escritorio, por lo que L = D + 350. 2. La tasa de interés anual para la computadora de escritorio fue del 6,5% y para la computadora portátil, del 9%. Los cargos financieros anuales totales fueron $388: 0,065D + 0,09L = 388. Ahora, podemos sustituir la expresión de L de la primera ecuación en la segunda ecuación: 0,065D + 0,09(D + 350) = 388. Ahora resuelve para D: 0,065D + 0,09D + 31,5 = 388 0,155D + 31,5 = 388 0,155D = 356,5 D = 356,5/0,155 Ahora calcula el valor de D: D ≈ 2300. Entonces, el costo de la computadora de escritorio sin cargos financieros es de aproximadamente $2300. Ahora, usa este valor para encontrar el costo de la computadora portátil: L = D + 350 L = 2300 + 350 L = 2650. Por lo tanto, el costo de la computadora de escritorio sin cargos financieros es $2300 y el costo de la computadora portátil sin cargos financieros es $2650.

Frequently asked questions (FAQs)
Math Question: In a triangle, angle A measures 50 degrees, side a has a length of 7, and side b has a length of 9. Find the measure of angle B using the Sine Law.
+
What is the probability of flipping a fair coin and rolling a standard six-sided die to get heads and a prime number, respectively?
+
What is the value of f(2) for the exponential function f(x) = 10^x compared to f(2) for f(x) = e^x?
+
New questions in Mathematics
8x²-30x-10x²+70x=-30x+10x²-20x²
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?
4x-3y=5;x+2y=4
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?
solve for x 50x+ 120 (176-x)= 17340
6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.
If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
Calculate the difference between 407 and 27
36 cars of the same model that were sold in a dealership, and the number of days that each one remained in the dealership yard before being sold is determined. The sample average is 9.75 days, with a sample standard deviation of 2, 39 days. Construct a 95% confidence interval for the population mean number of days that a car remains on the dealership's forecourt
In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1
(6²-14)÷11•(-3)
25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
Arturo had hospitalization expenses of $8,300. Your policy for medical expenses Seniors have a deductible of $500 and expenses are paid at a 20% coinsurance. These are the first expenses ever this year, how much will Arturo have to pay in your bill for hospitalization expenses?
8(x+4) -4=4x-1
A grain silo has a height of 8.8m with a 11.4m diameter. If it is filled 0.5% of it's volume, how much grain (m^3) is stored in the silo? (0 decimal places)

You might be interested in