Question

A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?

110

likes
551 views

Answer to a math question A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?

Expert avatar
Nash
4.9
87 Answers
Solución: Sea x el número de horas necesarias para trabajar. La tasa de ventas es de $100 por 1,5 horas y la comisión es igual al 10% de las ventas totales. Por lo tanto, la comisión total por x número de horas es igual al 10% de la tasa de ventas multiplicada por x, o \frac{\$100}{1.5h}\cdot10%\cdot x que, simplificado, es igual a \frac{20}{3}x El salario mensual objetivo es igual al salario base más la comisión mensual total, que es igual a 600+\frac{20}{3}x=2000 Resolver x, \frac{20}{3 }x=1400 x=1400\times\frac{3}{20} x=210h Por lo tanto, el vendedor necesita trabajar un promedio de 210 horas cada mes para que los ingresos sean de $2000. Respuesta: 210 horas

Frequently asked questions (FAQs)
Question: What is the area of a rectangle with length 10 cm and width 5 cm, if the perimeter is equal to the circumference of a circle with radius 7 cm?
+
Math question: What is the absolute maximum value of the function f(x) = x^3 - 6x^2 + 9x - 2 over the interval [-2, 4]?
+
What is the criteria for the signs of equality in triangles?
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
For a temperature range between 177 degrees Celsius to 213 degrees Celsius, what is the temperature range in degrees Fahrenheit.
Given that y = ×(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.
7273736363-8
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
Director of reservations believes that 9% of the ticketed passengers are no-shows. If the directors right what is the probability that the proportion of no-shows in a sample of 789 ticketed passengers with differ from the population proportion buy more than 3% round your answer to four decimal places.
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …
Find the derivatives for y=X+1/X-1
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
P(Z<z)=0.1003
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]
You buy a $475,000 house and put 15% down. If you take a 20 year amortization and the rate is 2.34%, what would the monthly payment be?
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
Write the inequality in the form of a<x<b. |x| < c^2
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.
2.3 X 0.8
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter