Q and A for the topic: General

The marginal cost based on the units produced x is given by the function Cm(x)= 1064-0.005x. If the fixed cost is 16.3, find the total cost when 20 units are produced.

Solve the following indefinite integral: ∫▒(5x^4+e^(-3x)-2/x-1)dx

They offer to sell you a motorcycle on credit payable in 24 equal advance monthly installments of $200,000. If the effective monthly interest rate is 2.5%, and it is estimated that it will remain constant for the next 2 years. What is the cash price of the motorcycle?

calculate the solubility of Mg(OH)2 in a 0.0167M solution of Ba(NO3)2 using activities and molar concentration

1000 ml flask of 0.9% sodium chloride solution is to be slowed down from a 6 hourly rate to an 8 hourly rate what is the new rate in drops per minute assume the use of a standard macro drip giving set

You are considering purchasing a used textbook from a former student. The price of a new manual is $130. The former student offers you his used textbook for ''$100 or best offer''. You are willing to pay up to $120 for the used manual and up to $140 for a new manual. Answer the following questions and give detailed explanations for your answers. a) Which textbook will you purchase? b) What is the maximum price that will make you prefer to buy the used manual? c) What price will you pay for the item? What determines the price? d) What will be the gains from the exchange? (Give a lower bound)

find the center and radius of the circle with the equation:x squared +16x+64+y squared-2y + 1=144

2.- a) Calculate the APR on a four-year loan of €100,000 Nominal at a TIN of 2% if it is amortized with constant amortization installments and a commission is paid at maturity of €1,000 b) Calculate the APR on a four-year loan of €100,000 nominal at a TIN of 2% if it is amortized by the French method and an initial commission of €10,000 is paid. c) Calculate the APR on a four-year loan of €100,000 Nominal at a TIN of 10% if it is amortized with constant amortization installments, quarterly payments and a commission is paid at the beginning of €3,000

What force F1 is required to move a 10,000 kg load K?

A poor, underpaid math teacher gets a credit for 3000e to buy a motorcycle. The credit goes over 2 years, the payments are monthly due, and the nominal interest rate is 2% payable monthly of course. (a) How much is the monthly annuity?

Domain of the function x+1/x²+3

what is the degree of the monomial (4xy^7)^3

On grandpa's farm there are a group of cats and ducks, my cousin told me that he counted 110 legs in total, I counted 76 eyes, how many cats and how many ducks there are.

On my grandfather's farm there are a group of cats and ducks, my cousin told me that he counted 110 legs, I counted 76 eyes, how many cats and how many ducks are there?

Suppose that when studying innovative companies in the market, a researcher can, depending on characteristics such as size, capacity of expansion and differences in relation to the competition, estimate the potential of contributions by market investors. According to your analysis, obtained two company profiles (startups) associating the potential of financial return to the investor (y) and the number of investors interested in such proposals (x), as being a(x)=450000x-2500, for x<15 and b(x)=315000x-1750, for x≥15. If companies with both profiles obtain, at a given moment, revenue from 800000.00, what is the expected number of investors for each profile? Hide comments for question 2 Calculating the respective roots, we obtain: (considering only the positive root) Between 0 and 1 for the first profile and between 0 and 1 for the second profile Between 1 and 2 for the first profile and between 2 and 3 for the second profile Between 0 and 1 for the first profile and between 2 and 3 for the second profile Between 1 and 2 for the first profile and between 1 and 2 for the second profile Between 2 and 3 for the first profile and between 0 and 1 for the second profile

Perform the exercise either by graphic method, branching and dimensioning or by cutting planes Max z = 2X1 + X2 5X1 + 2X2 ≤ 10 X1, x2 ≥ 0, integers

By adjusting the target audience to the consumption of a new product on the market, a marketing consultancy estimated that, when benchmarking with the competition and acceptance surveys, likely demand would follow expression y=20750.(1,12)^x , where y=projected sales and x=consumers (in thousands). When placing the product on the market, In fact, the level of sales was excellent, reaching the 1700000 units. How many consumers are at this level of sales? (Consider ln(81,93)=4.40 and ln(1,12)=0.11)

2x+y-3z=3 x+y+z=-1 3x-y+2z=0 Solve the system of equations using Cramer's Method

If 4b^2 + 1/b^2 = 2, then calculate the value of 18b^3 + 1/b^3, without solving for b

Five bottling machines fill 240 bottles in 20 minutes, 120 bottles in 15 minutes, 180 bottles in 10 minutes, 200 bottles in 10 minutes and 90 bottles in 6 minutes, respectively. If they work for an hour and a half, how many bottles will the fastest bottler fill?