Q and A for the topic: General

How many units to sell if the company wants a profit before taxes of $20,000, total fixed costs $30,000, selling price $150, variable unit cost $50.

create a function of degree 3 with the roots, c = 5, 0, -2. Then create a function with the same roots but with degree 6.

Check if vector u vector v vector w are LI OR LD A)vector u=(1,2,1) vector v=(1,-1,-7) and vector w=(4,5,-4) B)vector u=(1,-1,2) vector v=(-3,4,1) and vector w=(1,0,9) C)vector u=(7,6,1) vector v=(2,0,1) and vector w=(1,-2,1)

Show that 10000x^2 is O(x^3) but x^3 is not O(10000x^2)

A circuit is 3500 meters long, each vehicle uses an average of 60 liters per 100 and each half liter costs 2.50. If a vehicle makes 30 laps, what will be the cost per lap?

Louis ran to Versailles and then walked back to town. His running rate was 6 kilometers per hour and his walking rate was 3 kilometers per hour. How far was it to Versailles if the round trip took 6 hours?

Roger Goose had a 500-yard head start on Willa. If Willa's speed was 40 yards per second and Roger's speed was only 20 yards per second, how long did it take Willa to catch up?

3x-2y=15 x=3

The population of Figmentia was 19685 in the 2020 census. The future population of the town can be modeled by p(t)=19685e^0.0116^t , where t is the number of years since 2020. Use the function to predict the population in 2035. Round to the nearest whole number

An accountants review if a local bakery reveals that the cost , C, to produce X tiramisus is given by C(X)=5.82x+75 1. Find C(50) 2. Use a complete sentence to explain what C(50) represents in this scenario.

A survey is applied to the inhabitants of a city to determine which public works to choose. Option "construction of a bridge" or "construction of social housing". The results were: 20% of those surveyed chose "construction of a bridge", 16% chose "construction of social housing" and 1% chose both options. IF A RESPONDENT IS RANDOMLY SELECTED WHO CHOSE "Construction of a bridge", what is the probability that he/she also chose the option "construction of social housing"? Justify your answer.

A company asks you to investigate the cellular equipment market. In the market, a strong increase in consumer income in the cell phone market and an increase in the price of the processors used in the manufacture of cell phones is expected. Use supply and demand model to advise this company, explaining changes in prices and quantities traded (graph).

Factor 25-9v^2

Kayla set up an outdoor digital thermometer to record the temperature overnight as part of her science fair project. She began recording the temperature, in degrees Fahrenheit at 10 pm. Kayla modeled the overnight temperature with function t, where h represents the number of hours since 10pm. t(h) = 0.5 h^2 - 5h + 27.5 What is the lowest temperature and at what time did it occur?

A wave has a frequency of 5Hz and a wavelength of 2 meters. What is its propagation speed?

15-18-11+6

(-3)x(-3)x(-2)

3.The monthly income from the sale of x units is given by: R(𝑥) = 12𝑥 − 0.01𝑥^2 Dollars Determine the number of units that must be sold each month to maximize income. How much is the maximum income?

A positive integers is twice another. The difference of the reciprocals of the two positive integers is (1/18). Find the two integers.

John can jog twice as fast as he can walk. He was able to jog first 5miles to his grandmother’s house, but then he got tired and walked the remaining 2miles. If the total trip took 0.9 hours, then what was his average jogging speed?