Answer: First option.
Step-by-step explanation:
Given the following equation provided in the exercise:
You can follow the steps indicated below in order to find the solution of this equation:
1. Cubing both sides of the equation, you get:
2. Finally you must subtract 8 from both sides of the equation:
You can notice that this solution matches with the first option.
Answer:
Step-by-step explanation:
Given
f(t) = Population of females
g(t) = Population of people
Required
Determine the population of males
Represent the required population with h(t)
With the assumption that, one can either be male or female (but not both), the relationship between f(t), g(t) ang h(t) is:
i.e.
Make h(t) the subject in
The number of compounding per year is
This can be calculated by making use of the formular; 920(1.03)^4t and use the compound interest equation which is N=P( 1+r/n)^nt
We know that 12% was given as the rate per year, then to get the quarter rate we divide by factor of 4, which is 12/4= 3%
The compounding for t years = n*t = 4t where n=4.
and the Initial number of cars serviced=920
Then we can substitute the values into the above equation, we have Thus
Learn more about compound interest at:
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CHECK THE COMPLETE QUESTION BELOW:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. A car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012. Create an exponential expression to model the number of cars serviced after t years. Then, match each part of the exponential expression to what it represents in the context of the situation. 920(1.03) is the number of cars multiplied by 1.03. The quarterly rate of growth is 0.03 or 3%. The compound periods multiplied by the number of years is 4t. The initial number of cars serviced is 920. The growth factor is represented by 1.03. The growth rate is 1.03. Exponent arrowRight Base arrowRight Coefficient arrowRight Rate arrowRight