Answer:
The approximate number of gallons consumed by a person in 2010 will be 4.9 gallons
Step-by-step explanation:
Recall that the formula for exponential decrease is given by a function of the form:
where A is the initial value, r is the rate of decrease, and x is the time elapsed.
In our case, the initial value of gallons of juice per person (at the starting time = 1981) is 16.5 gallons. So A = 16.5 gallons.
the rate of decrease "r" is the decimal form of: 4.1%, that is r = 0.041
So we have:
Now we can calculate what the average number of gallons would be in the year 2010, knowing that between 1981 and 2010 there is an elapsed time in years of: 2010-1981 = 29 years. Then:
We have to divide using long division.
__4
4| 19
16
3
The divisor becomes the denominator, the remainder becomes the numerator, and the quotient becomes the whole number.
So we have:
Answer:
1,100 dollars divided by 5 friends is 220 dollars so each friend would have to pay 220 dollars
Step-by-step explanation:
Answer:
7x^2+5x
Step-by-step explanation:
Given
Polynomial 1: 9x^2+8x
Polynomial 2: 2x^2+3x
We have to find subtraction of both
So,
9x^2+8x - (2x^2+3x)
First of all the brackets will be eliminated by multilying the minus sign
9x^2+8x-2x^2-3x
The terms with same power of variable will be written together
9x^2-2x^2+8x-3x
=7x^2+5x ..
We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: <span>C. sqrt( 2 )</span>
