Answer:
C. 1.8027
Step-by-step explanation:
The exponential population growth model is given by:
In which P(t) is the population after t years, 
is the initial population and r is the growth rate.
At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.
This means that 
Applying this to the equation, we find r. So
Applying ln to both sides
So
What would be the population of the city 5 years after the start of the population study?
This is P(5).
So the correct answer is:
C. 1.8027
D.d=24%
d.r=29%
d.t=53%
r.d=24%
r.r=24%
r.t=47%
t.d=47%
t.r=53%
t.t=100%
Just take the numbers and divide them over the total amount which in this caase is 51.
Answer:
C, E, D
Step-by-step explanation:
A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)
<h3>Application</h3>
When rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.
Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.
C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket
D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket
E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket
<h3>Matching</h3>
(38 apples)/(1 basket) = C: 38 apples/basket
(45 apples)/(1 basket) = E: 45 apples/basket
(42 apples)/(1 basket) = D: 42 apples/basket
The focus is above the directrix, so the parabola opens upward—its vertical scale factor is positive (+1/12). The line of symmetry is x=-5, so the vertex form of the equation will have the factor (x -(-5))² = (x+5)². The choice that meets both these requirements is
D. f(x) = (1/12)(x + 5)² + 2
Answer:
Step-by-step explanation:
b^3+b
