In 2010, the area's population tallied at 2.13 million. Since then, the population has grown at a rate of 2.4% per year. Write an equation that you can use to predict the population for the number of years after 2010.

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^t

Where

y represents the population, t years after 2010.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 2.13 × 10^6

r = 2.4% = 2.4/100 = 0.024

Therefore, the equation that you can use to predict the population for the number of years after 2010 is

y = 2.13 × 10^6(1 + 0.024)^t

y = 2.13 × 10^6(1.024)^t

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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