Quantity vs. Rate-of-Change The projected number of senior citizens in the U. S. for the years 1995 through 2030 can be modeled by N(x), million senior citizens, where x is the number of years after 2000 N(x) = 0.03x2 + 0.315x + 34.23 (a) Find the derivative of N(x) and use it to complete the model statement below. (Refer back to Section 3.2 of your text (or ebook) for simple derivative rules.) N'(x)= .06**.315 N(x)-06x+.315 million seniorci izens peryea B、 gives the projected rate at which the number of senior citizens is changing x years after 2000, for the years 1995 through 2030 Use the appropriate function from above to answer questions b through d
(b) What is the projected number of senior citizens in the year 2025? (Round your answers to 3 decimal places.) 60.855 million senior citizens
(c) What is the projected rate of change of the number of senior citizens in 2025? (Round your answers to 3 decimal places.) 1.815 million senior citizens per year
(d) The Census Bureau predicts that in 2030, 20.1% of the u. s. population will be senior citizens. Use this prediction to estimate the total U. S. population in 2030" (Round your answer to 3 decimal places.) 347.91 x million people symbolic formatting help

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!