9765 = 3562 * x^30
x^30 = 2.7414
x = 1.0342
a ) An exponential function is:
y = 3562 * (1.0342)^n
b ) The annual percent change is:
1.0342 - 1 = 0.0342 = 3.42 %
c ) In 2019 :
n = 2019 - 1970 = 49
y = 3562 * (1.0342)^49 = 3562 * 5.195 = 18,506
d ) 40,000 = 3562 * (1.0342)^n
1.0342^n = 11.22964
n = 72
1970 + 72 = 2042
The town`s population will reach 40,000 people in 2042.
This comes from subtracting 4 from both sides.
Answer:
A
Step-by-step explanation:
n, n + 2, n + 4 - three consecutive odd ntegers
n + (n + 2) + (n + 4) = 5(n + 2) - 18 |use distributive property
n + n + 2 + n + 4 = (5)(n) + (5)(2) - 18
3n + 6 = 5n + 10 - 18
3n + 6 = 5n - 8 |subtract 6 from both sides
3n = 5n - 14 |subtract 5n from both sides
-2n = -14 |divide both sides by (-2)
n = 7
n + 2 = 7 + 2 = 9
n + 4 = 7 + 4 = 11
Answer: 7, 9, 11.
So we have the equations:
y - 4x = 2 --- equation 1
5y - 2x = 1 --- equation 2
(equation 2) * 2
10y - 4x = 2 --- equation 3
(equation 2) - (equation 3)
-9y = 0 so y= 0 and thus x = -1/2
Hope that helps!
