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.
Answer:
D
Step-by-step explanation:
a⁶ - b⁶
(a³)² - (b³)²
(a³ - b³)(a³ + b³)
[(a - b)(a² + ab + b²)][(a + b)(a² - ab + b²)]
(a - b)²(a² + ab + b²)(a² - ab + b²)
Answer:
1,854
Step-by-step explanation:
MULTIPLY FIRST:
5 x 10 = 50
4 x 1 = 4
8 x 16 = 128
6 x 100 = 600
1 x 1000 = 1000
ADD:
50 + 4 + 128 + 600 + 1000 = 1,854
Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 6 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes.
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus
y = - 3x - 4 ← equation of parallel line
