(x - 10) × 2
You have to multiply it by 2 so that you get the area
Simpe interest rate = PRT/100
— ( principal x rate x time ) / 100
$3,000 is the principal
3 years is the time
2% is the rate
so, PRT/100
(3,000 x 3 x 2) / 100
= $180
Answer : $180
Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
Answer:
65.7
Step-by-step explanation:
Given the population of West Algebra can be modeled by the equation
P = 30. 1.04^T
If T is the number of years since 2000 and P is the population in millions, in 2020, T = 2020 - 2000 = 20
Substitute T = 20 into the expression and get T
P = 30. 1.04^20
P = 30(2.1911)
P = 65.73
Hence the amount of people that will be there in 2020 is 65.7million people
Answer:
y = 
x + 
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 )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = 
= , hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = 
+ c ⇒ c = 7 - =
y = x + ← equation in slope-intercept form
