Answer:
12981
Step-by-step explanation:
Given that :
Initial number of residents = 12575
Yearly growth rate (r) = 1.6%
Population in 2 years :
Using the relation :
Population in t years P(t) :
P(t) = initial population * (1 + growth rate)^t
t = time
Population in 2 years :
P(2) = 12575 * (1 + 0.016)^2
P(2) = 12575(1.016)^2
= 12575 * 1.032256
= 12980.6192
= 12981
We are to find the graph which best represents the given function:
f (x) = 5 (2)^-x
To be able to solve this, let us write the function of each graph mathematically
and select the correct one.
Graph A:
function f of x equals 5 multiplied by 2 to the power of negative x =>
f (x) = 5 (2)^-x
Graph B:
function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5
(2)^x
Graph C:
function f of x equals 10 to the power of x => f (x) = 10^x
Graph D:
function f of x equals 10 to the power of negative x => f (x) = 10^-x
Therefore based on the mathematical interpretations above, only Graph A is
similar to the given function. Hence the correct answer is:
Graph A
Answer:
A.
B.
Step-by-step explanation:
Given that:
An investment of Amount = $8000
earns at an annual rate of interest = 7% = 0.07 compounded continuously
The objective is to :
A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
we all know that:
where;
The instantaneous rate of change =
At t = 2 years; the instantaneous rate of change is:
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
Here the amount = 12000
㏑(1.5) = 0.07 t
0.405465 = 0.07 t
t = 0.405465 /0.07
t = 5.79
At t = 5.79
Answer:
11 dimes NAD QUARTERS *i think*
Step-by-step explanation:
Answer:
x = -4, -2
Step-by-step explanation:
-x² - 6x - 8 = 0
x² + 6x + 8 = 0
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) = 0
(x + 4)(x + 2) = 0
x = -4, -2