Answer:
$103968.11
Step-by-step explanation:
Given information:
Principal amount = $240,000
Rate of interest = 1.2% = 0.012
Number of years = 30
Number of times in an year = 24
Formula for amount:
where
P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.
Now,
Hence, the interest is $103968.11.
Answer:
the perimeter is 36
Step-by-step explanation:
Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
Y - y1 = m(x - x1)
slope(m) = -6
(-2,-3)...x1 = -2 and y1 = -3
now sub and pay close attention to ur signs
y - (-3) = -6(x - (-2)....we're not done yet...
y + 3 = -6(x + 2) <===
The amount of radioactive material remaining after 24 hours is 92.15 kg.
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the amount of the substance after t hours.
From the equation, a = 100 mg
Also, after 6 hours:
After 24 hours:
y = 100(0.9966)²⁴ = 92.15 kg
The amount of radioactive material remaining after 24 hours is 92.15 kg.
Find out more on Exponential function at: brainly.com/question/12940982
