Answer:
$70,201.38
Step-by-step explanation:
To determine the principal amount, we can use the formula:
A = $200,000
r = 7% or 0.07
t = 15 years
n = 12
Now let's substitute our values.
So the principal needed to get 200,000 in 15 years is $70,201.38.
Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
(side 1)² + (side 2)² = (diagonal)²
(9.5² + (14)² = (diagonal)²
90.25 + 196 = (diagonal)²
286.25 = (diagonal)²
√286.25 = √(diagonal)²
17 = diagonal
Answer: 17 inches
Answer:
The roots of the polynomial equation in this case would be the intersection of the 2 polynomial functions. which are at x = 4 and x = -3
Step-by-step explanation:
The roots are found by finding the x-values of the intersections of these two cubic polynomial functions.
We could try solving algebraically, but you have the graph.
