You would do:
t = time in years
14,800 = 10,000(1+0.08/4)^4t
1.48 = 1.02^4t
log_1.02(1.48) / 4 = t
((log 1.48)/ (log 1.02))/4 = t
t ~ 4,949 years
Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
3 ft. by 4 ft. because 1/4 inch of an inch is 3ft while 1/3 inch of an inch is 4 ft.
Answer:
x = 2, x = 0
Step-by-step explanation:
If the solution for both functions is the same, f(x) and g(x) should have the same number. Hence, by looking at the table, both functions have -3 as the answer when x =0. Moreover, both functions have 0 as the answer when x = 2. Hence the answer is x = 0 and x = 2
The quadratic equation
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
