To solve this we are going to use the formula for compounded interest:
where
is the final amount after
years
is the initial amount
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the time in years
We know for our problem that
,
, and
. Since the interest is compounded daily, it is compounded 365 times in year; therefore,
. Lets replace those values in our formula to find
:
We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Answer: long range
Explanation: it mainly effects long range areas but can also affect short range if it need to
Answer:
4 - 2m + 3
Step-by-step explanation:
when you distribute the negative sign you will get this
Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
