Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
Answer:
1/49 or 1/42
Step-by-step explanation:
if the letters are put back you would have a 2/7 chance of drawing the letter a each time but if they aren't replaced then you would have a 2/6 chance of getting a
Recall that, to get the inverse relation of any expression, we start off by doing a quick switcharoo on the variables, then we solve for "y".
When we have dependent and independent variables we will have a linear relationship.
Let x be the independent variable and y be the dependent variable.
To write the relationship we will have :
y = kx + c
Where k and c are constants.
In the case of a line the constant k is the gradient.
A multiplicative change is a log form and it is given by :
Y = Ck^x
The relationship is not linear but exponential.
The correct answer is thus :
Additive rate of change.
