Answer:
$14,644.63
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
<em>P = initial balance </em>
<em>r = interest rate </em>
<em>n = number of times compounded annually </em>
<em>t = time </em>
<em />
First change 12% into a decimal:
12% -> -> 0.12
Lets plug in the values:
Tammy will own $14,644.63 after 8 years,
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified