Answer:
Option B - $3623.85
Step-by-step explanation:
Given : Jeff invested $3000 in an account that earns 6.5% interest, compounded annually. The formula for compound interest is .
To find : How much did Jeff have in the account after 3 years ?
Solution :
The formula for compound interest is .
Where A is the amount
P is the principal = $3000
I is the interest = 6.5%=0.065
t is the time = 3 years
Substitute in the formula,
Therefore, Option B is correct.
The amount Jeff have in the account is $3623.85
Answer:
The simplified form is
Step-by-step explanation:
To simplify the expression given to use, we need to reduce the given expression in its simplest form. There should not be any possibility for the further cancelling out of the division terms, if any.
Now the expression that is given to us is:
Here we will simplify it, as follows:
So this is the required simplified form.
Answer:
c
Step-by-step explanation:
Here's how this works:
Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:
In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:
Put everything over the common denominator now:
Since , we will make that substitution:
We could separate that fraction into 2:
×
and
Therefore, the simplification is
sec(x)csc(x)