Given that <span>Martin's unpaid credit card balance was $1539.39 and his APR is 13.2%.
APR is the annual interest rate, to get the monthly interest rate, we divide the APR by 12.
Thus, monthly interest rate is </span>

The interest charge for the month is given by

, where P is the previous balance, i is the monthly interest rate.
Thus, interest charge is

The balance after the monthly interest charge = $1,539.39 + $16.93 = $1,556.32
Therefore, the balance after the new transaction is given by $1,556.32 + $178 = $1734.32
Answer:
EcD= 52 DCB=128
Step-by-step explanation:
First, let's find out what x equals and what (x+11) equals

And therefore...

Now angle ecd is a vertical angle we just found.
So angle ECD= 52 degrees
And agles ECD and DCD and supplimntary

Answer:
The length of the shortest side of the triangle is 10 units.
Step-by-step explanation:
Let <em>a</em> be the shortest side of the isosceles triangle and <em>b</em> be the two congruent sides.
The congruent sides <em>b</em> are each one unit longer than the shortest side. Hence:

The perimeter of the isosceles triangle is given by:

This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be <em>s</em>. Hence:

The perimeter of the square is:

Since the two perimeters are equivalent:

Substitute for <em>b: </em>
<em />
<em />
Solve for <em>a</em>. Distribute:

Simplify:

Hence:

The length of the shortest side of the triangle is 10 units.
Answer:
110 cupcakes are left
Step-by-step explanation:
200-90 is 110