Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon.
We find the coupon amount each year
Coupon amount = actual amount of bond * 4%
= 10,000 * 0.04 = 400
Coupon amount for every year = 400
Total value of coupons for 30 years = 400 * 30 = 12000
$12,000 is the total value of the coupons
The prime factorization of 18 is: 2 x 3 x 3.
The prime factorization of 45 is: 3 x 3 x 5.
The prime factors and multiplicities 18 and 45 have in common are: 3 x 3.
3 x 3 is the gcf of 18 and 45.
gcf(18,45) = 9.
Answer:


Step-by-step explanation:
Given:
; find x and y.
Let's start with finding x first. Let's distribute the left side of the equation.

Let's move everything we can to the left side of the equation. Some things will cancel out.

Now, let's move the term that includes
to the left side of the equation. Everything else should be moved to the right.

Let's get rid of the negative sign in front of
by dividing both sides by -1.

To get
completely isolated, divide both sides by
.

Simplify.

Let's solve for y. We will start with the distributed and simplified equation to make it easier.

Now, let's move the term that includes
to the left side of the equation. Everything else should be moved to the right.

Again, let's get rid of the negative sign in front of the
by dividing both sides by -1.

To isolate y, divide both sides by z.

Simplify.
