Answer:
x=04
Step-by-step explanation:
<span>PQR is a triangle
QR = x </span>⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side
<span>In the triangle, the largest angle lies opposite the largest side.
</span>The angles of Δ<span>PQR in order from largest to smallest:
</span>∠R is largest [opposite to PQ]
∠Q is middle [opposite to RP]
∠P is smallest [opposite to QR]
Complentary angles add to 90 degrees
a and b are complentary
a+b=90
a=7x+4
b=4x+9
so
7x+4+4x+9=90
combine like terms
11x+13=90
minus 13 both sides
11x=77
divide both sides by 11
x=7
m a =7x+4=7(7)+4=49+4=53
m b=4x+9=4(7)+9=28+9=37
angle a measures 53 degrees
angle b measures 37 degrees
Answer:
The yield is 5.974%
Step-by-step explanation:
We proceed as follows ;
coupon rate = Annual coupon payment/bond face value.
The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%
mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87
mathematically;
current yield = Annual coupon payment/bond price
current yield = 29.87/500
= 0.05974 or simply 5.974%
so the answer is c. 5.6%
Step-by-step explanation:
Answer:
Step-by-step explanation:
For any prism or cylinder for that matter, you can find the volume by multiplying the area of the base times the height. So this problem just becomes simple algebra.
B * h = V
25 * h = 80
h = 80/25
h = 3.2
If you don't get why it's the area of the base let me know and I can try to explain it.