Answer:
the vertex is (-7, -63)
Step-by-step explanation:
x^2 + 14x - y - 14 = 0
x^2 + 14x = y + 14 (to isolate the x)
x^2 + 14x + 49 = y + 14 + 49
(x+7)^2 = y + 63
now we convert to vertex form, which is y = a(x – h)2 + k :
(x+7)^2 = y + 63
y = (x+7)^2 - 63
The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)
Answer:
8.213 and 8.214 will round to 8.21 if rounded to the nearest hundredth :)
Make a variable for “number”
Number=X
0.3x=42
X=140
50% is the same as 1/2
So, half of 140 is: 70
Answer:
current market price of the bond is $958.73
Step-by-step explanation:
given data
coupon rate = 5.74 percent
yield to maturity = 6.1 percent
bond matures = 20 years
future value = $1,000
solution
we get here PMT that is
PMT = 1,000 × 5.74% ÷ 2 ...............1
PMT = $28.70
and Number of Periods is
NPER = 20 years × 2 = 40 semi-annual periods
and here Rate of interest will be = 6.1% ÷ 2 = 3.05%
and we use here formula that is
= -PV(Rate;NPER;PMT;FV;type)
so we get
current market price of the bond is $958.73