Answer:
(D)On a coordinate plane, a parabola opens up with x-intercepts at (negative 2, 0) and (2, 0), and a y-intercept at the vertex (0, negative 4).
Step-by-step explanation:
For a parabola to have a minimum vertex, it must open upward. (a>0).
In the given options, the parabola which opens upward is option D.
On a coordinate plane, a parabola opens up with x-intercepts at (negative 2, 0) and (2, 0), and a y-intercept at the vertex (0, negative 4).
Therefore, it has a minimum vertex with coordinates (0,-4).
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.
<h3>Compound Interest</h3>
Given Data
- Time = 6 months = 0.5 years
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.03/12)^(12)(0.5)
A = 1,000.00(1 + 0.0025)^(6)
A = $1,015.09
Learn more about compound interest here:
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13 songs per cd 4/4 and 52/4= 1/13