Answer:
D: r^2 = 4
Step-by-step explanation:
Square the radius: r^2 = 2^2 = 4 (answer)
Answer:
k = 9/8
Step-by-step explanation:
For a root with multiplicity 2, the discriminant must be zero. For quadratic ax^2 +bx +c, the discriminant is ...
d = b^2 -4ac
For your quadratic, a=2, b=3, c=k, so you want ...
3^2 -4(2)(k) = 0
9 -8k = 0
k = 9/8
What do you need help with?
Answer:
See Below
Step-by-step explanation:
It's a lot easier to get a linear equation in slope-intercept form (y = mx + b, where m and b are the line's slope and y-intercept, respectively) if you want to graph it, so let's do that here.
Rewriting the given equation gives us:
5x - y = 12
-y = -5x + 12
y = 5x - 12
We see here that m = 5 and b = -12, so the line has a slope of 5 and a y-intercept of (0, -12). Using this information, we can graph the line, as shown below. Hope this helps!
Answer:
$1,085
Step-by-step explanation:
Data provided in the question:
Amount inherited and invested i.e principle = $31,000
Annual return for Mark on savings account = 2.9% = 0.029
Annual return for Charles on CD = 6.4% = 0.064
Now,
The Interest earned by Mark in 1 year = principle × Rate × Time
= $31,000 × 0.029 × 1
= $899
The Interest earned by Charles in 1 year = principle × Rate × Time
= $31,000 × 0.064 × 1
= $1,984
Therefore,
More Money that Charles have than Mark = $1,984 - $899
= $1,085