Answer: 16
Step-by-step explanation:
Answer:
x < 7
Step-by-step explanation:
the domain is the number range or interval of x the function is defined for to generate a y-value.
the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.
x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.
so, it is fully defined for all x < 7.
Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
For this case, what you should know is that Sue Jones insurance covers half of the expenses. Equivalently, her insurance covers:
10/20 = 1/2 = 0.5
Therefore, we have then that
a. for Albert
0.5 * (12000) = $ 6000
b. for Sam
0.5 * (8000) = $ 4000
c. total
The sum of the results of parts a and b
$ 6000 + $ 4000 = $ 10,000
answer
$ 6000
$ 4000
$ 10,000
Multiply 8 with pi since the equation for circumference is 2pi(r), or d(pi). The answer is 25.13