We are given the quadratic:

, with a=1, b=-8, c=15.
We know that the x-coordinate of the vertex, which is the point where the line of symmetry passes through is

.
Thus, the x-coordinate of the vertex is

.
Thus, the line of symmetry is x=4.
Answer: <span>B. The line of symmetry should have been 4 instead of –4. </span>
The answer is B if you solve for x
Answer:
$21,500
Step-by-step explanation:
T=1/8x+19
since x is the year since 2000, the year 2020 would be when x=20.
Sub x=20 in the equation
T=(1/8)(20)+19
T=20/8 +19
T=19 + 5/2
T=43/2
T=21.5
Since T is tuition in thousands, multiply T=21.5 by 1000. The tuition is $21,500.
Answer:
The cost of the groceries is $64 and Caleb paid in total $64.00 not including the sales tax.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the following :
Compounding interest on CD (r) = 11.86%
Period (t) = 10 years
A) If $10,000 is invested in the CD ; worth in 10 years will be ;
A = P(1 + r)^t
Here, P = $10,000
A = final amount or worth
A = 10,000(1 + 0.1186)^10
A = 10,000(1.1186)^10
A = 10,000 × 3.067242759
A = $30672.43
B. How long will it take for the account to be worth $35,000?
A = $35,000 final worth
35000 = 10,000(1 + 0.1186)^t
35000 = 10000(1.1186)^t
Divide both sides by 10000
1.1186^t = 3.5
t = 3.5 / In(1.1186)
t = 3.5 / 0.1120779
t = 31.228
t = 31. 23years