Answer:
y=5x+4
Step-by-step explanation:
y=mx+b
m=slope
x=constant
b=y intercept
It is approximately -.4048
H=10^(-pH)
log H = -pH
pH=-logH => so it is affirmed that it is -.40
The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.
Step-by-step explanation:
Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.
Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.
The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.
So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.
The number of years to reach 13,500 dollars =
= 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.
The relationship of arcs is:
S '/ S = ((1/9) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((1/9)) / (2)
S '/ S = 1/18
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
Clearing we have:
A = (A ') / (S' / S)
Substituting:
A = ((1/2) pi) / (1/18)
A = ((18/2) pi)
A = (9pi)
Answer:
The area of the circle is:
A = (9pi)
The <u>correct answer</u> is:
<span>If a figure is a triangle, then it has three sides.
Explanation:
A conditional is an if-then statement. The part after "if" is called the hypothesis; the part after "then" is called the conclusion.
We know that triangles have 3 sides. We will start out with "if a figure is a triangle"; we end with "then it has three sides."
This is a true conditional statement.</span>