First of all, the angle bisector, ray and angle line are all lines. Please refer to the picture attached. All of these lines are joined at one point called vertex which is at point O. The angle bisector is the line that divides the total angle into half. In this case, that would be line OB. The ray and line are the two legs of the angle, which are line OA and line OC, respectively. The angle is the arc between the lines.
Answer:
Left: The substance is decreasing by 1/2 every 12 years
Right: The substance is decreasing by 5.61% each year
Step-by-step explanation:
exponential decay
A = P(1-r)ᵇⁿ, where A is the final amount, P is the initial amount, r is the rate decreased each time period, b is the number of years, and n is the number of times compounded each year
let's write each formula in terms of this
left:
f(t) = 600(1/2)^(t/12)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1/2 -> r = 1/2
t/12 = bn -> b = number of years = t, so bn = b/12 -> n = 1/12. Thus, it is compounded 1/12 times each year, so it is compounded every t*12 = 12 years. If it was compounded each month, it would be compounded 12 times a year
Thus, this is decreasing by a rate of 1/2 each 12 years
right:
f(t) = 600(1-0.0561)^(t)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1 - 0.0561 -> r = 0.0561 = 5.61%
t = bn -> b = number of years = t, so bn = b -> n = 1. Thus, it is compounded annually (1 time each year)
Thus, this is decreasing by a rate of 5.61% each year
Answer:
It will take 36.1 years for her money to reach $105,000.
Step-by-step explanation:
The amount of money earned after t years in continuous interest is given by:
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%.
This means that 
How long will it take for her money to reach $105,000?
This is t for which P(t) = 105000.
It will take 36.1 years for her money to reach $105,000.
Answer:
C. y = -2x.
Step-by-step explanation:
x y
0 0
2 -4
4 - 8
6 -12
Note that the y values = x values * -2,
so the equation is y = -2x.
Answer:
That's a net- just use the same equation as lateral area then do surface area after that.
L=Ph
THEN....
A= L +2B
