<span>Describe the translation in words: (x, y) (x - 3, y + 7) =3 units to the left, 7 units up
Describe the translation as an ordered pair: 5 units to the right, 4 units down.
=(x, y)(x + 5, y – 4)
Describe the translation in words: (x, y) (x + 6, y – 2) =6 units to the right, 2 units down
Describe the translation as an ordered pair: 1 unit to the left, 8 units down
=(x, y) (x – 1, y – 8)
</span>
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:
The answer is D
Step-by-step explanation:
I subtracted 10 from 75 and got 65 then divided 65 by 3 and got 21
Step-by-step explanation:
Hey, there!!
Given,
cos theta = 0.5
To convert it into angle, you have to take cos to right side making it (cos inverse).
Therefore, theta = cos inverse (0.5)
= 60°.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
