Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
Answer: x > 486
Explanation:
We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.
This is what the steps look like
x/18 > 27
18*( x/18 ) > 18*27 .... multiplying both sides by 18
x > 486 ... note the 18's cancel on the left side
So this means x is some number greater than 486.
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
<span>He bought 36 baseball cards. Since 3/4 of the 48 cards are baseball cards, you need to find 75% of 48, which is 36 cards. </span>
