Answer:
what site is this on?
Step-by-step explanation:
Answer:
decay
2% decrease
Step-by-step explanation:
The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...
growth factor = 1 + rate of change
0.98 = 1 + (-0.02)
So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.
Answer:
y=4(1/2)^x
Step-by-step explanation:
Start with x=0, you know any number to the power of 0 is one. Since y=4, when x=0, you know the coefficient out front must be 4 b/c 4*1=4.
Next, look at x=1, which is equals 2. 1/2^1 = 1/2. Multiply by 4 to get 2. That means that b must equal 1/2. You can check this by looking at x=2. At x=2, y=1. (1/2)^2=1/4. 1/4(4)=1, making 1/2 the b value.
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer:
$842.8
Step-by-step explanation:
It says that Katie already paid the 14% of the item as a down payment, so she needs to pay the remaining 86% of the item.
To get that, it is:
$980 x 86% = $842.8
