What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
1 answer:
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Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If , then
r represents growth rate
else, r represents decay rate
Since b < 0.97:
Answer:
11 L of 20% juice and 4 L of 5% juice
Step-by-step explanation:
Let
x L = amount of 20% juice
y L = amount of 5% juice
<u>20% juice:</u>
Amount = x L
Amount of juice L
<u>5% juice:</u>
Amount = y L
Amount of juice L
<u>16% juice:</u>
Amount = 15 L
Amount of juice L
We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so
and
From the first equation:
Substitute it into the second equation: