Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% = = 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08
Hence,
Liz needs to sell products of $6250 at least.
The question is incomplete, here is the complete question:
The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.
When will there be less than 1 g remaining?
<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.
<u>Step-by-step explanation:</u>
All radioactive decay processes follow first order reaction.
To calculate the rate constant by given half life of the reaction, we use the equation:
where,
= half life period of the reaction = 46 days
k = rate constant = ?
Putting values in above equation, we get:
The formula used to calculate the time period for a first order reaction follows:
where,
k = rate constant =
t = time period = ? days
a = initial concentration of the reactant = 12.6 g
a - x = concentration of reactant left after time 't' = 1 g
Putting values in above equation, we get:
Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.
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Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
__
You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
