Exponential decay is given by the equation
F = P(1 - r)^t
0.5 = 1(1 - 0.092)^t
0.5 = (0.908)^t
log 0.5 = log (0.908)^t
log 0.5 = t * log 0.908
t = (log 0.5)/(log 0.908)
t = 7.18
Answer: 7.2 years
Answer: Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
Step-by-step explanation: <em>Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
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<em>Then divide the total number of cookies by the number of guests: 84 21 = 4. Each person would get 4 cookies.</em>
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<em>This process can be modeled by the expressions 28(3) ÷ 21 and </em>
<em>28(3)
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<em>21
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<em>. This is because the fraction bar represents division.</em>
I believe 22. Because 11+3=14, but without that, you would add 11 to 11, which gives you 22
Answer:
<em>The company needs to sell 40 desks to break even</em>
Step-by-step explanation:
<u>Application of Equations</u>
There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.
B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is
C(x)=150x+14,000
A. The revenue for each desk is estimated at $500, for X desks will be
R(x)=500x
C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate
C(x)=R(x)
Or equivalently
150x+14,000=500x
Rearranging
500x-150x=14,000
350x=14,000
Solving for x
x=14,000/350= 40
The company needs to sell 40 desks to break even
We need to find the center and the radius of
The general circle equation is the following
where
(h,k) is the center and
r is the radius
1. rearrange the equation
2. Add 25 on both sides
3. Factor
Now we have an equation that is very similar to the circle equation, so let's compare them
Center -> (h,k) = (5,-11)
radius -> r = 5
