Answer:
x-intercept: (8, 0)
y-intercept: (0, -4)
Step-by-step explanation:
Answer:
41 empty chairs.
Step-by-step explanation:
Banquet has (22)(4) tables and (15)(6) tables, subtracted by 3.
22 x 4 = 88
15 x 6 = 90
178 - 3
175 chairs.
Subtract 175 by 134 and you have the amount of empty chairs.
41 chairs.
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Answer:
<h3>B.
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Step-by-step explanation:
CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.
So, in this case, we have to find the average price for the given basket in year 2.
We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be
Now, the CPI would be the sum of these costs
Therefore, the Consume Price Index for this basket of goods is
B.
Answer:
a) k = 0.0001245 /year
b) The Shroud of Turin is 757.52 years old.
Step-by-step explanation:
a) dC/dt = - KC
dC/C = - kdt
Integrating the left hand side from C₀ to C₀/2 and the right hand side from 0 to t(1/2) (where t(1/2) is the radioactive isotope's half life)
In [(C₀/2)/C₀] = - k t(1/2)
In (1/2) = - k t(1/2)
- In 2 = - k t(1/2)
k = (In 2)/t₍₁,₂₎
t(1/2) is given in the question to be 5566 years
k = (In 2)/5566 = 0.0001245 /year
b) dC/C = - kdt
Integrating the left hand side from C₀ to C and the right hand side from 0 to t
In (C/C₀) = - kt
C/C₀ = e⁻ᵏᵗ
C = C₀ e⁻ᵏᵗ
When C = 91% of C₀ = 0.91 C₀, solve for t
0.91 C₀ = C₀ e⁻ᵏᵗ
0.91 = e⁻ᵏᵗ
e⁻ᵏᵗ = 0.91
- kt = In 0.91 = -0.00943
t = - 0.00943/(-0.0001245) = 757.52 years.