Answer:
The number of buyers on the first day was approximately 324.
Step-by-step explanation:
In this case we have a initial number of shoppers "C" that we want to know and this grows at a steady rate of 20% per day, like a compound interest, we also know the total number of shoppers after 4 days, so we have the final amount of shoppers. We can use the formula for compound interest in order to calculate the number of shoppers in the first day as shown bellow:
M = C*(1 +i)^(t)
Where M is the total amount of shoppers, i is the growth rate and t is the time elapsed.
671 = C*(1 + 0.2)^(4)
671 = C*(1.2)^4
671 = C*2.0736
C = 671/2.0736 = 323.5918
Since there can't be a 0.59 buyer, we will round the number to 324.
This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
Answer:
c. x > 6
d. λ = 3/100
Step-by-step explanation:
c. You have the idea for the necessary equation:
speed = wavelength·frequency
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The inequality is x > 6.
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d. If λ represents the wavelength in nanometers, the range restriction can be written ...
2/100 < λ < 5/100
A possible value of λ is 3/100.
Answer:
3 days
Step-by-step explanation:
Answer:
10 pieces
Step-by-step explanation:
Total no. of pieces of calzone = 24
No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.
No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.
Total no of pieces eaten by both of them on saturday = 12.
No of pieces of calzone left = 24-12 = 12
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No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone left= 1/6 of 12 = (1/6)*12= 2 pieces
No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.
Thus 10 pieces of original calzone are left .