a box contains 8 calculators. it is one-sixth full. if the boxs were full how many calculators would be in the box??
1 answer:
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Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
Answer:
46.46 gallons
Step-by-step explanation:
we know that
An airplane consumes 30.25 gallons of fuel in 2.8 hours of flying
so
using proportion
Find out how many gallons will it consume in 4.3 hours of flying
so. hmm which is it? the +/- ? well, neverminding for a second, the value of tangent, just looking at the sign, the tangent is positive,
tangent = opposite/adjacent.... so that only happens, when both are the same sign, + or - both
now, we know the sine is -1/5.. if the sine is negative, the cosine also has t to be negative, so we'd use the -2√(6) = a
thus