Answer:
1 : 12 : 4
Step-by-step explanation:
Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...
A = G +12
C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"
A + G + C = 68
Substituting for G and C, we have ...
A + (A -12) +(3A) = 68
5A = 80 . . . . . add 12
A = 16 . . . . . . . divide by 5
The other ages are then ...
G = A-12 = 16 -12 = 4
C = 3A = 3·16 = 48
The ratios are ...
G : C : A = 4 : 48 : 16
G : C : A = 1 : 12 : 4
By long division.Feel free to ask me if you don't know: )
Answer:
The simplest EXACT answer is
.
A decimal form of this is approximately 5.207.
Step-by-step explanation:
Use the distance formula.
Total = Principal × ( 1 + Rate ) ^ years
(Solved by taking logarithms)
Years = log (total / principal) / (log (1 + rate))
Years = log (684 / 600) / (log 1.07)
Years = log (1.14) / (log (1.07)
Years = 0.0569048513364726 / 0.0293837776852097
Years = 1.9366077414