Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have
A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is
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Answer:
It will take about 35.439 years to triple.
Step-by-step explanation:
Recall the formula for continuously compounded interest:
where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).
Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:
Now,in order to solve for "t" (which is in the exponent, we use logarithms: