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:

Answer:
The answer is A
Step-by-step explanation:
Given that the equation of line is y = mx + c and the slope is 7 :
y = 7x + c
By substituting the coordinate(8,6) into the equation, in order to find the value of c:
6 = 7(8) + c
6 = 56 + c
c = 6 - 56
= -50
y = 7x - 50
(Hope this can help)
Let x be the original radius. Given that a semicircle will have an arc length of half of a circumference and C=2pr, the arc length will be just pr.
Now the difference of arc is then going to be:
p(6+x)-px
p(6+x-x)
6p inches
So the arc will be 6p inches longer. Or if you wish to approximate...
≈18.85 inches