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:

The formula for an infinite geometric sequence is the following:

Just substitute the values of

and r into the formula.



Therefore, the answer is 20.
Answer:
Step-by-step explanation:
cos ^-1(0)=(2n+1) π/2
where n is an integer.
if 0 ≤α ≤2 π
n=0,1
cos ^-1(0)=π/2,3π/2
Answer:
(5,3)
Step-by-step explanation:
x=17-4y
x=17-4x+8
x=25-4x
5x=25
x=5
y=x-2
y=5-2
y=3
(5,3)