1/9 = 1.11
29/8 = 3.63
-------
3.73 = 269/72
or....
1/9 >>> 8/72 (72 is the common denominator) (Multiply the N and D by 8)
29/8 >>> 261/72 (72 is the common denominator) (Multiply the N and D by 9)
-------------
269/72
Answer:
BC ≈ 14.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin65° =
=
=
( multiply both sides by 16 )
16 × sin65° = BC , then
BC ≈ 14.5 cm ( to the nearest tenth )
Answer:
Answer is 24 and 40.
Step-by-step explanation:
I'm not quite sure if i'm wrong i'm terribly sorry :(
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:

You would start by saying his budget is $80 so you start with 80= he pays an initial fee of $59.50 every month plus $5 per gigabyte so you would set it up like
80=59.50+5x
X being how many gigabytes he uses then you solve 80-59.50 is 20.5 divided by 5 gives you 4.1 but you round down cause you don’t want to pass the limit so therefor the most gigabytes he can use is 4