Answer:
Step-by-step explanation:
The formula you need for this is
where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
which simplifies a bit to
. Now we'll divide both sides by 250:
and then take the natural log of both sides to bring that t down out front:
and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Answer:
7 groups, 3 boys and 8 girls
Step-by-step explanation:
Let total number of groups be
and total hikers in one group be
if number of girls and boys in every group is same, then
....(1)
from (1) will either be 11 or 7
for the values won't be real.
For
so there will be 7 groups with 11 hikers in each groups and every group will have boys and
girls
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
