Answer:The answer is x=84
Step-by-step explanation:
The lines p and f are parallel and t is the transverse line
Here the corresponding angles are equal
i.e. the angle made by the transverse line with each of the parallel line
is equal
So in fig 1 -60
fig 2 -124
fig 3 -135
So x=84 [corresponding angles are equal]
Answer:
197.2 million
Step-by-step explanation:
The appropriate exponential equation for the population is ...
p(t) = 172.0e^(0.019t)
Then we can compute for t=7.2:
p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2
7.2 minutes from now, the population will be about 197.2 million.
___
For continuous growth (or continuous compounding), the exponential formula is ...
f(t) = (value at t=0)×e^(rt)
where r is the growth rate in one unit of time, and t is the number of time periods.
You're looking for the time
that it takes for the principal
to double, so
. Dividing both sides of the formula by
leaves you with
You're given that the account earns 0.75% interest and that the interest is compounded monthly, so
and
.
The value of the length of the rhombus will be found as follows:
cos θ=adjacent /hypotenuse
θ=108/2=54°
adjacent = 9/2=4.5 inch
hypotenuse=length of the rhombus
thus
cos 54=9/x
x=4.5/cos 54
x=7.6558~8 inches
the answer is 8 inches
