Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:You would have to use over 200 minutes in a month in order for the second plan to be preferable.
Step-by-step explanation:
Let x represent the number of minutes that you use in a month.
The first plan charges a rate of 25 cents per minute. It means that the cost of using x minutes in a month with this plan is 0.25x.
The second plan charges a monthly fee of $29.95 in addition to 10 cents per minute. It means that the cost of using x minutes in a month with this plan is
29.95 + 0.1x
For the second plan to be preferable, its cost would be lesser than the first plan. Therefore,
29.95 + 0.1x < 0.25x
29.95 < 0.25x - 0.1x
29.95 < 0.15x
0.15x > 29.95
x > 29.95/0.15
x > 200
Answer:
AD=AB
Step-by-step explanation:
3x-5=x+1
It's a square
You solve for x then plug it back in
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
![ln(2)=ln[(e)^{0.036t}]](https://tex.z-dn.net/?f=ln%282%29%3Dln%5B%28e%29%5E%7B0.036t%7D%5D)
Applying property of exponents
![ln(2)=[0.036t]ln(e)](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5Dln%28e%29)
Remember that ln(e) =1
![ln(2)=[0.036t]](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5D)
![t=ln(2)/[0.036]](https://tex.z-dn.net/?f=t%3Dln%282%29%2F%5B0.036%5D)
