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)
Answer:
The amount driven would be 275, and the cost for both plans will be 77.75$
Step-by-step explanation:
make both equations
y=0.09x+53
y=0.13x+42
set them equal to each other and solve for x to get the distance
take that number and put it in one equation and solve for y to get the price of the plan for that value
Answer:
72.4 seconds
Step-by-step explanation:
We are given that,
Time taken by each person in the team = 18.1 seconds
Number of members in the team = 4
It is required to find the total time taken by the team to finish the race.
Thus, the time taken taken = 4 × 18.1 = 72.4 seconds
Hence. the team finished the race in 72.4 seconds.
Answer:
Maybe 12.56
Step-by-step explanation:
Well, the question is a bit hard to read, but I assume the radius is equal to 2?
The formula for the area of a circle is п*r*r
The number п is equal to 3.14
so п*2*2 = 3.14*4 = 12.56
Though if the radius is not 2, try to use that formula and if you cant get it please let me know in the comments
Answer:
$50 + ($30 x 12) = $410
Step-by-step explanation:
