So to get the $ spent on misc items, just add up the other expenses and subtract it from 3600:

Now to put them into fractions.
Tuition: 
Rent: 
Food: 
Misc: 
Assuming the velocity is as written,
a = 3(2) = 6
If you meant 3(2t+1)⁰.⁴, then
a = 2.4/(2t+1)⁰.⁶
as usual,
s = 25 + 1/2 at²
= 25 + 3t²
or
= 25 + 1.2(2t+1)¹.⁴
Answer:
45 miles.
Step-by-step explanation:
Given that the:
Total distance covered = 390 miles
Total time = 8 hours
Let the distance covered along the local way = L
And the distance covered along the highway = H
Along with local way,
Speed = distance/ time
20 = L / T
T = L /20 .... (1)
Along the highway,
Distance covered H = 390 - L
Let the time = t
Speed = distance/time
60 = (390 - L)/t
t = ( 390 - L)/60
But total time = T + t
That is
8 = L/20 + (390 - L)/60
The LCM at right hand side will be 60
8 = ( 3L + 390 - L )/60
Cross multiply
480 = 2L + 390
Collect the like terms
2L = 480 - 390
2L = 90
L = 90/2
L = 45 miles.
Therefore, the distance Minato drive along local roads is 45 miles
Answer:
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Step-by-step explanation:
For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
97.4% finished:
This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that 
100 runners are chosen at random
This means that 
Find the probability that at least 5 of them did not finish the marathon
This is:

In which









0.1199 = 11.99% probability that at least 5 of them did not finish the marathon