The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)
To solve this problem, you can use the compound interest formula.
Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30
Just solve the equation to find the solution.
Given:
A train travels 288 km at a uniform speed.
If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
To find:
The initial speed of the train.
Solution:
Let x km/h be the initial speed on the train.
New speed of train = (x+4) km/h
We know that,

Time taken by the train initially to cover 288 km is
hours.
New time taken by the train to cover 288 km is
hours.
It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.





Splitting the middle term, we get




We know that the speed cannot be negative. So, the only possible value of x is 32.
Therefore, the speed of the train is 32 km/h.
Answer:

if u substitute the givens in the eqn we will get..

then collect like terms


Answer:
(a) 4
(b) 2/3
Step-by-step explanation:
(a) 4y+3=19
4y=19-3
4y=16
y=4
(b) 12n-3=5
12n=5+3
12n=8
n=8/12
n=2/3