Answer:
Step-by-step explanation:
Answer:
Principal = $1800
Step-by-step explanation:


59400/33 = p
1800 = p
Answer:
explicit formula for an, the nth term of the sequence 19,24,29

Step-by-step explanation:
We need to Write an explicit formula for an, the nth term of the sequence 19,24,29
In the sequence the First term a₁= 19
Common Difference d= 5
The Formula used for explicit formula is: 
Where d is common difference and n is nth term of sequence.
So, explicit formula for an, the nth term of the sequence 19,24,29

Answer:The line x=5
Step-by-step explanation:
Asymptote of a function means the straight line closest to some part of the function which tends to ∞ or -∞. We know that ln x or log x has asymptote x=0. Here , the function is f(x) = log 3(x-5), so, the vertical asymptote will be the line x =5.
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.