The train travel 20 kilometers in the southward direction to reach its original location.
Step-by-step explanation:
The given is,
First train travels east for 50 kilometers, then
Turns north and travels for 22 kilometers
It goes west for 50 kilometers
Step:1
Let, A - Distance of train travels from its starting point in Eastern direction at pq point
B - Distance train travels in northward direction at qr point
C - Distance of train travels in western direction at rs point
D - Distance of train travels in southward direction to reach its starting location at sp point
Step:2
Refer the attachment,
Distance of travel in northward direction and distance of travel in southward direction are equal.
qr = sp.............. (1) ( ∵ Eqn (1) from the Diagram)
20 km = 20 km
sp = 20 km
Result:
So, the distance of train travel to reach its original location in southward direction is 20 km.
0.833333… it goes on forever
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Answer:
b= 10 miles/hr and c= 5 miles/hr
Step-by-step explanation:
Let it's downstream and upstream speed be d and u respectively
also speed of the boat be b and speed of stream be c.
as per question d = 150/10= 15 miles/hr
and, u= 150/30= 5 miles/hr
also we know d= b+c = 15.....i and u = b-c= 5....ii
solving i and ii we get b= 10 miles/hr and c= 5 miles/hr
Making larger monthly payments than required will pay off a loan faster. Thus, the answer is A.