Time taken for the amount deposited to grow to $5000 will be found as follows:
A=P(1+r/100*n)^nt
where:
A=amount
P=principle
r=rate
n=number of terms
t=time
thus plugging in our values we have:
5000=3587.39=(1+4.2/200)^2t
solving for t we have:
1.393771=1.021^2t
2t=ln1.393771/ln1.021
2t=16.111
t=8.055685 years~8 years
Answer:
Option B. 8 mi, 9 mi, 2 mi
Step-by-step explanation:
The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed
Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11
Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes
Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle
Bob76 this is a really good answer. I don't know much about this though.
Y=5x
Explanation:
You would take two points and use the slope formula
Y2-y1/x2-x1
So I took the points (0,0) and (1,5)
5-0/1-0
5/1
5= the slope
So now we know y=5x+b and since it shows us on the graph where the line crosses the y axis we know the y intercept will be zero because it crosses at 0. When the y-intercept is 0 we don’t even need to list it.
I hope this helps you
x.x-2.3x+9-21=0
(x-3)^2-21=0
(x-3)^2=21