To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]
This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered
Answer:
0.85 pages per minute
Step-by-step explanation:
8 1/2 ÷ 10 = 8.5 ÷ 10 = 0.85
To represent this scenario, you will look at what is happening mathematically and represent it.
Beginning with 5, this will double each day, so 5 x 2 is the deposit.
Then, this amount will double, so (5 x 2) x 2 is the deposit.
Next this will double, and so on.
What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.
y = 5 x 2^x
Answer:
(y+b)/a = x
Step-by-step explanation:
y = ax − b
Add b to each side
y+b = ax − b+b
y+b =ax
Divide each side by a
(y+b)/a = ax/a
(y+b)/a = x
Answer:
We divide both sides by 100000 and we got:
Now we can apply natural logs on both sides;
And then the value of t would be:
And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:
Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means 
and we want to find the value for t.
We divide both sides by 100000 and we got:
Now we can apply natural logs on both sides;
And then the value of t would be:
And rounded to the nearest tenth would be 9.2 years.
