After first week pond will be:
10 + 10* 0.03 = 10*(1.03) feet deep
after second week it will be:
10*(1.03) + 10*(1.03)*0.03 = 10*(1.03)^2
from this we can conclude that after x week its will be:
10*(1.03)^x
Note that when second week starts our starting pond is already greater by 3%. every week we add 3% of prevous weeks size of pond
for x = 8 we get
f(x) = 10*(1.03)^8 = 12.66 or rounded 13 feet
Answer is D.
21/2 is the answer I think!
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
