Answer with explanation:
Presume that, initial water level to be, 0 mm, at a time t=0.
And water level is rising at the rate of 
.
After 6.2 years level of water will be =1.8 × 6.2
=11.16 mm
→Averge, that is increase in water level after 6.2 years is given by
→→Rate of Depreciating of water level is given by = Negative of Increase of water level=
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Answer:
14
Step-by-step explanation:
Combine like terms first:
2x + 16 = 4x - 12
-2x + 16 = -12
-2x = -28
Next, you need to get x by itself, so you would divide both sides by the coffeficant in front of x- which in this case is -2-.
-2x = -28
x = 14
Answer:
32.07%
Step-by-step explanation:
53 total
36 completed
Remaining = 53 - 36 = 17
17/53
= 0.3207
= 32.07%
Answer:
Step-by-step explanation:
Your generic line will be 
, so you'll need two condition.
Since it has to be perpendicular to 
, the product of the slopes needs to be -1, or 
, hence your "generic" becomes 
. Since it has to pass through [/tex](-5;-4), let's put the coordinates in there: 
your line becomes
