Answer:
Sharla has more, by $2000.
Step-by-step explanation:
Company B has 30000+2400x.
Company C has 36000+2000x.
Since we know x is equal to 10, because they have been working from the last ten years, we plug in 10 at where the x has been.
Company B: 30000+2400(10)
Company C: 36000+2000(10)
Let's first solve for B.
30000+2400(10)= 30000+24000=54000.
So, Paul earned $54000.
Next, Let's solve for C.
36000+2000(10)= 36000+20000=56000.
Sharla earned $56000.
It is obvious that sharla has more, so we will find the difference between the earnings of two companies.
56000-54000=2000.
So, Sharla has more earnings, with $2000 more than Paul.
Answer:
dy/dx = -1/√(1 - x²)
For 0 < y < π
Step-by-step explanation:
Given the function cos y = x
-siny dy = dx
-siny dy/dx = 1
dy/dx = -1/siny (equation 1)
But cos²y + sin²y = 1
=> sin²y = 1 - cos²y
=> siny = √(1 - cos²y) (equation 2)
Again, we know that
cosy = x
=> cos²y = x² (equation 3)
Using (equation 3) in (equation 2), we have
siny = √(1 - x²) (equation 4)
Finally, using (equation 4) in (equation 1), we have
dy/dx = -1/√(1 - x²)
The largest interval is when
√(1 - x²) = 0
=> 1 - x² = 0
=> x² = 1
=> x = ±1
So, the interval is
-1 < x < 1
arccos(1) < y < arxcos(-1)
= 0 < y < π
Answer:
Step-by-step explanation:
The vertical displacement function is 
, where 
is measured in meters and 
in seconds. Ball hits the ground when 
. That is:
Whose roots can be found by using the General Formula for Second-Order Polynomials:
Solutions of this polynomial are:
Only the first root is physically consistent.
Answer:
Amoeba is a single celled eukaryotic organism, found in the water body. These organisms have a false feet called as pseudopodium. It helps in the locomotion and captures food from the external environment. The organism does not exhibit a well defined shape. It has organelles like nucleus and vacuoles surrounded by cytoplasm. The food being captured by psuedopodium is engulfed inside a vacuole. It reproduces by the process of asexual reproduction called as binary fission. The genetic material replicates by the mitotic division, then the cell divides into two equal daughter cells. The amoeba obtains energy from food, and it uses this energy to move, capture food and reproduce.
A clock is a non-living thing. That displays time. It has three needles or hands, the bigger hand displays hour, the small one displays minutes and the thin needle displays seconds. These hands or needles uses energy from a cell or battery.
Characteristics features of amoeba are as follows:
Uses energy
Has internal organization
Characteristics features of clock are as follows:
Uses energy
Contains cells
Lacks genetic material reproduces
Has a defined boundary
Has internal organization
Step-by-step explanation:
30 gallons * 5 = 150 gallons
3 quarts * 5 = 15 quarts
1 pint * 5 = 5 pints
Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts
2 pints in a quart: 5/2 = 2 quarts, 1 pint
2 quarts + 2 quarts = 1 gallon
150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.
