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Answer:
Clyde is 49.74 away from the harbor
Step-by-step explanation:
Here in this question, we are interested in knowing the distance of Clyde from the harbor.
The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.
We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.
To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.
Let’s call the distance we want to calculate h.
Mathematically;
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
Answer:
the rate of change of James’ salary is $845 dollars per year
y = 845x + 66640
the value of James’ salary in 23 years=$86,075
Step-by-step explanation:
Let x = the years worked and y = Salary in dollars
When x=0 then y = 66640
when x= 8 then y = 73400
Two points are (0,66640) and (8,73400)
Rate of change of salary is the slope
To find slope we use formula
the rate of change of James’ salary is $845 dollars per year
Slope intercept form of equation is y=mx+b
m = 845 , b is the y intercept (initial salary)
so y = 845x + 66640
Now we find out salary in 23 years
plug in 23 for x in the y equation
y = 845x + 66640
y = 845(23) + 66640=86075
the value of James’ salary in 23 years=$86,075