Answer:
Uh
Step-by-step explanation:
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<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
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Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:

Interest earned:

Total amount:

He will have $39,750 at the end of five years.
To find this, you have to find your slope with the given x and y values first. Use the equation Y2-Y1/X2-X1 for finding the slope.
4-1/3- -6
3/9= 1/3
Now you know your slope is 1/3, and you can basically assume your third answer listed is correct since none of the other ones contain a positive 1/3 but I will explain how to continue for future use. Next you can use one set of x and y values to plug into the equation y=mx+b, and plug in 1/3 for m as well.
4=1/3(3) + b
4 = 1 + b
-1 -1
3 = b
Now you have your y intercept and your slope, so you can make your equation.
Y= 1/3x + 3
A ton is 2000 lbs. If a polar bear is 1600 lbs then the fractional part of a ton would be...
1600/2000 which will reduce to
16/20 = 4/5