The question is incomplete:
Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?
10 weeks, $10
10 weeks, $310
9 weeks, $310
310 weeks, $10
Answer:
10 weeks, $310
Step-by-step explanation:
As the statement indicates, you have the following equations:
y=25x+60
y=30x+10
where:
y= the amount of money
x= the amount of time in weeks
You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:
25x+60=30x+10
60-10=30x-25x
50=5x
x=50/5= 10
After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:
-y=25(10)+60=310
-y=30(10)+10= 310
According to this, the answer is 10 weeks, $310.
1. It depends on the form of "c". If we realize that a commission percentage of 10% is identical in value to 0.10, then we can compute the commission as 3600c. If the commission percentage of 7% is given as c=7, then we need to compute the commission as 3600·(c/100) = 36c. We will assume the former.
... (Bart's earnings) = 85 + 3600c
2. The cost of a rental is the base fee plus the mileage charge multiplied by the number of miles:
... (cost of renting) = 60.00 + 0.25m
Answer:
Option A i.e. y = - 3 is not in range of the piece wise function graphed.
Step-by-step explanation:
The range of a function y = f(x) is given by the possible values of y for the possible domain (x-values) of the function.
Now, it is clear from the graph of the function that the value of y never goes below y = - 2.
The graph is drawn in such a way that any value of y less than - 2 and greater than - ∞ is not in the range of the function.
Therefore, option A i.e. y = - 3 is not in range of the piecewise function graphed. (Answer)
283333/100000 would be the answer
Answer:
4
Step-by-step explanation:
Simplify the following:
2^5/2^3
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 2^5/2^3.
Combine powers. 2^5/2^3 = 2^(5 - 3):
2^(5 - 3)
Hint: | Subtract 3 from 5.
5 - 3 = 2:
2^2
Hint: | Evaluate 2^2.
2^2 = 4:
Answer: 4
