Step-by-step explanation:





If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.
The domain of the function is all the values from which the functio can be mapped: here it's between 0 and <span>76,867 -depending on how many people come
</span>
The range is all the values that the function can have.So here it's from 0, when noone is coming, to 76867*161=12377036
Answer:
The value of the annuity is $326,852.3766.
Step-by-step explanation:
Here is the required formula to find the present value of annuity:
We can find the present value of annuity:

Here:
P = $50,000
n = represents the number of number of periods
r = 0.11

PV = $326,852.3766
The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.
Keywords: discount rate, present value of annuity
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Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243