A cellphone company charges $60 for a cellphone and a monthly rate to use the phone.Regina will pay $1,140 for a 24-month cellph
1 answer:
The monthly rate is $45 for this cellphone plan.
Step-by-step explanation:
Given,
Amount charged for cell phone = $60
Amount paid by Regina for 24 month plan = $1140
Number of months = 24
Let,
m be the monthly rate for cellphone plan
Number of months * Monthly rate + cellphone charges = Amount paid
Dividing both sides by 24
The monthly rate is $45 for this cellphone plan.
Keywords: subtraction, division
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Answer:
The statement is true for every n between 0 and 77 and it is false for
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0:
For n=1:
From this point we will assume that
As we can see, and
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because ,
Observe that, because and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute for 77 and 78 you will obtain: