Answer : 153 miles
Explanation : first take 134.29 & subtract the 14.95 base fee which give you 119.34 . now divide 119.34 by 78 which gives you 1.53. so he drove 153 miles.
equation : 14.95+ 0.78x = 134.29 . to double check just multiply 153 x 0.78 and add $14.95 which gives us the total of $134.29
Answer:
- <em><u>The reduction is 8.6%</u></em>
Explanation:
Call F the full monthly pension of a person retiring at 62.
If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:
Where r = 6 / 100 = 0.06, and t = number of years after retirement.
<u>For retirement at 65.5</u>:
<u>For retirement at 67</u>:
<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:
Answer:
Step-by-step explanation:
10 Hours
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Let b>a,
a+b=40 so we can say a=40-b
We are told that b-a=6.5, using a found above in the equation gives us:
b-(40-b)=6.5
b-40+b=6.5
2b-40=6.5
2b=46.5
b=23.25, and since a=40-b
a=40-23.25
a=16.75
So a=16.75 and b=23.25
check...
16.75+23.25=40, 40=40
23.25-16.75=6.5, 6.5=6.5
