Answer:
Step-by-step explanation:
1
the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level
2
write the mixed numbers as improper fractions
3
get common denominator
4
add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number
Answer:
See below.
Step-by-step explanation:
Base case:
Replace n with 1.
7^(2×1+1)+1
7^3+1
343+1
344
8 is a factor of 344 since 344=8(43).
Induction hypothesis:
Assume there is some integer n such that 7^(2k+1)+1=8n for positive integer k.
7^(2[k+1]+1)+1
7^(2k+3)+1
7^(2k+1+2)+1
7^(2k+1)7^2+1
49×7^(2k+1)+1
Induction step:
49×(8n-1)+1
49(8n)-49+1
49(8n)-48
8[49n-6]
This means 8 is a factor of 7^(2(k+1)+1)+1.
Thus, this proves for all positive integer n that 8 is a factor of 7^(2n+1)+1.
Answer:
<u>$71.33</u>
Step-by-step explanation:
An automobile warranty costing = $856
It is required to make 12 equal payments
So, we need to divide $856 over 12
So, the average payment = 856/12 = $71.33
