Absolute value of -12 and -15
2 answers:
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Answer:
He earned $114 in interest.
The final amount in the account is $874
Step-by-step explanation:
Initial balance (b): $760
Interest rate (i): 0.05
Period (n): 3 months
Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:
The final amount (A) in the account is the initial balance plus the interest earned in 3 months.
He earned $114 in interest and the final amount in the account is $874
First. get the unit rate. That is, transform "Ten people can dig five holes in three hours" into "One person digs one holes in one hour."
We can say that
(that's still for 10 people). For 1 person this rate will be 1/10th of the above, so:
So the unit rate is 5/30. We can now set up an equation expressing the number of holes "m" dug up by "n" people in "d" hours:
which is clearly linear in n and d.
Now we can answer the questions:
(1) Is n proportional to m when d=3? Answer: Yes
which shows that n is proportional to m in this case.
(2) Is n proportional to d when m=5? Answer: No
There is an inverse proportionality, therefore this is not proportional.
(3) Is m proportional to d when n=10? Answer: Yes
There is a proportional relationship between m and d.