Answer:
Gross pay for each day is 5h + 8 dollars.
Step-by-step explanation:
Given:
Number of days = 7
Gross pay for 7 day = 35h+56 dollars.
We need to find the gross pay for each day
Also given Harriet earns the same amount of money each day.
Hence
For 7 days = 35h + 56 dollars
for 1 day = gross pay for each day.
By using Unitary method we get;
Gross pay for each day =
Hence gross pay for each day is 5h + 8.
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =