Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = 9, d = 8 in the equation
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Answer:
5 and 9
5+9=14
5×2=10 which is one more than 9
10-9=1
Answer:
C,20%
Step-by-step explanation:
First we are told that she has 3 hours to grade 35 student papers ,and she has 30 minutes to grade 5 paper, now we calculate how long it took her to grade 1 paper.
Part1
if 5papers = 30minutes
therefore 1paper = (30*1)/5 = 6mins per paper.
now we are left with 2hrs 30mins(150 mins) to grade 30papers
Part2
if 30papers = 150minutes
therefore 1paper = (150*1)/30 = 5mins per paper.
to calculate how fast she has to be in relation to the first part
we substract :
(6mins- 5mins)/ 5mins *100 =1/5 * 100 = 20%.
Investing $1000, compounding the interest once in a year will yield a final Amount of $1,935.28.
Given data
Principal = $1000
Rate = 4.5%
Time = 15 years
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.045/1)^(1)(15)
A = 1,000.00(1 + 0.045)^(15)
A = $1,935.28
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 4.5% per year compounded 1 times per year over 15 years is $1,935.28.
Learn more about compound interest here:
brainly.com/question/24924853
