IT means that the students prefer doing homework after school more than before school!
<span>7 / 22 = 31.818181818182%
</span>
HOPE I HELPED!
~Tomas
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
Answer:
(4, 2.5)
Step-by-step explanation:
32 models need to make model of 3200.
Given that a 1 model contain 100.
Two series of numbers, usually empirical data, that are proportional or proportional if their respective elements are in constant proportion, called the scaling factor or the rate constant.
One model has 100 elements.
Now, we have to find how many model contains 3200 elements.
So, 1 model=100 elements
n model =3200 elements
We will write this in proportion as
1/n=100/3200
Applying the cross multiply, we get
3200×1=n×100
Divide both sides with 100, we get
3200/100=100n/100
3200/100=n
32=n
Hence, the 32 models contain 3200 elements when one contain 100 elements.
Learn more about proportional from here brainly.com/question/23536327
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