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: 0.9088
Step-by-step explanation:
Given : 
Let x be a random available that represents the proportion of students that reads below grade level .
Using 
, for x= 0.36 , we have
Using standard normal z-value table,
P-value 
[Rounded yo the nearest 4 decimal places.]
Hence, the probability that a second sample would be selected with a proportion less than 0.36 = 0.9088
Answer:
6y+44
Step-by-step explanation:
Answer is A
point slope form is y-y1=m(x-x1)
Answer:
7/10
Step-by-step explanation:
