2 would be the correct answer:)
Answer:
(1, -7)
Step-by-step explanation:
the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1
you do the same for -9 and -5, the midpoint for those being -7, I hope this helps
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
Answer:
0.3 = 3/10 = 30%
Step-by-step explanation:
The reading of the number as "three tenths" tells you how to write the fraction:
0.3 = 3/10
You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...
0.3 = 0.30 = 30/100 = 30%
0.3 = 3/10 = 30%
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
