Answer:
12 Weeks.
( Is this what you were asking for? <3 )
Answer:
One real root, with multiplicity 7.
Step-by-step explanation:
The given expresion is
This is a seventh degree polynomial.
According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.
This expression has one real root, with multiplicity , 7.
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:
x = -5/21
Step-by-step explanation:
Step 1: Write equation
2(12x - 1) = (21x - 49)/7
Step 2: Solve for <em>x</em>
- Multiply both sides by 7: 14(12x - 1) = 21x - 49
- Distribute 14: 168x - 14 = 21x - 49
- Subtract 21x on both sides: 147x - 14 = -49
- Add 14 to both sides: 147x = -35
- Divide both sides by 147: x = -5/21
The answer would be 198/300. That simplified would be 33/50. If you want a percent, it would be 66%.
