Answer:
w=6
Step-by-step explanation:
Simplifying
3(2w + 8) = 60
Reorder the terms:
3(8 + 2w) = 60
(8 * 3 + 2w * 3) = 60
(24 + 6w) = 60
Solving
24 + 6w = 60
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 6w = 60 + -24
Combine like terms: 24 + -24 = 0
0 + 6w = 60 + -24
6w = 60 + -24
Combine like terms: 60 + -24 = 36
6w = 36
Divide each side by '6'.
w = 6
Simplifying
w = 6
Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
For this equation, you'll need to set x to 0 and solve from there.
First step is to solve the parentheses and then square the answer. Your equation will look like this:
Next, you will multiply -16 and 1, and then add the product of that by 21. Your answer will be
In short, the ball is thrown from 5 feet above ground.
First you have to find the like terms
3xy + 10xy - 2xy and -5x + 2x
After that you solve for the like terms to find the final answer
11xy-3x