Answer: -2.145
Step-by-step explanation:
(3.2+4x)+(18.25+6x)=
Simplifying
(3.2 + 4x) + (18.25 + 6x) = 0
Remove parenthesis around (3.2 + 4x)
3.2 + 4x + (18.25 + 6x) = 0
Remove parenthesis around (18.25 + 6x)
3.2 + 4x + 18.25 + 6x = 0
Reorder the terms:
3.2 + 18.25 + 4x + 6x = 0
Combine like terms: 3.2 + 18.25 = 21.45
21.45 + 4x + 6x = 0
Combine like terms: 4x + 6x = 10x
21.45 + 10x = 0
Solving
21.45 + 10x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21.45' to each side of the equation.
21.45 + -21.45 + 10x = 0 + -21.45
Combine like terms: 21.45 + -21.45 = 0
0 + 10x = 0 + -21.45
10x = 0 + -21.45
Combine like terms: 0 + -21.45 = -21.45
10x = -21.45
Divide each side by '10'.
x = -2.145
Simplifying
x = -2.145
Answer:
a) 
b) It takes 5.390 years to pay off the loan.
Step-by-step explanation:
(a) The differential equation for the variation in the amount of the loan M is
We can express this equation as:
(b) We can calculate this as M(t)=0
It takes 5.390 years to pay off the loan.
Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
Answer:
$1,630
Step-by-step explanation:
Assistant 2 hours: 80-40-25 = 15
YOU: 22 x 40 = $880
ASSISTANT 1: 15 x 25 = $375
ASSISTANT 2: 10 x 15 = $150
880+375+150 = $1,630
Answer:
Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.
Step-by-step explanation:
To find the percent of a score, you divide.
17/25 (division) = 0.68
0.68 is a decimal so to make it a percent you multiply by 100 = 68%
Or you can do it with fractions:
17/25 = ?/100: 68
16/20 = 0.8
Again, 0.8 times 100 = 80%
Or you can do it with fractions:
16/20 = ?/100: 80
He scored more on the spelling quiz, I hope this helps (justification on the answer).
