Well first the initial fee would be the x, which is what we have to solve for. Each hour of work is $6, and she does four hours of work. This is equal to $32. The equation would look as follows...
x + 6(4) = 32
Once you have the equation start solving. Use the Pemdas method. First you have to multiply, so now the equation looks as follows...
x + 24 = 32
Now you have to get the x by itself. You do that by subtracting 24 from both sides, because what you do to one side, you do to the other. That will get you to the answer of...
x = 8
In conclusion, Carolina has an initial fee of $8.
Hope this helped.
Answer:
x = 20
y = 10
m∡8 = 110°
Step-by-step explanation:
m∡1 + m∡2 = 180
5x + y + 3x + y = 180
8x + 2y = 180
m∡1 = m∡8 (they are alternate-exterior angles and are congruent)
5x + y = 3x + 5y
2x = 4y
x = 2y
Substitute '2y' for 'x' in 8x + 2y = 180
8(2y) + 2y = 180
18y = 180
y = 10
x = 2(10)
x = 20
m∡8 = 3(20) + 5(10) = 110°
Answer:
$154,763.5
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value
P = present value
r = interest rate
n = number of periods
t = time (years)
P = 97,000
r = 6% = 0.06
n = 365
t = 8 years
A = P(1 + r/n)^nt
= 97,000(1 + 0.06/365)^365*8
= 97,000(1 + 0.00016)^2,920
= 97,000(1.00016)^2,920
= 97,000(1.5955)
= 154,763.5
A = $154,763.5
Answer: The answer is 1/3 because you simplify your answer, and the answer is 1/3
Step-by-step explanation:
