Step-by-step explanation:
6 worker do the painting of house = 48 hours
1 worker will take = 48/6 = 8 hours
4 worker will take. = 4× 8 = 32 hours
to paint the house
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Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 11
y1 = 5
x2 = 10
x1 = 4
Slope,m = (11 - 5)/(10 - 4) = 6/6 = 1
To determine the intercept, we would substitute x = 4, y = 5 and
m = 1 into
y = mx + c. It becomes
5 = 1 × 4 + c = c + 4
c = 5 - 4 = 1
The equation becomes
y = x + 1
The standard form is represented as
Ax + By + C = 0
y - x - 1 = 0
Multiplying through by - 1, it becomes
x - y + 1 = 0
Answer: the total lifetime cost for the loan is $11616.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total cost of the loan at the end of t years.
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = $5,500
r = 7.5% = 7.5/100 = 0.075
n = 12 because it was compounded 12 times in a year.
t = 10 years
Therefore,
A = 5500(1 + 0.075/12)^12 × 10
A = 5500(1 + 0.00625)^120
A = 5500(1.00625)^120
A = $11616.4
Answer:
a. f(x) = 21 (20) +1 (25) = 445
b. The scenario is a function because each student just have to pay once.
The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
