Answer:
1 is the correct answer
Step-by-step explanation:
y2-y1/x2-x1=slope
-2-3/-3-2
-5/=-5
1
Table A only, because as the number goes up one in the x column the number in the y column adds 19 to the previous number
Answer: For the first one, s= -2
Second one, s=-4
Third one, q= -3
Step-by-step explanation:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 0.25 to get that:
The interest is: $150.00
Usually now, the interest is added onto the principal to figure some new amount after 3 month(s),
or 12000.00 + 150.00 = 12150.00. For example:
If you borrowed the $12000.00, you would now owe $12150.00
If you loaned someone $12000.00, you would now be due $12150.00
If owned something, like a $12000.00 bond, it would be worth $12150.00 now.
Let length = l
width = w
length = 3 times width = 3w
Area of the land = 75 sq. m
Area = length × width = 3w×w = 75
3w²=75
w²=25
w=5 m
length = 3×15 = 15m
Now lets make the figure with the path of width x meters
(Refer the attached figure for easy understanding)
The inner length is the length of the rectangle reduced by x meters on either side due to the path
that is 15-x-x = 15-2x
the inner width is the width reduced by x meters in either side
= 5-x-x = 5-2x
Now lets calculate the inner area = inner length × inner width
(15-2x)×(5-2x)
=
= sq. m
Now the function to calculate the cost
f(x) is given by $3.00 × area of the inner land
f(x) = 3 × {75-40x+4x²)
= 225-120x+12x²
or
= 12x²-120x+225