Answer:
Step-by-step explanation:
12) The amount of the initial deposit is $1000
13) the slope is (y2 - y1)/(x2 - x1)
Slope = (4000 - 3000)/(6 - 4)
Slope = 1000/2 = 500
The y intercept is the value of y when x is zero. Therefore,
y intercept = 1000.
14) The equation of a straight line represented in the slope intercept form is
y = mx + c
Where
m represents slope
c represents intercept
Therefore the equation is
y = 500x + 1000
15) The slope represents rate of change in the amount saved with respect to time in months.
Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph
Answer:
$98.27
Step-by-step explanation:
70.70/100=0.707
0.707x39=27.573
70.70+27.573=98.273
Round to the nearest hundredth
$98.27
Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:
The area of the trapezoid is:
So, the area of the garden is:
1. Find the area of the triangle by using 1/2 bh.
1/2 (34)(15)=255
2. Find the area of the rectangle by using bh.
(10)(24)=240
3. Subtract the areas.
255-240=15
You find that the area of the shaded area is 15
