Answer:
$1480.24
Step-by-step explanation:
This will be solved by the formula:
Where
FV is the future value (what we are looking for)
I is the initial amount (which is $1000)
r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)
t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)
<em>plugging the info into the formula we will get our answer.</em>
<em>
</em>
First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8
The slope of the equation is -2.
A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
y = mx + b
The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11
The equation is now,
y = -2x - 11
Or it can also be expresses as:
2x - y = 11
Here's an answer it's number 2
Answer:
x=1200
Step-by-step explanation:
x/3/4=100
Step 1: Multiply both sides by 4.
x/3/4=100
(x/3/4)*(4)=(100)*(4)
x/3=400
Step 2: Multiply both sides by 3.
3*(3/x)=(3)*(400)
x=1200
Answer:
2560 cm³
Step-by-step explanation:
Formula for volume of rectangular prism is length x width x height. So in this case, we're just multiplying:
20 x 8 x 16
160 x 16
= 2560
