P(t+1) = -2
divide by P
Subtract 1
T equals negative 2 over P minus 1
T = -2/P -1
Answer:
35 :
t = 6.25 years
(about 6 years 3 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((2500/2000) - 1) = 6.25
t = 6.25 years
The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
36:
The two distances are the same (out and back), so set them equal.
That is done by having a (rate)(time) equal a (rate)(time).
One time is “x” and the other is “4.8-x.”
One rate is 460 and the other is 500.
460 x = 500 (4.8 -x)
460 x = 2400 - 500x
900 x = 2400
x = 2.5 hours for the slower plane.
4.8- x = 2.3 hours for the faster plane.
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of 
and the second line has a slope of 
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that 
for the first line, which means that the slope of the second line is 
. With this, we have the following equation for our new line:
where 
is the Y-intercept that we now need to determine with the coordinates given in the problem statement, 
:
Finally, we can create our line:
Answer:
1) 2b + 6
2) 8w - 12
3) 2b + 6 + 6x + 20
4) 9w^2 + 27 + 8 - 27
5) Sorry.
Step-by-step explanation:
<h3>
Answer: x-2y = -8</h3>
===========================================
Explanation:
Multiply both sides by 2 to clear out the fraction
y = (1/2)x+4
2y = 2[ (1/2)x + 4 ]
2y = 2*(1/2)x + 2*4
2y = x + 8
Then move the x term over to the left side
2y = x+8
2y-x = 8
-x+2y = 8
Optionally we can multiply both sides by -1
-x+2y = 8
-1*(-x+2y) = -1*8
x-2y = -8
This is in standard form Ax+By = C with A = 1, B = -2, C = -8
The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.
