Answer:
11 years approx
Step-by-step explanation:
Given data
P=$1000
A=2000
R=6.5%
T= ?
Calculate time, solve for t
t = ln(A/P) / r
substitute
t=ln(2000/1000)/0.065
t=ln(2)/0.065
t=0.693/0.065
t=10.66
Hence the time is 11 years approx
Answer:
Slope: -3/4
y-intercept: (0,-5)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
5x - 2y = 17
4x - 3y = 8
Try to change one of the equations to isolate a variable, so you can use the new equation and substitute it into the other equation.
5x - 2y = 17
-2y = 17 - 5x
y = -17/2 + 5/2x
Now plug this into the second equation
4x - 3(-17/2 + 5/2x) = 8
4x + 51/2 - 15/2x = 8
8/2x - 15/2x = 16/2 - 51/2
-7/2x = -35/2
x = 5
Plug this into either equation to find y
4x - 3y = 8
4(5) - 3y = 8
20 - 3y = 8
-3y = -12
y = 4
x = 5, y = 4
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
The formula for point-slope form is y-a=m(x-c), where y and x are variables, a is simply one point in y, m is the slope, and c is simply one point in x. The first thing we can find is m, or the slope. This is found by dividing the change in y over the change in x. The equation for this is (I’ll plug the points in the equation)
Therefore, our answer is the bottom one as our slope is 1/4.
Feel free to ask further questions!
