Answer:
aₙ = a₁ - 6* (n-1)
Step-by-step explanation:
a₁ = 13 = 13 - 6* (1-1)
a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)
a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)
........
aₙ = a₁ - 6* (n-1)
check: a₅ = 13 - 6*4 = -11
Answer:
The number of years needed is 15.75 years.
Step-by-step explanation:
The investment amount (present value) = $200
Interest rate =4.5%
Double of investment = $400
Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.
Future value = present value ×(1+interest rate)^n
400 = 200×(1+4.5%)^n
N = 15.75 years
The number of years required to double the amount is 15.75 years.
Hi there!
Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:
∠A + ∠B = 180°
We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.
∠A = x°
∠B = x° + 30°
The sum is equal to 180°, so:
x° + (x° + 30°) = 180°
Solve for x°.
2x° + 30° = 180°
2x° = 150°
x° = 75°
Thus, ∠A = 75°.
Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.
Answer:
so you graph at (0,2), and go up one, over two for every other point you graph.
Step-by-step explanation:
rise over run.
basically, the m is the slope, and b is the y intercept (where it intersects the y axis).
so when looking at how to graph the line based on 1/2 or any other number, I use rise/run, which is basically telling us tha we need to go up one and over 2 (1/2)
if that makes any sense, let me know if you have any further questions. you got this, youre doing your best!!
slope is the start of your endless pain.
Answer:
x+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically
x+y+2=-5 equation 1
-2x-y+2=-1 equation 2
x-2y-2=0 equation 3
Add equation 1 + 2+ 3
x+y+2=-5 + -2x-y+2+1 + x-2y-2
x+y+2= -7+2+1-2x+x+y
x+y+2= -4-x+y
x+y+2+4+x-y= 0
2x+6= 0
2x= -6
divide both side by 2
x= -3
from equation 1 insert x
x+y+2=-5
since x=-3
then, -3+2+y= -5
-1+y= -5
y= -5+1
y= -4
Step-by-step explanation:
