Answer:
4
Step-by-step explanation:
you can get a lot more than just the
8 (4+n)= -56
32+8n= -56
8n= -56-32
8n= -88
8/8n= -88/8
n= -11
Answer:
The coordinates of k are (-2,-1)
Step-by-step explanation:
Here, we are interested in calculating the coordinates of point k.
Mathematically, we will use the internal division formula for this;
This would be;
(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where m = 1 , n = 4
x1 = -2 , x2 = 8
y1 = -4 , y2 = 11
we now make the substitutions into the formula;
(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)
(x,y) = (-8-2)/5 , (-16 + 11)/5
(x,y) = -10/5 , -5/5
(x,y) = (-2, -1)
Answer:
$62,490.65
Step-by-step explanation:
If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...
FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)
where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...
FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65
Angelica's account balance after 15 years will be $62,490.65.
_____
If her deposits are at the end of the month, the balance will be $62,347.25.