<h3>Answer: 7366.96 dollars</h3>
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Use the compound interest formula:
A = P(1+r/n)^(n*t)
where in this case,
A = 12000 = amount after t years
P = unknown = deposited amount we want to solve for
r = 0.05 = the decimal form of 5% interest
n = 1 = refers to the compounding frequency (annual)
t = 10 = number of years
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Plug all these values into the equation, then solve for P
A = P(1+r/n)^(n*t)
12000 = P(1+0.05/1)^(1*10)
12000 = P(1.05)^(10)
12000 = P(1.62889462677744)
12000 = 1.62889462677744P
1.62889462677744P = 12000
P = 12000/1.62889462677744
P = 7366.95904248911
P = 7366.96
Answer:
y-coordinate = 0
Step-by-step explanation:
Consider the below diagram attached with this question.
Section formula:
If a point divides a line segment in m:n whose end points are 
and 
, then the coordinates of that point are
From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.
Using section formula, the coordinates of that point are
Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.
Step-by-step explanation:
y=mx+c
Take c from both sides:
y-c = mx
Divide both sides by m:
(y-c) / m =x
Now swap sides to make it prettier:
x = (y-c) / m
Everything that is not in B.
8. 15. 13
Answer:
18x^2 - 9
Step-by-step explanation:
y = f(x)= 6x^3 - 9x + 4
dy/dx = d/dx(6x^3) - d/dx(9x) + d/dx (4)
=6.d/dx(x^3) - 9.d/dx (x) + d/dx. (4)
=6.3x^2 - 9.1 + 0 =18x^2 - 9
