<h3>The final amount is $ 6881.71</h3>
<em><u>Solution:</u></em>
<em><u>The formula for compound interest, including principal sum, is:</u></em>
Where,
A = the future value of the investment
P = the principal investment amount\
r = the annual interest rate in decimal
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 4000
t = 5
n = 4 ( compounded quarterly )
<em><u>Substituting the values in formula,</u></em>
Thus the final amount is $ 6881.71
9514 1404 393
Answer:
$32,528.58
Step-by-step explanation:
For simplicity, we'll assume each year has 365 days.
The future value A of principal amount P at rate r compounded daily for t years is ...
A = P(1 +r/365)^(365t))
We want P when A = 80,000, r = 0.075, and t = 12.
P = A/(1 +r/365)^(365t)
P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58
You will have to deposit about $32,528.58.
Answer:
Here's a quick sketch of how to calculate the distance from a point P=(x1,y1,z1)
P
=
(
x
1
,
y
1
,
z
1
)
to a plane determined by normal vector N=(A,B,C)
N
=
(
A
,
B
,
C
)
and point Q=(x0,y0,z0)
Q
=
(
x
0
,
y
0
,
z
0
)
. The equation for the plane determined by N
N
and Q
Q
is A(x−x0)+B(y−y0)+C(z−z0)=0
A
(
x
−
x
0
)
+
B
(
y
−
y
0
)
+
C
(
z
−
z
0
)
=
0
, which we could write as Ax+By+Cz+D=0
A
x
+
B
y
+
C
z
+
D
=
0
, where D=−Ax0−By0−Cz0
D
=
−
A
x
0
−
B
y
0
−
C
z
0
.
This applet demonstrates the setup of the problem and the method we will use to derive a formula for the distance from the plane to the point P
P
.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given
Half life of radioactive substance is 
Initial amount 
Amount left at any time is given by
It takes 26.4 days to reach 2 gm.
Answer:
n = 9
Step-by-step explanation:
Note that
256 = 
, thus
=
Since the bases on both sides are equal (2) equate the exponents
n - 1 = 8 ( add 1 to both sides )
n = 9
