Answer:
$30,000
Step-by-step explanation:
The capital value is given by
where R(t) is annual rate
r - annual rate of interest
capital value 
= lim at b tend to infinity
=lim at b tend to infinity ![\left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b](https://tex.z-dn.net/?f=%20%5Cleft%20%5B%20%5Cfrac%7B1200%7D%7B-0.04%7D%20e%5E%7B-0.04%20t%7D%20%5Cright%20%5D_0%5Eb)
-30,000 { lim at b tend to inifinity![(e^{-0.04 b) = e^0]](https://tex.z-dn.net/?f=%20%28e%5E%7B-0.04%20b%29%20%3D%20e%5E0%5D)
As
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
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(fg)(x)= 2x^2+10x
Step-by-Step-Explanation:
(fg)(x)=(f(x))(g(x))
(fg)(x)=(2x)(x+5)
(fg)(x)=2x^2+10x
Answer:
1,3 a square = 1,9 b. Yes orthogonal
