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Korvikt [17]
3 years ago
5

If you invest x dollars at 3% intrest compounded annually ,then the amount A (x) of the investment after one year is A(x)=1.03x.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0


The "compound amount" formula is A = P(1+r)^t.

Here, the Amount  A(x) is (x)(1+0.03)^1= 1.03x.

Please be clearer about what you are asking here.  I assume you just wanted to be told that you are right.

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The value of E [Z]  is 0.50.

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E(X)=\sum x\cdot P(X= x)

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X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.

The probability of rolling a 4 in the three dices are as follows:

P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}

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E(Z)=E(I_{1})+E(I_{2})+E(I_{3})

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Thus, the value of E [Z]  is 0.50.

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