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Alex17521 [72]
3 years ago
13

Ed Sloan invests $1,600 at the beginning of each year for eight years into an account that pays 10% compounded semiannually. The

value of the annuity due is (use the tables in the handbook):
Mathematics
2 answers:
allochka39001 [22]3 years ago
7 0
FV=PV(r+1)ⁿ
FV=Future value, or your amount of money you're going to have after 8 years.
PV=Present value, or the amount of money you have just invested.
APR=10
FV=1,600(10+1)¹⁶
FV=1,600(11)¹⁶
FV=1,600(176)
FV=$281,600
Zina [86]3 years ago
4 0

Answer:

The answer is: $39,748.80

Step-by-step explanation:

The principle amount is p = $1600  

rate is 10% or 0.10 but as its compounded semiannually it becomes,

\frac{0.10}{2} = 0.05  

n = 8\times 2 =16

Formula is :

p\frac{(1+r)^{n}-1 (1+r)}{r}

Putting values in formula we get

\frac{1600(1+0.05)^{16}-1(1+0.05) }{0.05}

\frac{1600(1.05)^{16}-1(1.05) }{0.05}

\frac{1600*(2.183-1)(1.05)}{0.05} = 39748.80

The value of the annuity due is $39,748.80

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The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

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Find a power series representation of e^x sin(x)
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Do this successively to n = 6.
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<span>The <u>correct answer</u> is:

A) 60% ± 18%.

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First we <u>find the value of z</u>:

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Subtract from 1 again:
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Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
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