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const2013 [10]
3 years ago
12

I have 5 digits my nine is worth 9 x 10000 my two it's worth 2001 of my sevens is worth 70 the other is worth 10 times as much m

y other digit is at 6 what number am i
Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

The number is = 92776

Explanation:

my nine is worth 9 x 10000 , this gives-

9\times10000=90000

my two it's worth 2001 =2 (thousandth place)

sevens is worth 70(tens place) the other is worth 10 times (hundredth place) = 77

my other digit is at 6 =6

Hence, 92776

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Step-by-step explanation:

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To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
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