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kirza4 [7]
3 years ago
14

Explain how the expanded notation method is used to multiply 82×3

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
The expanded notation method breaks a big number up into smaller numbers that're easier to work with. For example, for 82, you should first look at the 8, which is in the tens place (8 x 10), and then the 2, which is in the ones place (2 x 1). So together, 82 is ( (8 x 10) + (2 x 1) ), which equals (80 + 2). Now, you can multiply both 80 and 2 by 3: (80 x 3) + (2 x 3) = 240 + 6 = 246. 
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Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years
Jet001 [13]

Answer:

The value of  annuity is P_v  =  \$ 32058

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 1500

     The  interest rate  is   r =  8\%  =  0.08

     Frequency at which it occurs in a year is  n = 2 (semi-annually )

      The number of years is  t =  22 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ](reference EDUCBA website)

 substituting values

             P_v  =  1500 *  [1  - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]

             P_v  =  1500 *  [1  - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]

             P_v  =  1500 *  [1  - 0.178 ] * [\frac{(1.04 )}{0.04} ]

            P_v  =  \$ 32058

8 0
3 years ago
Solve x=7-2t for t.
yuradex [85]

x=7-2t

Move 7 to the other side. Sign changes from +7 to -7.

x-7=7-7-2t

x-7=-2t

Divide by -2 for both sides

x/-2-7/-2=-2t/-2

x/2+7/2=t

Answer: t= x/2+7/2 or t=7/2+x/2

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OLga [1]

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

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