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ElenaW [278]
3 years ago
5

Mac deposits $800 in an account that earns 6% simle annual interest. How much money will he have after 3 years?

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

After 3 years Mac will have $992 in his account.

Step-by-step explanation:

Principal amount deposited  = $800

Time  = 3 years

Rate of Interest  =  6%

Now, SIMPLE INTEREST = \frac{P \times R \times T}{100}

So, here S I  = \frac{800 \times 6 \times 3}{100}  = 192

or, Simple Interest on the principal amount = $192

Now, AMOUNT = PRINCIPAL +  SIMPLE INTEREST

                          = $800 + $192

                           = $992

or, the Amount  = $992

Hence, after 3 years Mac will have $992 in his account.

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Find ten rational numbers between -2/5 and 1/2
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Answer:

-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.

Step-by-step explanation:

-2/5 is -0.4 and 1/2 is 0.5

Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)

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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

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=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

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So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

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