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weeeeeb [17]
4 years ago
6

You want to have $40,000 for a down payment on a house 4 years from now. if you can earn 5.6 percent, compounded annually on you

r savings, how much do you need to deposit today to reach your goal?
Mathematics
1 answer:
NeX [460]4 years ago
8 0
You need a compound interest formula solved for principal:
Principal = Total ÷ (1 + Rate)<span> ^ years
</span><span>
Principal = 40,000,/ (1.056) ^ 4
</span><span><span><span>Principal = 40,000 / 1.2435282985 </span> </span> </span>
Principal = <span> <span> <span> 32,166.54 </span> </span> </span>
So, 32,166.54 deposited for 4 years at 5.6% interest (compounded annually) produces $40,000.

Source:
http://www.1728.org/compint2.htm


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13. Solve the following:<br> a. 2.68 - 1.44 =<br> b. 5.05 X 0.04 =<br> c. 5.144 = 1.6 =
AURORKA [14]
A) 1.24 B) 0.202 and C) 3.215.
6 0
3 years ago
Read 2 more answers
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
Kisachek [45]

Answer:

x = 134

Step-by-step explanation:

Given that,

Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.

We know that,

The sum of interior angles of a hexagon must equal 720 degrees.

So,

119+129+104+139 +95+x = 720

Where

x is the sixth angle

So,

586+x=720

x = 720-586

x = 134

So, the sixth angle is equal to 134.

5 0
3 years ago
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
3 years ago
Abi is carrying 3 gallons of milk. Each gallon of milk weighs 8.6 pounds. Abi wants to know the total weight of milk he is carry
Vesna [10]

Answer:

25.8 pounds

Step-by-step explanation:

3 x 8.6 = 25.8

6 0
3 years ago
How do u find average rate of change
xenn [34]
To find the average rate of change, its a secant line. 
5 0
3 years ago
Read 2 more answers
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