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Nutka1998 [239]
3 years ago
12

suppose that $2,000 is loaned at a rate of 18.5% compounded semi-annually assume that no payments are made find the amount after

3 years​
Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer: 2000(1+0.185/2)to the power of 3/2

= $2283.82

Step-by-step explanation: compounded interest is A= P(1 +r) the to power of N

So assuming semi annually means twice a year

2000(1+0.185/2)to the power of 3/2

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7 miles is what Steve ran 
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Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?
Paraphin [41]

Answer:

33 cards

Step-by-step explanation:

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The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than 4 times the shortest side,
Lubov Fominskaja [6]
Let the shortest side be x.  Then the other two sides will be x+1 and x+2.

Perimeter = P = sum of the lengths of all three sides = x  +  (x+1) + (x+2) 

This perimeter = 4x -1 (1 less than 4 times the shortest side).

Then x + x + 1 + x + 2 = 4x - 1
      or:        3x + 3         = 4x -1                 Subtr. 3x from both sides:
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4 0
2 years ago
A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than
aleksklad [387]

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  13

    The sample mean is  \= x =  9.63

     The standard deviation is  s =  0.585

      The significance level is  \alpha  =  0.05

The Null Hypothesis is  H_o :  \mu = 0

The Alternative  Hypothesis  is  H_a =  \mu < 10

The test statistic is  mathematically represented as

          t =  \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }

Substituting values

          t =  \frac{9.63  - 10 }{\frac{0.585}{\sqrt{13} } }

         t =  -  2.280

Now the critical value for \alpha is  

     t_{\alpha } = 1.645

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

 

 

6 0
3 years ago
How to write 309,099,990 in word
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Three-hundred and nine million, ninety-nine thousand, nine-hundred and ninety
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