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serious [3.7K]
3 years ago
10

Find the amount of compound interest earned with a principal rate of $925, rate of 6%, compounded quarterly, for 8 years with a

final amount of $1489.55
Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

$564.55

Step-by-step explanation:

#First, we determine the effective annual interest applicable given a 6% rate compounded quarterly:

i_m=(1+i/m)^m-1\\\\=(1+0.06/4)^4-1\\\\=0.06136

We know that interest earned is equal to the accumulated value minus the initial investment amount or principal.

-Given the final value is $1489.55 and the initial amount is $925, the interest earned is calculated as;

I=A-P\\\\=1489.55-925\\\\=564.55

Hence, the amount of interest earned is $564.55

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How can I find x? Click for picture.
romanna [79]
Answer:   You add up all the terms given of EACH angle, and make this an addition problem that is "equal to 180" ; since all triangles have three angles that add up to 180 degrees.  Then you solve for "x".
__________________________________________________
(as follows) ;  to get:    " x = 29 ⅔ ° " .
_______________________________________

         3x + 4 + 2x + x + 8 = 180  ;
_______________________________________
Combine the "like terms" ;

         3x + 2x + x = 6x ;

                 4 + 8 = 12

So, we have:  6x + 12 = 180 ;

Now, subtract "12" from each side of the equation:
__________________________________________
  6x + 12 − 12 = 180 <span>− 12 ;
</span>__________________________________________
 to get: 

      6x = 178 ;

Now, divide EACH SIDE of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;
______________________________________
    6x / 6 = 178 / 6 ;

to get:  x = 178/6 = 29 ⅔ ° .
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             x = 29 ⅔ ° .
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6 0
3 years ago
Refer to the figure below to complete the following item,
Aloiza [94]

Answer:

50 degrees

Step-by-step explanation:

3 0
3 years ago
A palindrome is a string whose reversal is identical to the string. How many bit strings of length n are palindromes?
alisha [4.7K]

Answer:

The number of  palindromes is  

      2^{\frac{n}{2} } when n is even and

      2^{\frac{n +1}{2}  } when n is odd

Step-by-step explanation:

From the question we are told that

    The  length of the string is  n

Generally palindrome is evaluated by considering the first part of a string

  When the the length of the string is an even number then

it means that the first part of the string is \frac{n}{2}

Hence the number of  bit strings of length n that are  palindromes is evaluated as

       p(n_{even }) =  2^{\frac{n}{2} }

But When the the length of the string is an odd number then

it means that the first part of the string is \frac{n-1}{2}

Hence the number of  bit strings of length n that are  palindromes is evaluated as

       p(n_{odd }) =2^{\frac{n -1}{2} +1 } = 2^{\frac{n +1}{2}  }

Generally each bit could be either 0 or  1

Hence the number of  palindromes is  

      2^{\frac{n}{2} } when n is even and

      2^{\frac{n +1}{2}  }  when n is odd

           

4 0
3 years ago
consider this system of linear equations: y = –3x 5 y = mx b which values of m and b will create a system of linear equations wi
Blizzard [7]
No solution means that the lines are paralell and have differnt y intercepts

paralell means has same slope

y=mx+b
m=slope
b=yint

given equation is
y=-3x+5
slope=-3
yint=5

paralell so
y=-3x+b
wher b is any number except 5
example
y=-3x+4
y=-3x+√3
y=-3x-π

basically

m=-3
b=any number except 5
7 0
3 years ago
Read 2 more answers
Tony Owens a special pet store that sells only snacks and elephants currently he has a total of 11 snacks and elephants in stock
bagirrra123 [75]

Answer:  There are 8 snake and 3 elephants.

Step-by-step explanation:

Let x= Number of snakes

y= Number of elephants

We know that , snake has no legs elephant has 4 legs.

Then, Total animals = x+y=11  (i)

Total legs = 4y = 12

⇒ y=3   .. (ii)[divide both sides by 4]

Substitute value of y from (ii) in (i) , we get

x+3=11\Rightarrow\ x=8

Hence, there are 8 snake and 3 elephants.

3 0
3 years ago
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