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shutvik [7]
3 years ago
7

Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in eac

h account if, after one year, the total interest was $2,560.00
Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

     -0.02x - 0.02y = -520

(+)    0.14x + 0.02y = 2560

-------------------------------------

       0.12x              = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

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son4ous [18]

\color{pink} \rule{500pt}{100000000pt}

3 0
2 years ago
The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4
Nataly [62]

Answer:

Base of the original triangle is 12 cm.

Step-by-step explanation:

Let base of triangle be x  

two equal legs  of triangles by y

therefore perimeter of triangle

                       x+y+y = 50 or x+2y =50

according to the question

 if base is x+3 and leg is y-4

then both are equal

   that is x+3 = y-4

            y-x = 7 or y =x+7

   x+2y =50

   x+2(x+7) = 50

    x+2x +14 =50

     3x +14 =50

     3x = 50 -14

      3x = 36

      x = 12

therefore base of the original  triangle is 12 cm                    

6 0
3 years ago
How many diagonals can be drawn from each vertex of a 15-gon?
tangare [24]

Answer:

Correct option: third one -> 12

Step-by-step explanation:

In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.

If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.

Correct option: third one

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Answer:

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Step-by-step explanation:

4 0
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At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance?
jeka57 [31]
Debt is negative dollars, which means she owes at least 25 dollars to the department store

her balance is -25.00 + x

hope this helps

or -25 >x


5 0
3 years ago
Read 2 more answers
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