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Vesna [10]
3 years ago
5

Your brother lends you $125 at an annual interest rate of 25%. If you want to pay no more than $62.50 in simple interest, in how

many years will you need to pay off the loan?
Mathematics
1 answer:
olga55 [171]3 years ago
3 0
We know that the brother lends $125 at annual interest rate of 25% and you don't want to pay more than $62.50 in simple interest. To find out how many years you need to pay off the loan, we do:
Year 1: 125 * 25 = $31.25
Year 2: 125 * 25 * 2 = 31.25 * 2 = 62.50

You have to pay back the loan in 2 years.
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( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify
pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

7 0
3 years ago
23. Which number below could not be used to<br><br><br> PLEASEE HELP!!
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6 0
2 years ago
Find the volume of the cone ! HELP
stich3 [128]

Answer:

628

Step-by-step explanation:

So the formula is πr^2h/3

So the height is 6

pie is 3.14

Substitute:

3.14(10)^2   6/3

3.14(100)(2)

3.14(200)

628

3 0
3 years ago
Find the missing sides from the right-angled triangles given below. Step by step
strojnjashka [21]

Answer:

BD = √13cm, AC = 10c,

Step-by-step explanation:

AB^2 = AD^2 + BD^2\\\\49 = 36 + BD^2\\\\BD = \sqrt{49 - 36} = \sqrt{13}cm\\\\AC^2 = AD^2 +DC^2\\

       =36 + 64\\=100

\\AC = \sqrt{100} = 10cm

6 0
3 years ago
Read 2 more answers
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
frosja888 [35]

Answer:

      1  <u> 5 </u>  <u>10 </u>  <u>10</u>   <u>5</u>   1           Row 5

   1   <u>6</u>   <u>15</u>  <u>20</u>  <u>15</u>   <u>6</u>    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   <u>2</u>  <u>1 </u>                    Row 2

            1   3   <u>3</u>  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   <u>3</u><u> </u>  <u>3</u>  1                   Row 3

         1   4   <u>6</u>   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = <u>1</u>  _  _ _  _  _   <u>1</u>

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   <u>10</u> <u> 10 </u>  5   1           Row 5

   1   6   15  <u>20</u>  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20

3 0
3 years ago
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