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FinnZ [79.3K]
3 years ago
5

Please answer ASAP! In the situation, simple interest is calculated yearly. How much interest was earned? Principal: $5500; Time

: 8 years; Interest rate: 2.5%; Interest?
A.$137.50
B.$1,100
C.$5,500
D.$6,600
E.$44,000
Mathematics
1 answer:
ollegr [7]3 years ago
7 0
Hello,

Shall we begin?

prinicipal= 5.500
time= 8 years
tax= 2.5% per year
j= <span>interest=?
</span>
j = cit
j = 5.500 * 0,025 * 8
j = 1.100

Answers: interest 1,100.00 B
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If triangle ABC is similar to triangle DEC, find the values of x and y.
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The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

           From ΔABC,

                    AB= 6

                    BC= 10

                    AC = x

           From ΔDEC,

                    CD= 28

                    DE= 21

                    CE = y

Step:1

        Pythagoras theorem from  ΔABC,

                    BC^{2}=AB^{2} + AC^{2}...............(1)

       Substitute the values,

                   10^{2} = 6^{2} + AC^{2}

                  100 = 36 + AC^{2}

                   AC^{2} = 100 - 36

                           = 64

                    AC = \sqrt{64}

                    AC = 8

                  AC = x = 8

Step:2

        Pythagoras theorem for ΔDEC,

               CE^{2} = CD^{2}  + DE^{2}................(2)

       From the values,

              CE^{2} = 28^{2} + 21^{2}

             CE^{2} = 784 + 441

                     = 1225

              CE = \sqrt{1225}

              CE = 35

             CE = y = 35

Result:

         The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

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3(x+8)
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The ladder extends 9 feet up the side of the building.

5 0
3 years ago
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