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Kipish [7]
3 years ago
14

The perimeter of an equillateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.

Mathematics
2 answers:
avanturin [10]3 years ago
6 0
Since all sides are congruent, the perimeter is 3 times the length of 1 side.

3(4x - 3) = 63

Divide both sides by 3:

4x - 3 = 21

Add 3 to both sides:

4x = 24

Divide both sides by 4:

x = 6
Nat2105 [25]3 years ago
4 0
Hello there,
1 side= (4x-3)
3 sides= (4x-3)3
           = (12x-9)
To find the value of x,
12x-9= 63
12x= 63+9
12x=72
x=6

On side note: Remember to change the sign when it crosses the equal sign. (for example: -2 will become 2 once it crosses the equal sign)

Hope this helps:))

~Top
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Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
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Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

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Step-by-step explanation:

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