The length of the base of an isosceles triangle is x. The length of a leg is 4x -3. The perimeter of the triangle is 66. Find x
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Compound Interest Formula:
P = initial investment of 20,000
r = interest rate (What we need to find)
n=number of compounding periods per year (Semiannually means twice per year)
A= Amount after t-years
Okay, let's plug it all in.
41,951 = 20000 (1 + r/2)^2(30)
41,951/20000 = (1 + r/2)^60
(41,951/20000 )^1/60 = 1 + r/2
(41,951/20000 )^1/60 - 1 = r/2
2( (41,951/20000 )^1/60 - 1 ) = r
0.02484539... = r
0.02484 * 100 = 2.48% rounded to the nearest hundredth of a percent
I hope I've helped! :)
<h2>Rewriting Words as Equations</h2>
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
- <em>twice</em> = multiply by 2
- <em>difference</em> = subtract
- <em>'a number'</em> = let this be <em>x</em>
- <em>is</em> = equals
We're given:
- Twice the difference of a number and 6 is 5
⇒ twice = (2 ×)
⇒ difference of a number and 6 = (x - 6)
⇒ is 5 = ( = 5)
- ⇒ 2(x-6) = 5
To solve for <em>x</em>, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x =