Several examples of side lengths that are Pythagorean triples are the following with the corresponding side lengths A, B, C:
(5, 12, 13), (7, 24, 25), (3, 4, 5)
-E :)
Divide each side by 8.
4 > x
Answer:
$12.96
Step-by-step explanation:
The cost of the item = $12.00
The tax on the item = 12 times 0.08 =$0,96
So the total cost = $12.00 plus $0.96 = $12.96
2.4sqyards= 7.434∈6 sq yards
Answer: About 16 years
Step-by-step explanation:
The formula to find the compound amount if compounded continuously is given by :-
, where P is Principal amount, r is the rate of interest ( in decimal) and t is time ( in years).
Given : P= $1000 ; r= 4.6%=0.046
let t be the time it will take to double the amount, the we have
![2(1000)=(1000)e^{0.046\times t}](https://tex.z-dn.net/?f=2%281000%29%3D%281000%29e%5E%7B0.046%5Ctimes%20t%7D)
Dividing 1000 both sides, we get
![2=e^{0.046 t}](https://tex.z-dn.net/?f=2%3De%5E%7B0.046%20t%7D)
Taking natural log on each side, we get
![\ln2=\ln(0.046\times t)\\\\\Rightarrow\ 0.6931=0.046t\\\\\Rightarrow\ t=\dfrac{0.6931}{0.046}=15.0673913043\approx16\text{ years}](https://tex.z-dn.net/?f=%5Cln2%3D%5Cln%280.046%5Ctimes%20t%29%5C%5C%5C%5C%5CRightarrow%5C%200.6931%3D0.046t%5C%5C%5C%5C%5CRightarrow%5C%20t%3D%5Cdfrac%7B0.6931%7D%7B0.046%7D%3D15.0673913043%5Capprox16%5Ctext%7B%20years%7D)
Hence, it will take about 16 years to double the amount.