Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
It can help because 9×4 =36, and 9×8=72. if you divide 72 by 2 you get 36 which is the answer to 9 ×4. basically because nine is the same in both problems you are multiplying by 4 (and you know 4 is half of 8) you can assume that multiplying the sum of 4 and 9 that you will get the sum of 8 and 9.
Answer:
B and D
Step-by-step explanation:
The amount A when the principal P is compounded continuously is given by the formula :
![A=P E^{rt}](https://tex.z-dn.net/?f=%20A%3DP%20E%5E%7Brt%7D%20%20)
Here r is rate of interest and t is time .
In the question P=1600 ,r=6.5%=0.065 ,t= 6 years
Substituting these values in the formula
![A=(1600) e^{0.065 times 6}](https://tex.z-dn.net/?f=%20A%3D%281600%29%20e%5E%7B0.065%20times%206%7D%20%20)
A= 1600(1.48)
A=2363.17
Balance after 6years is $2363.17