Answer:
24
Step-by-step explanation:
I use the Pythagoras theorem.
![\sqrt{a^{2} +b^{2} } =c^{2}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%7D%20%3Dc%5E%7B2%7D)
![4^{2}{x}6^{2} = c^{2}](https://tex.z-dn.net/?f=4%5E%7B2%7D%7Bx%7D6%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
16 x 36= 576
![\sqrt{576} = 24](https://tex.z-dn.net/?f=%5Csqrt%7B576%7D%20%3D%2024)
I’m assuming the answer is HL since they only gave us two letters.
Answer:
7 is the answer
Step-by-step explanation:
2x7=14
Answer:
x=1
Step-by-step explanation:
1) 6x-5y=5
2) 3x+5y=4
ets perform the following operation
1) +2), This leads to the following equation:
6x+3x-5y+5y=5+4
From where we obtain the solution for x
9x=9
x=1
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= ![\frac{3000(0.5759023816)}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%280.5759023816%29%7D%7B0.10%7D)
= ![\frac{1,727.7071448}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2C727.7071448%7D%7B0.10%7D)
= 17,277.071448 ≈ $17,277.07