Answer:
PT = 1.5 , VT = 1.5√3
Step-by-step explanation:
Given
PV = 3
With reference angle 60°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 60° = p/h
√3 / 2 = p / 3
p = √3 * 3 / 2
p = 1.5√3
With reference angle 30°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 30° = p/h
1/2 = p/ 3
p = 1.5
Hope it will help :)❤
8 is the answererrr :))))))
Answer: 9.9 years.
Step-by-step explanation:
If interest is compounded continuously, then formula to compute final amount A =
, where P =initial amount, r= rate of interest , t=time.
Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600
Substitute all values in formula
![73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}](https://tex.z-dn.net/?f=73600%3D61000e%5E%7B0.019t%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7B73600%7D%7B61000%7D%3De%5E%7B0.019t%7D%5C%5C%5C%5C%5CRightarrow%5C%201.20655738%3De%5E%7B0.019t%7D)
Taking natural log on both sides
![\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}](https://tex.z-dn.net/?f=%5Cln%20%281.20655738%29%3D0.019t%5C%5C%5C%5C%5C%5C%200.18777116%3D0.019t%5C%5C%5C%5C%5C%5C%20t%3D%5Cdfrac%7B0.18777116%7D%7B0.019%7D%5C%5C%5C%5C%5C%5C%20t%3D9.88269263%5Capprox9.9%5C%20%5Ctext%7Byears%7D)
Hence, the required time = 9.9 years.
Answer:
In 5 years, you will have $1,288.48
Step-by-step explanation: