Answer:
$110.25
Step-by-step explanation:
Step one:
given
principal= $100
rate= 5%
time = 2 years
Required
The final amount
Step two:
The compound interest formula is
![A=p(1+r)^t](https://tex.z-dn.net/?f=A%3Dp%281%2Br%29%5Et)
substituting we have
![A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\](https://tex.z-dn.net/?f=A%3D100%281%2B0.05%29%5E2%5C%5C%5C%5CA%3D100%281.05%29%5E2%5C%5C%5C%5CA%3D100%2A1.1025%5C%5C%5C%5CA%3D110.25%5C%5C%5C%5C)
The final amount is $110.25
The answer is 123 I got the answer by multiplying length ×width×hight
For twelve jerseys it would be $210
Answer: varibles coffeeefishents exponets study then eat
Step-by-step explanation:
The plane will make an angle
with the runway.
Explanation:
Given that the plane is flying at an altitude of 11 miles and is 193 miles from the runway, as measured from the ground.
We need to determine the angle that the plane will make with the runway.
From the given measurements, we can see that it is a right angled triangle. Hence, let us use the tangent formula to determine the angle.
The formula for the tangent is given by
![tan \ \theta=\frac{opp}{adj}](https://tex.z-dn.net/?f=tan%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Badj%7D)
Where
and
Substituting these values in the above equation, we get,
![tan \ \theta=\frac{11}{193}](https://tex.z-dn.net/?f=tan%20%5C%20%5Ctheta%3D%5Cfrac%7B11%7D%7B193%7D)
Dividing, we get,
![tan \ \theta=0.057](https://tex.z-dn.net/?f=tan%20%5C%20%5Ctheta%3D0.057)
Taking
on both sides of the equation, we get,
![\theta= tan^{-1}(0.057)](https://tex.z-dn.net/?f=%5Ctheta%3D%20tan%5E%7B-1%7D%280.057%29)
Simplifying, we have,
![\theta= 3.26^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D%203.26%5E%7B%5Ccirc%7D)
Hence, the angle that the plane will make with the runway is ![3.26^{\circ}](https://tex.z-dn.net/?f=3.26%5E%7B%5Ccirc%7D)